{"id":3110,"date":"2022-06-14T18:02:19","date_gmt":"2022-06-14T22:02:19","guid":{"rendered":"https:\/\/openbooks.macewan.ca\/rcommander\/?post_type=back-matter&p=3110"},"modified":"2025-06-24T18:31:06","modified_gmt":"2025-06-24T22:31:06","slug":"statistical-tables","status":"publish","type":"back-matter","link":"https:\/\/openbooks.macewan.ca\/introstats\/back-matter\/statistical-tables\/","title":{"raw":"Appendix B: Statistical Tables","rendered":"Appendix B: Statistical Tables"},"content":{"raw":"
\r\n\r\nTable I: Random Number Table<\/a>\r\n\r\n<\/div>\r\n

Table II: Area under the standard normal curve to the left of a given [latex]z[\/latex] score<\/a><\/p>\r\n

Table III: Normal scores (theoretical quantiles) for normal Q-Q plot given a certain sample size [latex]n[\/latex]<\/a><\/p>\r\n

Table IV: Values of [latex]t_{\\alpha}[\/latex] of [latex]t[\/latex]-distribution for a given degrees of freedom [latex]df[\/latex]<\/a><\/p>\r\n

Table V: Values of [latex]\\chi^2_{\\alpha}[\/latex] of [latex]\\chi^2[\/latex]-distribution for a given degrees of freedom [latex]df[\/latex]<\/a><\/p>\r\n

Table VI: Values of [latex]F_{\\alpha}[\/latex] of [latex]F[\/latex]-distribution for given degrees of freedom [latex]df_n[\/latex] and [latex]df_d[\/latex]<\/a><\/p>\r\n\r\n

Table I: Random Number Table<\/h2>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Line<\/th>\r\nColumn Number<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Number<\/td>\r\n00-09<\/td>\r\n10-19<\/td>\r\n20-29<\/td>\r\n30-39<\/td>\r\n40-49<\/td>\r\n<\/tr>\r\n
00<\/td>\r\n1 6 7 0 4<\/td>\r\n9 9 7 5 7<\/td>\r\n0 2 0 8 4<\/td>\r\n1 3 7 0 1<\/td>\r\n9 1 0 8 5<\/td>\r\n2 2 0 1 0<\/td>\r\n8 4 8 7 0<\/td>\r\n1 8 4 7 7<\/td>\r\n6 5 6 1 0<\/td>\r\n8 1 4 5 3<\/td>\r\n<\/tr>\r\n
01<\/td>\r\n8 7 8 5 8<\/td>\r\n5 0 3 0 8<\/td>\r\n4 7 3 4 5<\/td>\r\n9 1 5 2 8<\/td>\r\n2 8 4 8 3<\/td>\r\n0 0 4 6 7<\/td>\r\n7 2 4 1 9<\/td>\r\n9 8 1 2 5<\/td>\r\n5 0 4 3 6<\/td>\r\n4 0 4 5 4<\/td>\r\n<\/tr>\r\n
02<\/td>\r\n3 0 8 6 8<\/td>\r\n1 1 9 7 3<\/td>\r\n7 9 3 6 0<\/td>\r\n0 1 9 7 6<\/td>\r\n7 8 2 3 9<\/td>\r\n7 7 8 5 4<\/td>\r\n7 0 0 5 3<\/td>\r\n0 2 5 0 3<\/td>\r\n0 6 7 7 4<\/td>\r\n7 4 5 8 4<\/td>\r\n<\/tr>\r\n
03<\/td>\r\n3 6 0 7 9<\/td>\r\n3 4 9 9 7<\/td>\r\n5 3 9 1 3<\/td>\r\n1 9 9 6 4<\/td>\r\n2 2 8 8 9<\/td>\r\n0 4 3 4 8<\/td>\r\n1 9 6 4 0<\/td>\r\n8 4 2 2 3<\/td>\r\n8 6 6 4 1<\/td>\r\n8 7 1 8 7<\/td>\r\n<\/tr>\r\n
04<\/td>\r\n3 1 9 7 2<\/td>\r\n1 8 3 1 3<\/td>\r\n8 7 7 9 8<\/td>\r\n6 0 4 5 5<\/td>\r\n8 2 9 9 4<\/td>\r\n2 7 9 0 4<\/td>\r\n5 4 2 0 7<\/td>\r\n2 4 8 4 3<\/td>\r\n6 4 6 6 0<\/td>\r\n7 0 8 2 2<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
05<\/td>\r\n8 2 5 2 8<\/td>\r\n6 7 3 1 4<\/td>\r\n1 2 7 0 0<\/td>\r\n9 2 3 2 3<\/td>\r\n1 9 5 1 3<\/td>\r\n2 3 9 2 2<\/td>\r\n4 7 1 3 3<\/td>\r\n4 5 4 2 0<\/td>\r\n4 5 6 2 2<\/td>\r\n6 5 8 2 2<\/td>\r\n<\/tr>\r\n
06<\/td>\r\n6 5 6 2 3<\/td>\r\n5 8 9 0 8<\/td>\r\n5 1 8 1 3<\/td>\r\n0 2 3 8 5<\/td>\r\n3 2 9 8 9<\/td>\r\n5 0 5 9 7<\/td>\r\n9 3 0 0 6<\/td>\r\n1 8 2 6 2<\/td>\r\n5 2 9 7 8<\/td>\r\n5 7 2 4 3<\/td>\r\n<\/tr>\r\n
07<\/td>\r\n5 7 6 7 8<\/td>\r\n0 8 5 6 9<\/td>\r\n1 5 1 9 8<\/td>\r\n8 8 2 1 6<\/td>\r\n6 6 4 3 8<\/td>\r\n2 9 0 0 8<\/td>\r\n8 4 1 6 1<\/td>\r\n5 0 1 2 0<\/td>\r\n6 3 1 5 3<\/td>\r\n7 8 9 8 2<\/td>\r\n<\/tr>\r\n
08<\/td>\r\n6 7 3 5 7<\/td>\r\n8 7 7 6 3<\/td>\r\n7 2 5 4 8<\/td>\r\n6 3 5 7 7<\/td>\r\n4 7 5 6 2<\/td>\r\n7 4 4 9 5<\/td>\r\n0 7 7 5 2<\/td>\r\n3 0 6 4 8<\/td>\r\n4 1 0 3 4<\/td>\r\n1 0 8 2 3<\/td>\r\n<\/tr>\r\n
09<\/td>\r\n6 8 2 2 9<\/td>\r\n8 4 1 3 4<\/td>\r\n9 1 0 2 2<\/td>\r\n3 6 0 7 8<\/td>\r\n7 3 4 4 1<\/td>\r\n8 5 3 3 3<\/td>\r\n9 5 7 2 3<\/td>\r\n9 0 4 4 5<\/td>\r\n3 4 3 6 4<\/td>\r\n8 9 7 4 6<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
10<\/td>\r\n1 8 4 2 9<\/td>\r\n8 8 0 4 1<\/td>\r\n4 2 3 6 3<\/td>\r\n8 0 2 9 9<\/td>\r\n0 5 2 4 1<\/td>\r\n8 3 5 2 0<\/td>\r\n4 8 7 8 6<\/td>\r\n7 7 4 2 8<\/td>\r\n4 7 5 2 8<\/td>\r\n1 5 8 1 8<\/td>\r\n<\/tr>\r\n
11<\/td>\r\n9 1 6 7 7<\/td>\r\n0 4 9 2 0<\/td>\r\n2 4 2 2 0<\/td>\r\n7 6 0 2 5<\/td>\r\n8 8 2 9 6<\/td>\r\n8 8 2 3 7<\/td>\r\n9 9 1 4 7<\/td>\r\n7 1 6 9 1<\/td>\r\n0 8 4 9 8<\/td>\r\n9 1 9 9 0<\/td>\r\n<\/tr>\r\n
12<\/td>\r\n9 7 3 2 0<\/td>\r\n4 4 1 6 4<\/td>\r\n3 6 0 8 7<\/td>\r\n0 2 9 7 4<\/td>\r\n7 8 6 4 6<\/td>\r\n1 0 8 4 5<\/td>\r\n6 4 4 5 0<\/td>\r\n3 9 2 0 5<\/td>\r\n4 9 4 4 6<\/td>\r\n8 9 8 3 9<\/td>\r\n<\/tr>\r\n
13<\/td>\r\n7 1 9 5 2<\/td>\r\n7 1 9 9 0<\/td>\r\n9 6 9 5 2<\/td>\r\n8 9 6 4 5<\/td>\r\n2 1 9 5 3<\/td>\r\n9 5 6 7 4<\/td>\r\n0 3 3 0 7<\/td>\r\n9 4 5 8 0<\/td>\r\n6 9 3 9 5<\/td>\r\n5 3 1 6 6<\/td>\r\n<\/tr>\r\n
14<\/td>\r\n7 4 4 3 4<\/td>\r\n2 3 2 5 1<\/td>\r\n6 9 3 8 7<\/td>\r\n1 1 4 3 5<\/td>\r\n8 5 2 9 7<\/td>\r\n2 9 3 6 0<\/td>\r\n9 1 1 6 7<\/td>\r\n3 1 9 9 9<\/td>\r\n9 1 9 5 2<\/td>\r\n9 9 9 7 6<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
15<\/td>\r\n7 5 6 2 5<\/td>\r\n5 4 0 7 2<\/td>\r\n1 5 5 9 6<\/td>\r\n1 9 7 6 0<\/td>\r\n8 2 2 0 5<\/td>\r\n3 8 6 0 2<\/td>\r\n8 1 5 7 1<\/td>\r\n4 2 9 0 5<\/td>\r\n7 3 0 7 2<\/td>\r\n2 1 4 9 8<\/td>\r\n<\/tr>\r\n
16<\/td>\r\n7 8 0 6 8<\/td>\r\n6 1 7 9 9<\/td>\r\n0 4 1 4 9<\/td>\r\n6 0 1 8 2<\/td>\r\n2 9 8 8 6<\/td>\r\n9 8 3 3 1<\/td>\r\n1 6 5 2 2<\/td>\r\n0 2 8 7 7<\/td>\r\n8 8 4 3 1<\/td>\r\n8 9 7 8 0<\/td>\r\n<\/tr>\r\n
17<\/td>\r\n1 6 9 0 4<\/td>\r\n4 5 9 9 8<\/td>\r\n3 2 4 7 6<\/td>\r\n6 6 1 9 3<\/td>\r\n6 1 1 8 8<\/td>\r\n5 8 1 7 7<\/td>\r\n1 3 3 7 7<\/td>\r\n9 3 9 5 4<\/td>\r\n9 2 1 4 0<\/td>\r\n9 7 7 1 3<\/td>\r\n<\/tr>\r\n
18<\/td>\r\n0 2 4 2 5<\/td>\r\n0 0 5 4 8<\/td>\r\n5 9 4 9 0<\/td>\r\n2 7 8 6 8<\/td>\r\n3 6 7 0 0<\/td>\r\n4 1 3 9 0<\/td>\r\n5 7 1 5 3<\/td>\r\n7 7 3 6 1<\/td>\r\n2 4 6 2 8<\/td>\r\n5 7 5 3 0<\/td>\r\n<\/tr>\r\n
19<\/td>\r\n7 4 8 1 3<\/td>\r\n1 9 2 1 5<\/td>\r\n4 4 6 0 5<\/td>\r\n2 1 4 6 7<\/td>\r\n6 2 7 7 6<\/td>\r\n2 2 8 9 2<\/td>\r\n0 0 3 9 4<\/td>\r\n4 2 2 4 9<\/td>\r\n9 6 6 9 7<\/td>\r\n0 2 2 4 1<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Table II: Area under the standard normal curve for negative [latex]z[\/latex]<\/h2>\r\n

\"\"<\/p>\r\n\r\n

\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Second decimal place in [latex]z[\/latex]<\/th>\r\n<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
0.09<\/td>\r\n0.08<\/td>\r\n0.07<\/td>\r\n0.06<\/td>\r\n0.05<\/td>\r\n0.04<\/td>\r\n0.03<\/td>\r\n0.02<\/td>\r\n0.01<\/td>\r\n0.00<\/td>\r\n[latex]z[\/latex]<\/td>\r\n<\/tr>\r\n
0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n0.0000<\/td>\r\n-3.9<\/td>\r\n<\/tr>\r\n
0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n-3.8<\/td>\r\n<\/tr>\r\n
0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n-3.7<\/td>\r\n<\/tr>\r\n
0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0001<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n-3.6<\/td>\r\n<\/tr>\r\n
0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n0.0002<\/td>\r\n-3.5<\/td>\r\n<\/tr>\r\n
0.0002<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n0.0003<\/td>\r\n-3.4<\/td>\r\n<\/tr>\r\n
0.0003<\/td>\r\n0.0004<\/td>\r\n0.0004<\/td>\r\n0.0004<\/td>\r\n0.0004<\/td>\r\n0.0004<\/td>\r\n0.0004<\/td>\r\n0.0005<\/td>\r\n0.0005<\/td>\r\n0.0005<\/td>\r\n-3.3<\/td>\r\n<\/tr>\r\n
0.0005<\/td>\r\n0.0005<\/td>\r\n0.0005<\/td>\r\n0.0006<\/td>\r\n0.0006<\/td>\r\n0.0006<\/td>\r\n0.0006<\/td>\r\n0.0006<\/td>\r\n0.0007<\/td>\r\n0.0007<\/td>\r\n-3.2<\/td>\r\n<\/tr>\r\n
0.0007<\/td>\r\n0.0007<\/td>\r\n0.0008<\/td>\r\n0.0008<\/td>\r\n0.0008<\/td>\r\n0.0008<\/td>\r\n0.0009<\/td>\r\n0.0009<\/td>\r\n0.0009<\/td>\r\n0.0010<\/td>\r\n-3.1<\/td>\r\n<\/tr>\r\n
0.0010<\/td>\r\n0.0010<\/td>\r\n0.0011<\/td>\r\n0.0011<\/td>\r\n0.0011<\/td>\r\n0.0012<\/td>\r\n0.0012<\/td>\r\n0.0013<\/td>\r\n0.0013<\/td>\r\n0.0013<\/td>\r\n-3.0<\/td>\r\n<\/tr>\r\n
0.0014<\/td>\r\n0.0014<\/td>\r\n0.0015<\/td>\r\n0.0015<\/td>\r\n0.0016<\/td>\r\n0.0016<\/td>\r\n0.0017<\/td>\r\n0.0018<\/td>\r\n0.0018<\/td>\r\n0.0019<\/td>\r\n-2.9<\/td>\r\n<\/tr>\r\n
0.0019<\/td>\r\n0.0020<\/td>\r\n0.0021<\/td>\r\n0.0021<\/td>\r\n0.0022<\/td>\r\n0.0023<\/td>\r\n0.0023<\/td>\r\n0.0024<\/td>\r\n0.0025<\/td>\r\n0.0026<\/td>\r\n-2.8<\/td>\r\n<\/tr>\r\n
0.0026<\/td>\r\n0.0027<\/td>\r\n0.0028<\/td>\r\n0.0029<\/td>\r\n0.0030<\/td>\r\n0.0031<\/td>\r\n0.0032<\/td>\r\n0.0033<\/td>\r\n0.0034<\/td>\r\n0.0035<\/td>\r\n-2.7<\/td>\r\n<\/tr>\r\n
0.0036<\/td>\r\n0.0037<\/td>\r\n0.0038<\/td>\r\n0.0039<\/td>\r\n0.0040<\/td>\r\n0.0041<\/td>\r\n0.0043<\/td>\r\n0.0044<\/td>\r\n0.0045<\/td>\r\n0.0047<\/td>\r\n-2.6<\/td>\r\n<\/tr>\r\n
0.0048<\/td>\r\n0.0049<\/td>\r\n0.0051<\/td>\r\n0.0052<\/td>\r\n0.0054<\/td>\r\n0.0055<\/td>\r\n0.0057<\/td>\r\n0.0059<\/td>\r\n0.0060<\/td>\r\n0.0062<\/td>\r\n-2.5<\/td>\r\n<\/tr>\r\n
0.0064<\/td>\r\n0.0066<\/td>\r\n0.0068<\/td>\r\n0.0069<\/td>\r\n0.0071<\/td>\r\n0.0073<\/td>\r\n0.0075<\/td>\r\n0.0078<\/td>\r\n0.0080<\/td>\r\n0.0082<\/td>\r\n-2.4<\/td>\r\n<\/tr>\r\n
0.0084<\/td>\r\n0.0087<\/td>\r\n0.0089<\/td>\r\n0.0091<\/td>\r\n0.0094<\/td>\r\n0.0096<\/td>\r\n0.0099<\/td>\r\n0.0102<\/td>\r\n0.0104<\/td>\r\n0.0107<\/td>\r\n-2.3<\/td>\r\n<\/tr>\r\n
0.0110<\/td>\r\n0.0113<\/td>\r\n0.0116<\/td>\r\n0.0119<\/td>\r\n0.0122<\/td>\r\n0.0125<\/td>\r\n0.0129<\/td>\r\n0.0132<\/td>\r\n0.0136<\/td>\r\n0.0139<\/td>\r\n-2.2<\/td>\r\n<\/tr>\r\n
0.0143<\/td>\r\n0.0146<\/td>\r\n0.0150<\/td>\r\n0.0154<\/td>\r\n0.0158<\/td>\r\n0.0162<\/td>\r\n0.0166<\/td>\r\n0.0170<\/td>\r\n0.0174<\/td>\r\n0.0179<\/td>\r\n-2.1<\/td>\r\n<\/tr>\r\n
0.0183<\/td>\r\n0.0188<\/td>\r\n0.0192<\/td>\r\n0.0197<\/td>\r\n0.0202<\/td>\r\n0.0207<\/td>\r\n0.0212<\/td>\r\n0.0217<\/td>\r\n0.0222<\/td>\r\n0.0228<\/td>\r\n-2.0<\/td>\r\n<\/tr>\r\n
0.0233<\/td>\r\n0.0239<\/td>\r\n0.0244<\/td>\r\n0.0250<\/td>\r\n0.0256<\/td>\r\n0.0262<\/td>\r\n0.0268<\/td>\r\n0.0274<\/td>\r\n0.0281<\/td>\r\n0.0287<\/td>\r\n-1.9<\/td>\r\n<\/tr>\r\n
0.0294<\/td>\r\n0.0301<\/td>\r\n0.0307<\/td>\r\n0.0314<\/td>\r\n0.0322<\/td>\r\n0.0329<\/td>\r\n0.0336<\/td>\r\n0.0344<\/td>\r\n0.0351<\/td>\r\n0.0359<\/td>\r\n-1.8<\/td>\r\n<\/tr>\r\n
0.0367<\/td>\r\n0.0375<\/td>\r\n0.0384<\/td>\r\n0.0392<\/td>\r\n0.0401<\/td>\r\n0.0409<\/td>\r\n0.0418<\/td>\r\n0.0427<\/td>\r\n0.0436<\/td>\r\n0.0446<\/td>\r\n-1.7<\/td>\r\n<\/tr>\r\n
0.0455<\/td>\r\n0.0465<\/td>\r\n0.0475<\/td>\r\n0.0485<\/td>\r\n0.0495<\/td>\r\n0.0505<\/td>\r\n0.0516<\/td>\r\n0.0526<\/td>\r\n0.0537<\/td>\r\n0.0548<\/td>\r\n-1.6<\/td>\r\n<\/tr>\r\n
0.0559<\/td>\r\n0.0571<\/td>\r\n0.0582<\/td>\r\n0.0594<\/td>\r\n0.0606<\/td>\r\n0.0618<\/td>\r\n0.0630<\/td>\r\n0.0643<\/td>\r\n0.0655<\/td>\r\n0.0668<\/td>\r\n-1.5<\/td>\r\n<\/tr>\r\n
0.0681<\/td>\r\n0.0694<\/td>\r\n0.0708<\/td>\r\n0.0721<\/td>\r\n0.0735<\/td>\r\n0.0749<\/td>\r\n0.0764<\/td>\r\n0.0778<\/td>\r\n0.0793<\/td>\r\n0.0808<\/td>\r\n-1.4<\/td>\r\n<\/tr>\r\n
0.0823<\/td>\r\n0.0838<\/td>\r\n0.0853<\/td>\r\n0.0869<\/td>\r\n0.0885<\/td>\r\n0.0901<\/td>\r\n0.0918<\/td>\r\n0.0934<\/td>\r\n0.0951<\/td>\r\n0.0968<\/td>\r\n-1.3<\/td>\r\n<\/tr>\r\n
0.0985<\/td>\r\n0.1003<\/td>\r\n0.1020<\/td>\r\n0.1038<\/td>\r\n0.1056<\/td>\r\n0.1075<\/td>\r\n0.1093<\/td>\r\n0.1112<\/td>\r\n0.1131<\/td>\r\n0.1151<\/td>\r\n-1.2<\/td>\r\n<\/tr>\r\n
0.1170<\/td>\r\n0.1190<\/td>\r\n0.1210<\/td>\r\n0.1230<\/td>\r\n0.1251<\/td>\r\n0.1271<\/td>\r\n0.1292<\/td>\r\n0.1314<\/td>\r\n0.1335<\/td>\r\n0.1357<\/td>\r\n-1.1<\/td>\r\n<\/tr>\r\n
0.1379<\/td>\r\n0.1401<\/td>\r\n0.1423<\/td>\r\n0.1446<\/td>\r\n0.1469<\/td>\r\n0.1492<\/td>\r\n0.1515<\/td>\r\n0.1539<\/td>\r\n0.1562<\/td>\r\n0.1587<\/td>\r\n-1.0<\/td>\r\n<\/tr>\r\n
0.1611<\/td>\r\n0.1635<\/td>\r\n0.1660<\/td>\r\n0.1685<\/td>\r\n0.1711<\/td>\r\n0.1736<\/td>\r\n0.1762<\/td>\r\n0.1788<\/td>\r\n0.1814<\/td>\r\n0.1841<\/td>\r\n-0.9<\/td>\r\n<\/tr>\r\n
0.1867<\/td>\r\n0.1894<\/td>\r\n0.1922<\/td>\r\n0.1949<\/td>\r\n0.1977<\/td>\r\n0.2005<\/td>\r\n0.2033<\/td>\r\n0.2061<\/td>\r\n0.2090<\/td>\r\n0.2119<\/td>\r\n-0.8<\/td>\r\n<\/tr>\r\n
0.2148<\/td>\r\n0.2177<\/td>\r\n0.2206<\/td>\r\n0.2236<\/td>\r\n0.2266<\/td>\r\n0.2296<\/td>\r\n0.2327<\/td>\r\n0.2358<\/td>\r\n0.2389<\/td>\r\n0.2420<\/td>\r\n-0.7<\/td>\r\n<\/tr>\r\n
0.2451<\/td>\r\n0.2483<\/td>\r\n0.2514<\/td>\r\n0.2546<\/td>\r\n0.2578<\/td>\r\n0.2611<\/td>\r\n0.2643<\/td>\r\n0.2676<\/td>\r\n0.2709<\/td>\r\n0.2743<\/td>\r\n-0.6<\/td>\r\n<\/tr>\r\n
0.2776<\/td>\r\n0.2810<\/td>\r\n0.2843<\/td>\r\n0.2877<\/td>\r\n0.2912<\/td>\r\n0.2946<\/td>\r\n0.2981<\/td>\r\n0.3015<\/td>\r\n0.3050<\/td>\r\n0.3085<\/td>\r\n-0.5<\/td>\r\n<\/tr>\r\n
0.3121<\/td>\r\n0.3156<\/td>\r\n0.3192<\/td>\r\n0.3228<\/td>\r\n0.3264<\/td>\r\n0.3300<\/td>\r\n0.3336<\/td>\r\n0.3372<\/td>\r\n0.3409<\/td>\r\n0.3446<\/td>\r\n-0.4<\/td>\r\n<\/tr>\r\n
0.3483<\/td>\r\n0.3520<\/td>\r\n0.3557<\/td>\r\n0.3594<\/td>\r\n0.3632<\/td>\r\n0.3669<\/td>\r\n0.3707<\/td>\r\n0.3745<\/td>\r\n0.3783<\/td>\r\n0.3821<\/td>\r\n-0.3<\/td>\r\n<\/tr>\r\n
0.3859<\/td>\r\n0.3897<\/td>\r\n0.3936<\/td>\r\n0.3974<\/td>\r\n0.4013<\/td>\r\n0.4052<\/td>\r\n0.4090<\/td>\r\n0.4129<\/td>\r\n0.4168<\/td>\r\n0.4207<\/td>\r\n-0.2<\/td>\r\n<\/tr>\r\n
0.4247<\/td>\r\n0.4286<\/td>\r\n0.4325<\/td>\r\n0.4364<\/td>\r\n0.4404<\/td>\r\n0.4443<\/td>\r\n0.4483<\/td>\r\n0.4522<\/td>\r\n0.4562<\/td>\r\n0.4602<\/td>\r\n-0.1<\/td>\r\n<\/tr>\r\n
0.4641<\/td>\r\n0.4681<\/td>\r\n0.4721<\/td>\r\n0.4761<\/td>\r\n0.4801<\/td>\r\n0.4840<\/td>\r\n0.4880<\/td>\r\n0.4920<\/td>\r\n0.4960<\/td>\r\n0.5000<\/td>\r\n-0.0<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n

Table II: Area under the standard normal curve for positive [latex]z[\/latex]<\/h2>\r\n

\"\"<\/p>\r\n\r\n

\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\nSecond decimal place in [latex]z[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]z[\/latex]<\/td>\r\n0.00<\/td>\r\n0.01<\/td>\r\n0.02<\/td>\r\n0.03<\/td>\r\n0.04<\/td>\r\n0.05<\/td>\r\n0.06<\/td>\r\n0.07<\/td>\r\n0.08<\/td>\r\n0.09<\/td>\r\n<\/tr>\r\n
0.0<\/td>\r\n0.5000<\/td>\r\n0.5040<\/td>\r\n0.5080<\/td>\r\n0.5120<\/td>\r\n0.5160<\/td>\r\n0.5199<\/td>\r\n0.5239<\/td>\r\n0.5279<\/td>\r\n0.5319<\/td>\r\n0.5359<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n0.5398<\/td>\r\n0.5438<\/td>\r\n0.5478<\/td>\r\n0.5517<\/td>\r\n0.5557<\/td>\r\n0.5596<\/td>\r\n0.5636<\/td>\r\n0.5675<\/td>\r\n0.5714<\/td>\r\n0.5753<\/td>\r\n<\/tr>\r\n
0.2<\/td>\r\n0.5793<\/td>\r\n0.5832<\/td>\r\n0.5871<\/td>\r\n0.5910<\/td>\r\n0.5948<\/td>\r\n0.5987<\/td>\r\n0.6026<\/td>\r\n0.6064<\/td>\r\n0.6103<\/td>\r\n0.6141<\/td>\r\n<\/tr>\r\n
0.3<\/td>\r\n0.6179<\/td>\r\n0.6217<\/td>\r\n0.6255<\/td>\r\n0.6293<\/td>\r\n0.6331<\/td>\r\n0.6368<\/td>\r\n0.6406<\/td>\r\n0.6443<\/td>\r\n0.6480<\/td>\r\n0.6517<\/td>\r\n<\/tr>\r\n
0.4<\/td>\r\n0.6554<\/td>\r\n0.6591<\/td>\r\n0.6628<\/td>\r\n0.6664<\/td>\r\n0.6700<\/td>\r\n0.6736<\/td>\r\n0.6772<\/td>\r\n0.6808<\/td>\r\n0.6844<\/td>\r\n0.6879<\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.6915<\/td>\r\n0.6950<\/td>\r\n0.6985<\/td>\r\n0.7019<\/td>\r\n0.7054<\/td>\r\n0.7088<\/td>\r\n0.7123<\/td>\r\n0.7157<\/td>\r\n0.7190<\/td>\r\n0.7224<\/td>\r\n<\/tr>\r\n
0.6<\/td>\r\n0.7257<\/td>\r\n0.7291<\/td>\r\n0.7324<\/td>\r\n0.7357<\/td>\r\n0.7389<\/td>\r\n0.7422<\/td>\r\n0.7454<\/td>\r\n0.7486<\/td>\r\n0.7517<\/td>\r\n0.7549<\/td>\r\n<\/tr>\r\n
0.7<\/td>\r\n0.7580<\/td>\r\n0.7611<\/td>\r\n0.7642<\/td>\r\n0.7673<\/td>\r\n0.7704<\/td>\r\n0.7734<\/td>\r\n0.7764<\/td>\r\n0.7794<\/td>\r\n0.7823<\/td>\r\n0.7852<\/td>\r\n<\/tr>\r\n
0.8<\/td>\r\n0.7881<\/td>\r\n0.7910<\/td>\r\n0.7939<\/td>\r\n0.7967<\/td>\r\n0.7995<\/td>\r\n0.8023<\/td>\r\n0.8051<\/td>\r\n0.8078<\/td>\r\n0.8106<\/td>\r\n0.8133<\/td>\r\n<\/tr>\r\n
0.9<\/td>\r\n0.8159<\/td>\r\n0.8186<\/td>\r\n0.8212<\/td>\r\n0.8238<\/td>\r\n0.8264<\/td>\r\n0.8289<\/td>\r\n0.8315<\/td>\r\n0.8340<\/td>\r\n0.8365<\/td>\r\n0.8389<\/td>\r\n<\/tr>\r\n
1.0<\/td>\r\n0.8413<\/td>\r\n0.8438<\/td>\r\n0.8461<\/td>\r\n0.8485<\/td>\r\n0.8508<\/td>\r\n0.8531<\/td>\r\n0.8554<\/td>\r\n0.8577<\/td>\r\n0.8599<\/td>\r\n0.8621<\/td>\r\n<\/tr>\r\n
1.1<\/td>\r\n0.8643<\/td>\r\n0.8665<\/td>\r\n0.8686<\/td>\r\n0.8708<\/td>\r\n0.8729<\/td>\r\n0.8749<\/td>\r\n0.8770<\/td>\r\n0.8790<\/td>\r\n0.8810<\/td>\r\n0.8830<\/td>\r\n<\/tr>\r\n
1.2<\/td>\r\n0.8849<\/td>\r\n0.8869<\/td>\r\n0.8888<\/td>\r\n0.8907<\/td>\r\n0.8925<\/td>\r\n0.8944<\/td>\r\n0.8962<\/td>\r\n0.8980<\/td>\r\n0.8997<\/td>\r\n0.9015<\/td>\r\n<\/tr>\r\n
1.3<\/td>\r\n0.9032<\/td>\r\n0.9049<\/td>\r\n0.9066<\/td>\r\n0.9082<\/td>\r\n0.9099<\/td>\r\n0.9115<\/td>\r\n0.9131<\/td>\r\n0.9147<\/td>\r\n0.9162<\/td>\r\n0.9177<\/td>\r\n<\/tr>\r\n
1.4<\/td>\r\n0.9192<\/td>\r\n0.9207<\/td>\r\n0.9222<\/td>\r\n0.9236<\/td>\r\n0.9251<\/td>\r\n0.9265<\/td>\r\n0.9279<\/td>\r\n0.9292<\/td>\r\n0.9306<\/td>\r\n0.9319<\/td>\r\n<\/tr>\r\n
1.5<\/td>\r\n0.9332<\/td>\r\n0.9345<\/td>\r\n0.9357<\/td>\r\n0.9370<\/td>\r\n0.9382<\/td>\r\n0.9394<\/td>\r\n0.9406<\/td>\r\n0.9418<\/td>\r\n0.9429<\/td>\r\n0.9441<\/td>\r\n<\/tr>\r\n
1.6<\/td>\r\n0.9452<\/td>\r\n0.9463<\/td>\r\n0.9474<\/td>\r\n0.9484<\/td>\r\n0.9495<\/td>\r\n0.9505<\/td>\r\n0.9515<\/td>\r\n0.9525<\/td>\r\n0.9535<\/td>\r\n0.9545<\/td>\r\n<\/tr>\r\n
1.7<\/td>\r\n0.9554<\/td>\r\n0.9564<\/td>\r\n0.9573<\/td>\r\n0.9582<\/td>\r\n0.9591<\/td>\r\n0.9599<\/td>\r\n0.9608<\/td>\r\n0.9616<\/td>\r\n0.9625<\/td>\r\n0.9633<\/td>\r\n<\/tr>\r\n
1.8<\/td>\r\n0.9641<\/td>\r\n0.9649<\/td>\r\n0.9656<\/td>\r\n0.9664<\/td>\r\n0.9671<\/td>\r\n0.9678<\/td>\r\n0.9686<\/td>\r\n0.9693<\/td>\r\n0.9699<\/td>\r\n0.9706<\/td>\r\n<\/tr>\r\n
1.9<\/td>\r\n0.9713<\/td>\r\n0.9719<\/td>\r\n0.9726<\/td>\r\n0.9732<\/td>\r\n0.9738<\/td>\r\n0.9744<\/td>\r\n0.9750<\/td>\r\n0.9756<\/td>\r\n0.9761<\/td>\r\n0.9767<\/td>\r\n<\/tr>\r\n
2.0<\/td>\r\n0.9772<\/td>\r\n0.9778<\/td>\r\n0.9783<\/td>\r\n0.9788<\/td>\r\n0.9793<\/td>\r\n0.9798<\/td>\r\n0.9803<\/td>\r\n0.9808<\/td>\r\n0.9812<\/td>\r\n0.9817<\/td>\r\n<\/tr>\r\n
2.1<\/td>\r\n0.9821<\/td>\r\n0.9826<\/td>\r\n0.9830<\/td>\r\n0.9834<\/td>\r\n0.9838<\/td>\r\n0.9842<\/td>\r\n0.9846<\/td>\r\n0.9850<\/td>\r\n0.9854<\/td>\r\n0.9857<\/td>\r\n<\/tr>\r\n
2.2<\/td>\r\n0.9861<\/td>\r\n0.9864<\/td>\r\n0.9868<\/td>\r\n0.9871<\/td>\r\n0.9875<\/td>\r\n0.9878<\/td>\r\n0.9881<\/td>\r\n0.9884<\/td>\r\n0.9887<\/td>\r\n0.9890<\/td>\r\n<\/tr>\r\n
2.3<\/td>\r\n0.9893<\/td>\r\n0.9896<\/td>\r\n0.9898<\/td>\r\n0.9901<\/td>\r\n0.9904<\/td>\r\n0.9906<\/td>\r\n0.9909<\/td>\r\n0.9911<\/td>\r\n0.9913<\/td>\r\n0.9916<\/td>\r\n<\/tr>\r\n
2.4<\/td>\r\n0.9918<\/td>\r\n0.9920<\/td>\r\n0.9922<\/td>\r\n0.9925<\/td>\r\n0.9927<\/td>\r\n0.9929<\/td>\r\n0.9931<\/td>\r\n0.9932<\/td>\r\n0.9934<\/td>\r\n0.9936<\/td>\r\n<\/tr>\r\n
2.5<\/td>\r\n0.9938<\/td>\r\n0.9940<\/td>\r\n0.9941<\/td>\r\n0.9943<\/td>\r\n0.9945<\/td>\r\n0.9946<\/td>\r\n0.9948<\/td>\r\n0.9949<\/td>\r\n0.9951<\/td>\r\n0.9952<\/td>\r\n<\/tr>\r\n
2.6<\/td>\r\n0.9953<\/td>\r\n0.9955<\/td>\r\n0.9956<\/td>\r\n0.9957<\/td>\r\n0.9959<\/td>\r\n0.9960<\/td>\r\n0.9961<\/td>\r\n0.9962<\/td>\r\n0.9963<\/td>\r\n0.9964<\/td>\r\n<\/tr>\r\n
2.7<\/td>\r\n0.9965<\/td>\r\n0.9966<\/td>\r\n0.9967<\/td>\r\n0.9968<\/td>\r\n0.9969<\/td>\r\n0.9970<\/td>\r\n0.9971<\/td>\r\n0.9972<\/td>\r\n0.9973<\/td>\r\n0.9974<\/td>\r\n<\/tr>\r\n
2.8<\/td>\r\n0.9974<\/td>\r\n0.9975<\/td>\r\n0.9976<\/td>\r\n0.9977<\/td>\r\n0.9977<\/td>\r\n0.9978<\/td>\r\n0.9979<\/td>\r\n0.9979<\/td>\r\n0.9980<\/td>\r\n0.9981<\/td>\r\n<\/tr>\r\n
2.9<\/td>\r\n0.9981<\/td>\r\n0.9982<\/td>\r\n0.9982<\/td>\r\n0.9983<\/td>\r\n0.9984<\/td>\r\n0.9984<\/td>\r\n0.9985<\/td>\r\n0.9985<\/td>\r\n0.9986<\/td>\r\n0.9986<\/td>\r\n<\/tr>\r\n
3.0<\/td>\r\n0.9987<\/td>\r\n0.9987<\/td>\r\n0.9987<\/td>\r\n0.9988<\/td>\r\n0.9988<\/td>\r\n0.9989<\/td>\r\n0.9989<\/td>\r\n0.9989<\/td>\r\n0.9990<\/td>\r\n0.9990<\/td>\r\n<\/tr>\r\n
3.1<\/td>\r\n0.9990<\/td>\r\n0.9991<\/td>\r\n0.9991<\/td>\r\n0.9991<\/td>\r\n0.9992<\/td>\r\n0.9992<\/td>\r\n0.9992<\/td>\r\n0.9992<\/td>\r\n0.9993<\/td>\r\n0.9993<\/td>\r\n<\/tr>\r\n
3.2<\/td>\r\n0.9993<\/td>\r\n0.9993<\/td>\r\n0.9994<\/td>\r\n0.9994<\/td>\r\n0.9994<\/td>\r\n0.9994<\/td>\r\n0.9994<\/td>\r\n0.9995<\/td>\r\n0.9995<\/td>\r\n0.9995<\/td>\r\n<\/tr>\r\n
3.3<\/td>\r\n0.9995<\/td>\r\n0.9995<\/td>\r\n0.9995<\/td>\r\n0.9996<\/td>\r\n0.9996<\/td>\r\n0.9996<\/td>\r\n0.9996<\/td>\r\n0.9996<\/td>\r\n0.9996<\/td>\r\n0.9997<\/td>\r\n<\/tr>\r\n
3.4<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9997<\/td>\r\n0.9998<\/td>\r\n<\/tr>\r\n
3.5<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n<\/tr>\r\n
3.6<\/td>\r\n0.9998<\/td>\r\n0.9998<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n<\/tr>\r\n
3.7<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n<\/tr>\r\n
3.8<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n0.9999<\/td>\r\n<\/tr>\r\n
3.9<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n1.0000<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n

Table III: Normal scores for normal Q-Q plot<\/h2>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\nSample size [latex]n[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Rank<\/td>\r\n5<\/td>\r\n6<\/td>\r\n7<\/td>\r\n8<\/td>\r\n9<\/td>\r\n10<\/td>\r\n11<\/td>\r\n12<\/td>\r\n13<\/td>\r\n14<\/td>\r\n15<\/td>\r\n16<\/td>\r\n17<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n-1.18<\/td>\r\n-1.28<\/td>\r\n-1.36<\/td>\r\n-1.43<\/td>\r\n-1.49<\/td>\r\n-1.55<\/td>\r\n-1.59<\/td>\r\n-1.64<\/td>\r\n-1.67<\/td>\r\n-1.71<\/td>\r\n-1.74<\/td>\r\n-1.77<\/td>\r\n-1.80<\/td>\r\n<\/tr>\r\n
2<\/td>\r\n-0.50<\/td>\r\n-0.64<\/td>\r\n-0.76<\/td>\r\n-0.85<\/td>\r\n-0.93<\/td>\r\n-1.00<\/td>\r\n-1.06<\/td>\r\n-1.11<\/td>\r\n-1.16<\/td>\r\n-1.21<\/td>\r\n-1.25<\/td>\r\n-1.28<\/td>\r\n-1.32<\/td>\r\n<\/tr>\r\n
3<\/td>\r\n0.00<\/td>\r\n-0.20<\/td>\r\n-0.35<\/td>\r\n-0.47<\/td>\r\n-0.57<\/td>\r\n-0.66<\/td>\r\n-0.73<\/td>\r\n-0.79<\/td>\r\n-0.85<\/td>\r\n-0.90<\/td>\r\n-0.95<\/td>\r\n-0.99<\/td>\r\n-1.03<\/td>\r\n<\/tr>\r\n
4<\/td>\r\n0.50<\/td>\r\n0.20<\/td>\r\n0.00<\/td>\r\n-0.15<\/td>\r\n-0.27<\/td>\r\n-0.38<\/td>\r\n-0.46<\/td>\r\n-0.54<\/td>\r\n-0.60<\/td>\r\n-0.66<\/td>\r\n-0.71<\/td>\r\n-0.76<\/td>\r\n-0.81<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n1.18<\/td>\r\n0.64<\/td>\r\n0.35<\/td>\r\n0.15<\/td>\r\n0.00<\/td>\r\n-0.12<\/td>\r\n-0.22<\/td>\r\n-0.31<\/td>\r\n-0.39<\/td>\r\n-0.45<\/td>\r\n-0.51<\/td>\r\n-0.57<\/td>\r\n-0.62<\/td>\r\n<\/tr>\r\n
6<\/td>\r\n<\/td>\r\n1.28<\/td>\r\n0.76<\/td>\r\n0.47<\/td>\r\n0.27<\/td>\r\n0.12<\/td>\r\n0.00<\/td>\r\n-0.10<\/td>\r\n-0.19<\/td>\r\n-0.27<\/td>\r\n-0.33<\/td>\r\n-0.40<\/td>\r\n-0.45<\/td>\r\n<\/tr>\r\n
7<\/td>\r\n<\/td>\r\n<\/td>\r\n1.36<\/td>\r\n0.85<\/td>\r\n0.57<\/td>\r\n0.38<\/td>\r\n0.22<\/td>\r\n0.10<\/td>\r\n0.00<\/td>\r\n-0.09<\/td>\r\n-0.17<\/td>\r\n-0.23<\/td>\r\n-0.29<\/td>\r\n<\/tr>\r\n
8<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.43<\/td>\r\n0.93<\/td>\r\n0.66<\/td>\r\n0.46<\/td>\r\n0.31<\/td>\r\n0.19<\/td>\r\n0.09<\/td>\r\n0.00<\/td>\r\n-0.08<\/td>\r\n-0.15<\/td>\r\n<\/tr>\r\n
9<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.49<\/td>\r\n1.00<\/td>\r\n0.73<\/td>\r\n0.54<\/td>\r\n0.39<\/td>\r\n0.27<\/td>\r\n0.17<\/td>\r\n0.08<\/td>\r\n0.00<\/td>\r\n<\/tr>\r\n
10<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.55<\/td>\r\n1.06<\/td>\r\n0.79<\/td>\r\n0.60<\/td>\r\n0.45<\/td>\r\n0.33<\/td>\r\n0.23<\/td>\r\n0.15<\/td>\r\n<\/tr>\r\n
11<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.59<\/td>\r\n1.11<\/td>\r\n0.85<\/td>\r\n0.66<\/td>\r\n0.51<\/td>\r\n0.40<\/td>\r\n0.29<\/td>\r\n<\/tr>\r\n
12<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.64<\/td>\r\n1.16<\/td>\r\n0.90<\/td>\r\n0.71<\/td>\r\n0.57<\/td>\r\n0.45<\/td>\r\n<\/tr>\r\n
13<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.67<\/td>\r\n1.21<\/td>\r\n0.95<\/td>\r\n0.76<\/td>\r\n0.62<\/td>\r\n<\/tr>\r\n
14<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.71<\/td>\r\n1.25<\/td>\r\n0.99<\/td>\r\n0.81<\/td>\r\n<\/tr>\r\n
15<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.74<\/td>\r\n1.28<\/td>\r\n1.03<\/td>\r\n<\/tr>\r\n
16<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.77<\/td>\r\n1.32<\/td>\r\n<\/tr>\r\n
17<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.80<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\nSample size [latex]n[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Rank<\/td>\r\n18<\/td>\r\n19<\/td>\r\n20<\/td>\r\n21<\/td>\r\n22<\/td>\r\n23<\/td>\r\n24<\/td>\r\n25<\/td>\r\n26<\/td>\r\n27<\/td>\r\n28<\/td>\r\n29<\/td>\r\n30<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n-1.82<\/td>\r\n-1.85<\/td>\r\n-1.87<\/td>\r\n-1.89<\/td>\r\n-1.91<\/td>\r\n-1.93<\/td>\r\n-1.95<\/td>\r\n-1.96<\/td>\r\n-1.98<\/td>\r\n-2.00<\/td>\r\n-2.01<\/td>\r\n-2.03<\/td>\r\n-2.04<\/td>\r\n<\/tr>\r\n
2<\/td>\r\n-1.35<\/td>\r\n-1.38<\/td>\r\n-1.40<\/td>\r\n-1.43<\/td>\r\n-1.45<\/td>\r\n-1.48<\/td>\r\n-1.50<\/td>\r\n-1.52<\/td>\r\n-1.54<\/td>\r\n-1.56<\/td>\r\n-1.58<\/td>\r\n-1.59<\/td>\r\n-1.61<\/td>\r\n<\/tr>\r\n
3<\/td>\r\n-1.06<\/td>\r\n-1.10<\/td>\r\n-1.13<\/td>\r\n-1.16<\/td>\r\n-1.19<\/td>\r\n-1.21<\/td>\r\n-1.24<\/td>\r\n-1.26<\/td>\r\n-1.28<\/td>\r\n-1.30<\/td>\r\n-1.32<\/td>\r\n-1.34<\/td>\r\n-1.36<\/td>\r\n<\/tr>\r\n
4<\/td>\r\n-0.85<\/td>\r\n-0.88<\/td>\r\n-0.92<\/td>\r\n-0.95<\/td>\r\n-0.98<\/td>\r\n-1.01<\/td>\r\n-1.04<\/td>\r\n-1.06<\/td>\r\n-1.09<\/td>\r\n-1.11<\/td>\r\n-1.13<\/td>\r\n-1.16<\/td>\r\n-1.18<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n-0.66<\/td>\r\n-0.71<\/td>\r\n-0.74<\/td>\r\n-0.78<\/td>\r\n-0.81<\/td>\r\n-0.85<\/td>\r\n-0.88<\/td>\r\n-0.90<\/td>\r\n-0.93<\/td>\r\n-0.96<\/td>\r\n-0.98<\/td>\r\n-1.00<\/td>\r\n-1.02<\/td>\r\n<\/tr>\r\n
6<\/td>\r\n-0.50<\/td>\r\n-0.55<\/td>\r\n-0.59<\/td>\r\n-0.63<\/td>\r\n-0.67<\/td>\r\n-0.70<\/td>\r\n-0.73<\/td>\r\n-0.76<\/td>\r\n-0.79<\/td>\r\n-0.82<\/td>\r\n-0.84<\/td>\r\n-0.87<\/td>\r\n-0.89<\/td>\r\n<\/tr>\r\n
7<\/td>\r\n-0.35<\/td>\r\n-0.40<\/td>\r\n-0.45<\/td>\r\n-0.49<\/td>\r\n-0.53<\/td>\r\n-0.57<\/td>\r\n-0.60<\/td>\r\n-0.64<\/td>\r\n-0.67<\/td>\r\n-0.70<\/td>\r\n-0.72<\/td>\r\n-0.75<\/td>\r\n-0.78<\/td>\r\n<\/tr>\r\n
8<\/td>\r\n-0.21<\/td>\r\n-0.26<\/td>\r\n-0.31<\/td>\r\n-0.36<\/td>\r\n-0.41<\/td>\r\n-0.45<\/td>\r\n-0.48<\/td>\r\n-0.52<\/td>\r\n-0.55<\/td>\r\n-0.58<\/td>\r\n-0.61<\/td>\r\n-0.64<\/td>\r\n-0.67<\/td>\r\n<\/tr>\r\n
9<\/td>\r\n-0.07<\/td>\r\n-0.13<\/td>\r\n-0.19<\/td>\r\n-0.24<\/td>\r\n-0.29<\/td>\r\n-0.33<\/td>\r\n-0.37<\/td>\r\n-0.41<\/td>\r\n-0.44<\/td>\r\n-0.48<\/td>\r\n-0.51<\/td>\r\n-0.54<\/td>\r\n-0.57<\/td>\r\n<\/tr>\r\n
10<\/td>\r\n0.07<\/td>\r\n0.00<\/td>\r\n-0.06<\/td>\r\n-0.12<\/td>\r\n-0.17<\/td>\r\n-0.22<\/td>\r\n-0.26<\/td>\r\n-0.30<\/td>\r\n-0.34<\/td>\r\n-0.38<\/td>\r\n-0.41<\/td>\r\n-0.44<\/td>\r\n-0.47<\/td>\r\n<\/tr>\r\n
11<\/td>\r\n0.21<\/td>\r\n0.13<\/td>\r\n0.06<\/td>\r\n0.00<\/td>\r\n-0.06<\/td>\r\n-0.11<\/td>\r\n-0.16<\/td>\r\n-0.20<\/td>\r\n-0.24<\/td>\r\n-0.28<\/td>\r\n-0.32<\/td>\r\n-0.35<\/td>\r\n-0.38<\/td>\r\n<\/tr>\r\n
12<\/td>\r\n0.35<\/td>\r\n0.26<\/td>\r\n0.19<\/td>\r\n0.12<\/td>\r\n0.06<\/td>\r\n0.00<\/td>\r\n-0.05<\/td>\r\n-0.10<\/td>\r\n-0.14<\/td>\r\n-0.19<\/td>\r\n-0.22<\/td>\r\n-0.26<\/td>\r\n-0.29<\/td>\r\n<\/tr>\r\n
13<\/td>\r\n0.50<\/td>\r\n0.40<\/td>\r\n0.31<\/td>\r\n0.24<\/td>\r\n0.17<\/td>\r\n0.11<\/td>\r\n0.05<\/td>\r\n0.00<\/td>\r\n-0.05<\/td>\r\n-0.09<\/td>\r\n-0.13<\/td>\r\n-0.17<\/td>\r\n-0.21<\/td>\r\n<\/tr>\r\n
14<\/td>\r\n0.66<\/td>\r\n0.55<\/td>\r\n0.45<\/td>\r\n0.36<\/td>\r\n0.29<\/td>\r\n0.22<\/td>\r\n0.16<\/td>\r\n0.10<\/td>\r\n0.05<\/td>\r\n0.00<\/td>\r\n-0.04<\/td>\r\n-0.09<\/td>\r\n-0.12<\/td>\r\n<\/tr>\r\n
15<\/td>\r\n0.85<\/td>\r\n0.71<\/td>\r\n0.59<\/td>\r\n0.49<\/td>\r\n0.41<\/td>\r\n0.33<\/td>\r\n0.26<\/td>\r\n0.20<\/td>\r\n0.14<\/td>\r\n0.09<\/td>\r\n0.04<\/td>\r\n0.00<\/td>\r\n-0.04<\/td>\r\n<\/tr>\r\n
16<\/td>\r\n1.06<\/td>\r\n0.88<\/td>\r\n0.74<\/td>\r\n0.63<\/td>\r\n0.53<\/td>\r\n0.45<\/td>\r\n0.37<\/td>\r\n0.30<\/td>\r\n0.24<\/td>\r\n0.19<\/td>\r\n0.13<\/td>\r\n0.09<\/td>\r\n0.04<\/td>\r\n<\/tr>\r\n
17<\/td>\r\n1.35<\/td>\r\n1.10<\/td>\r\n0.92<\/td>\r\n0.78<\/td>\r\n0.67<\/td>\r\n0.57<\/td>\r\n0.48<\/td>\r\n0.41<\/td>\r\n0.34<\/td>\r\n0.28<\/td>\r\n0.22<\/td>\r\n0.17<\/td>\r\n0.12<\/td>\r\n<\/tr>\r\n
18<\/td>\r\n1.82<\/td>\r\n1.38<\/td>\r\n1.13<\/td>\r\n0.95<\/td>\r\n0.81<\/td>\r\n0.70<\/td>\r\n0.60<\/td>\r\n0.52<\/td>\r\n0.44<\/td>\r\n0.38<\/td>\r\n0.32<\/td>\r\n0.26<\/td>\r\n0.21<\/td>\r\n<\/tr>\r\n
19<\/td>\r\n<\/td>\r\n1.85<\/td>\r\n1.40<\/td>\r\n1.16<\/td>\r\n0.98<\/td>\r\n0.85<\/td>\r\n0.73<\/td>\r\n0.64<\/td>\r\n0.55<\/td>\r\n0.48<\/td>\r\n0.41<\/td>\r\n0.35<\/td>\r\n0.29<\/td>\r\n<\/tr>\r\n
20<\/td>\r\n<\/td>\r\n<\/td>\r\n1.87<\/td>\r\n1.43<\/td>\r\n1.19<\/td>\r\n1.01<\/td>\r\n0.88<\/td>\r\n0.76<\/td>\r\n0.67<\/td>\r\n0.58<\/td>\r\n0.51<\/td>\r\n0.44<\/td>\r\n0.38<\/td>\r\n<\/tr>\r\n
21<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.89<\/td>\r\n1.45<\/td>\r\n1.21<\/td>\r\n1.04<\/td>\r\n0.90<\/td>\r\n0.79<\/td>\r\n0.70<\/td>\r\n0.61<\/td>\r\n0.54<\/td>\r\n0.47<\/td>\r\n<\/tr>\r\n
22<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.91<\/td>\r\n1.48<\/td>\r\n1.24<\/td>\r\n1.06<\/td>\r\n0.93<\/td>\r\n0.82<\/td>\r\n0.72<\/td>\r\n0.64<\/td>\r\n0.57<\/td>\r\n<\/tr>\r\n
23<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.93<\/td>\r\n1.50<\/td>\r\n1.26<\/td>\r\n1.09<\/td>\r\n0.96<\/td>\r\n0.84<\/td>\r\n0.75<\/td>\r\n0.67<\/td>\r\n<\/tr>\r\n
24<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.95<\/td>\r\n1.52<\/td>\r\n1.28<\/td>\r\n1.11<\/td>\r\n0.98<\/td>\r\n0.87<\/td>\r\n0.78<\/td>\r\n<\/tr>\r\n
25<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.96<\/td>\r\n1.54<\/td>\r\n1.30<\/td>\r\n1.13<\/td>\r\n1.00<\/td>\r\n0.89<\/td>\r\n<\/tr>\r\n
26<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n1.98<\/td>\r\n1.56<\/td>\r\n1.32<\/td>\r\n1.16<\/td>\r\n1.02<\/td>\r\n<\/tr>\r\n
27<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n2.00<\/td>\r\n1.58<\/td>\r\n1.34<\/td>\r\n1.18<\/td>\r\n<\/tr>\r\n
28<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n2.01<\/td>\r\n1.59<\/td>\r\n1.36<\/td>\r\n<\/tr>\r\n
29<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n2.03<\/td>\r\n1.61<\/td>\r\n<\/tr>\r\n
30<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n2.04<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

<\/a>Table IV: Values of [latex]t_{\\alpha}[\/latex] of [latex]t[\/latex]-distribution<\/h2>\r\n

\"\"<\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\n[latex]\\alpha[\/latex]: Area to the Right of [latex]t_{\\alpha}[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df[\/latex]<\/td>\r\n0.40<\/td>\r\n0.30<\/td>\r\n0.20<\/td>\r\n0.15<\/td>\r\n0.10<\/td>\r\n0.05<\/td>\r\n0.025<\/td>\r\n0.010<\/td>\r\n0.0075<\/td>\r\n0.0050<\/td>\r\n0.0025<\/td>\r\n0.0005<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n0.325<\/td>\r\n0.727<\/td>\r\n1.376<\/td>\r\n1.963<\/td>\r\n3.078<\/td>\r\n6.314<\/td>\r\n12.706<\/td>\r\n31.821<\/td>\r\n42.433<\/td>\r\n63.657<\/td>\r\n127.321<\/td>\r\n636.619<\/td>\r\n<\/tr>\r\n
2<\/td>\r\n0.289<\/td>\r\n0.617<\/td>\r\n1.061<\/td>\r\n1.386<\/td>\r\n1.886<\/td>\r\n2.920<\/td>\r\n4.303<\/td>\r\n6.965<\/td>\r\n8.073<\/td>\r\n9.925<\/td>\r\n14.089<\/td>\r\n31.599<\/td>\r\n<\/tr>\r\n
3<\/td>\r\n0.277<\/td>\r\n0.584<\/td>\r\n0.978<\/td>\r\n1.250<\/td>\r\n1.638<\/td>\r\n2.353<\/td>\r\n3.182<\/td>\r\n4.541<\/td>\r\n5.047<\/td>\r\n5.841<\/td>\r\n7.453<\/td>\r\n12.924<\/td>\r\n<\/tr>\r\n
4<\/td>\r\n0.271<\/td>\r\n0.569<\/td>\r\n0.941<\/td>\r\n1.190<\/td>\r\n1.533<\/td>\r\n2.132<\/td>\r\n2.776<\/td>\r\n3.747<\/td>\r\n4.088<\/td>\r\n4.604<\/td>\r\n5.598<\/td>\r\n8.610<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n0.267<\/td>\r\n0.559<\/td>\r\n0.920<\/td>\r\n1.156<\/td>\r\n1.476<\/td>\r\n2.015<\/td>\r\n2.571<\/td>\r\n3.365<\/td>\r\n3.634<\/td>\r\n4.032<\/td>\r\n4.773<\/td>\r\n6.869<\/td>\r\n<\/tr>\r\n
6<\/td>\r\n0.265<\/td>\r\n0.553<\/td>\r\n0.906<\/td>\r\n1.134<\/td>\r\n1.440<\/td>\r\n1.943<\/td>\r\n2.447<\/td>\r\n3.143<\/td>\r\n3.372<\/td>\r\n3.707<\/td>\r\n4.317<\/td>\r\n5.959<\/td>\r\n<\/tr>\r\n
7<\/td>\r\n0.263<\/td>\r\n0.549<\/td>\r\n0.896<\/td>\r\n1.119<\/td>\r\n1.415<\/td>\r\n1.895<\/td>\r\n2.365<\/td>\r\n2.998<\/td>\r\n3.203<\/td>\r\n3.499<\/td>\r\n4.029<\/td>\r\n5.408<\/td>\r\n<\/tr>\r\n
8<\/td>\r\n0.262<\/td>\r\n0.546<\/td>\r\n0.889<\/td>\r\n1.108<\/td>\r\n1.397<\/td>\r\n1.860<\/td>\r\n2.306<\/td>\r\n2.896<\/td>\r\n3.085<\/td>\r\n3.355<\/td>\r\n3.833<\/td>\r\n5.041<\/td>\r\n<\/tr>\r\n
9<\/td>\r\n0.261<\/td>\r\n0.543<\/td>\r\n0.883<\/td>\r\n1.100<\/td>\r\n1.383<\/td>\r\n1.833<\/td>\r\n2.262<\/td>\r\n2.821<\/td>\r\n2.998<\/td>\r\n3.250<\/td>\r\n3.690<\/td>\r\n4.781<\/td>\r\n<\/tr>\r\n
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<\/th>\r\n[latex]\\alpha[\/latex]: Area to the Right of [latex]t_{\\alpha}[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
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61<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.848<\/td>\r\n1.045<\/td>\r\n1.296<\/td>\r\n1.670<\/td>\r\n2.000<\/td>\r\n2.389<\/td>\r\n2.503<\/td>\r\n2.659<\/td>\r\n2.913<\/td>\r\n3.457<\/td>\r\n<\/tr>\r\n
62<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.045<\/td>\r\n1.295<\/td>\r\n1.670<\/td>\r\n1.999<\/td>\r\n2.388<\/td>\r\n2.502<\/td>\r\n2.657<\/td>\r\n2.911<\/td>\r\n3.454<\/td>\r\n<\/tr>\r\n
63<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.045<\/td>\r\n1.295<\/td>\r\n1.669<\/td>\r\n1.998<\/td>\r\n2.387<\/td>\r\n2.501<\/td>\r\n2.656<\/td>\r\n2.909<\/td>\r\n3.452<\/td>\r\n<\/tr>\r\n
64<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.045<\/td>\r\n1.295<\/td>\r\n1.669<\/td>\r\n1.998<\/td>\r\n2.386<\/td>\r\n2.500<\/td>\r\n2.655<\/td>\r\n2.908<\/td>\r\n3.449<\/td>\r\n<\/tr>\r\n
65<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.045<\/td>\r\n1.295<\/td>\r\n1.669<\/td>\r\n1.997<\/td>\r\n2.385<\/td>\r\n2.499<\/td>\r\n2.654<\/td>\r\n2.906<\/td>\r\n3.447<\/td>\r\n<\/tr>\r\n
66<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.045<\/td>\r\n1.295<\/td>\r\n1.668<\/td>\r\n1.997<\/td>\r\n2.384<\/td>\r\n2.498<\/td>\r\n2.652<\/td>\r\n2.904<\/td>\r\n3.444<\/td>\r\n<\/tr>\r\n
67<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.045<\/td>\r\n1.294<\/td>\r\n1.668<\/td>\r\n1.996<\/td>\r\n2.383<\/td>\r\n2.497<\/td>\r\n2.651<\/td>\r\n2.903<\/td>\r\n3.442<\/td>\r\n<\/tr>\r\n
68<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.044<\/td>\r\n1.294<\/td>\r\n1.668<\/td>\r\n1.995<\/td>\r\n2.382<\/td>\r\n2.496<\/td>\r\n2.650<\/td>\r\n2.902<\/td>\r\n3.439<\/td>\r\n<\/tr>\r\n
69<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.044<\/td>\r\n1.294<\/td>\r\n1.667<\/td>\r\n1.995<\/td>\r\n2.382<\/td>\r\n2.495<\/td>\r\n2.649<\/td>\r\n2.900<\/td>\r\n3.437<\/td>\r\n<\/tr>\r\n
70<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.044<\/td>\r\n1.294<\/td>\r\n1.667<\/td>\r\n1.994<\/td>\r\n2.381<\/td>\r\n2.494<\/td>\r\n2.648<\/td>\r\n2.899<\/td>\r\n3.435<\/td>\r\n<\/tr>\r\n
71<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.044<\/td>\r\n1.294<\/td>\r\n1.667<\/td>\r\n1.994<\/td>\r\n2.380<\/td>\r\n2.493<\/td>\r\n2.647<\/td>\r\n2.897<\/td>\r\n3.433<\/td>\r\n<\/tr>\r\n
72<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.044<\/td>\r\n1.293<\/td>\r\n1.666<\/td>\r\n1.993<\/td>\r\n2.379<\/td>\r\n2.492<\/td>\r\n2.646<\/td>\r\n2.896<\/td>\r\n3.431<\/td>\r\n<\/tr>\r\n
73<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.044<\/td>\r\n1.293<\/td>\r\n1.666<\/td>\r\n1.993<\/td>\r\n2.379<\/td>\r\n2.491<\/td>\r\n2.645<\/td>\r\n2.895<\/td>\r\n3.429<\/td>\r\n<\/tr>\r\n
74<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.847<\/td>\r\n1.044<\/td>\r\n1.293<\/td>\r\n1.666<\/td>\r\n1.993<\/td>\r\n2.378<\/td>\r\n2.490<\/td>\r\n2.644<\/td>\r\n2.894<\/td>\r\n3.427<\/td>\r\n<\/tr>\r\n
75<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.846<\/td>\r\n1.044<\/td>\r\n1.293<\/td>\r\n1.665<\/td>\r\n1.992<\/td>\r\n2.377<\/td>\r\n2.490<\/td>\r\n2.643<\/td>\r\n2.892<\/td>\r\n3.425<\/td>\r\n<\/tr>\r\n
76<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.846<\/td>\r\n1.044<\/td>\r\n1.293<\/td>\r\n1.665<\/td>\r\n1.992<\/td>\r\n2.376<\/td>\r\n2.489<\/td>\r\n2.642<\/td>\r\n2.891<\/td>\r\n3.423<\/td>\r\n<\/tr>\r\n
77<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.293<\/td>\r\n1.665<\/td>\r\n1.991<\/td>\r\n2.376<\/td>\r\n2.488<\/td>\r\n2.641<\/td>\r\n2.890<\/td>\r\n3.421<\/td>\r\n<\/tr>\r\n
78<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.665<\/td>\r\n1.991<\/td>\r\n2.375<\/td>\r\n2.487<\/td>\r\n2.640<\/td>\r\n2.889<\/td>\r\n3.420<\/td>\r\n<\/tr>\r\n
79<\/td>\r\n0.254<\/td>\r\n0.527<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.664<\/td>\r\n1.990<\/td>\r\n2.374<\/td>\r\n2.487<\/td>\r\n2.640<\/td>\r\n2.888<\/td>\r\n3.418<\/td>\r\n<\/tr>\r\n
80<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.664<\/td>\r\n1.990<\/td>\r\n2.374<\/td>\r\n2.486<\/td>\r\n2.639<\/td>\r\n2.887<\/td>\r\n3.416<\/td>\r\n<\/tr>\r\n
81<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.664<\/td>\r\n1.990<\/td>\r\n2.373<\/td>\r\n2.485<\/td>\r\n2.638<\/td>\r\n2.886<\/td>\r\n3.415<\/td>\r\n<\/tr>\r\n
82<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.664<\/td>\r\n1.989<\/td>\r\n2.373<\/td>\r\n2.485<\/td>\r\n2.637<\/td>\r\n2.885<\/td>\r\n3.413<\/td>\r\n<\/tr>\r\n
83<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.663<\/td>\r\n1.989<\/td>\r\n2.372<\/td>\r\n2.484<\/td>\r\n2.636<\/td>\r\n2.884<\/td>\r\n3.412<\/td>\r\n<\/tr>\r\n
84<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.663<\/td>\r\n1.989<\/td>\r\n2.372<\/td>\r\n2.483<\/td>\r\n2.636<\/td>\r\n2.883<\/td>\r\n3.410<\/td>\r\n<\/tr>\r\n
85<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.292<\/td>\r\n1.663<\/td>\r\n1.988<\/td>\r\n2.371<\/td>\r\n2.483<\/td>\r\n2.635<\/td>\r\n2.882<\/td>\r\n3.409<\/td>\r\n<\/tr>\r\n
86<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.291<\/td>\r\n1.663<\/td>\r\n1.988<\/td>\r\n2.370<\/td>\r\n2.482<\/td>\r\n2.634<\/td>\r\n2.881<\/td>\r\n3.407<\/td>\r\n<\/tr>\r\n
87<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.291<\/td>\r\n1.663<\/td>\r\n1.988<\/td>\r\n2.370<\/td>\r\n2.482<\/td>\r\n2.634<\/td>\r\n2.880<\/td>\r\n3.406<\/td>\r\n<\/tr>\r\n
88<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.291<\/td>\r\n1.662<\/td>\r\n1.987<\/td>\r\n2.369<\/td>\r\n2.481<\/td>\r\n2.633<\/td>\r\n2.880<\/td>\r\n3.405<\/td>\r\n<\/tr>\r\n
89<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.043<\/td>\r\n1.291<\/td>\r\n1.662<\/td>\r\n1.987<\/td>\r\n2.369<\/td>\r\n2.481<\/td>\r\n2.632<\/td>\r\n2.879<\/td>\r\n3.403<\/td>\r\n<\/tr>\r\n
90<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.042<\/td>\r\n1.291<\/td>\r\n1.662<\/td>\r\n1.987<\/td>\r\n2.368<\/td>\r\n2.480<\/td>\r\n2.632<\/td>\r\n2.878<\/td>\r\n3.402<\/td>\r\n<\/tr>\r\n
91<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.042<\/td>\r\n1.291<\/td>\r\n1.662<\/td>\r\n1.986<\/td>\r\n2.368<\/td>\r\n2.479<\/td>\r\n2.631<\/td>\r\n2.877<\/td>\r\n3.401<\/td>\r\n<\/tr>\r\n
92<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.042<\/td>\r\n1.291<\/td>\r\n1.662<\/td>\r\n1.986<\/td>\r\n2.368<\/td>\r\n2.479<\/td>\r\n2.630<\/td>\r\n2.876<\/td>\r\n3.399<\/td>\r\n<\/tr>\r\n
93<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.846<\/td>\r\n1.042<\/td>\r\n1.291<\/td>\r\n1.661<\/td>\r\n1.986<\/td>\r\n2.367<\/td>\r\n2.478<\/td>\r\n2.630<\/td>\r\n2.876<\/td>\r\n3.398<\/td>\r\n<\/tr>\r\n
94<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.845<\/td>\r\n1.042<\/td>\r\n1.291<\/td>\r\n1.661<\/td>\r\n1.986<\/td>\r\n2.367<\/td>\r\n2.478<\/td>\r\n2.629<\/td>\r\n2.875<\/td>\r\n3.397<\/td>\r\n<\/tr>\r\n
95<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.845<\/td>\r\n1.042<\/td>\r\n1.291<\/td>\r\n1.661<\/td>\r\n1.985<\/td>\r\n2.366<\/td>\r\n2.477<\/td>\r\n2.629<\/td>\r\n2.874<\/td>\r\n3.396<\/td>\r\n<\/tr>\r\n
96<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.845<\/td>\r\n1.042<\/td>\r\n1.290<\/td>\r\n1.661<\/td>\r\n1.985<\/td>\r\n2.366<\/td>\r\n2.477<\/td>\r\n2.628<\/td>\r\n2.873<\/td>\r\n3.395<\/td>\r\n<\/tr>\r\n
97<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.845<\/td>\r\n1.042<\/td>\r\n1.290<\/td>\r\n1.661<\/td>\r\n1.985<\/td>\r\n2.365<\/td>\r\n2.476<\/td>\r\n2.627<\/td>\r\n2.873<\/td>\r\n3.394<\/td>\r\n<\/tr>\r\n
98<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.845<\/td>\r\n1.042<\/td>\r\n1.290<\/td>\r\n1.661<\/td>\r\n1.984<\/td>\r\n2.365<\/td>\r\n2.476<\/td>\r\n2.627<\/td>\r\n2.872<\/td>\r\n3.393<\/td>\r\n<\/tr>\r\n
99<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.845<\/td>\r\n1.042<\/td>\r\n1.290<\/td>\r\n1.660<\/td>\r\n1.984<\/td>\r\n2.365<\/td>\r\n2.476<\/td>\r\n2.626<\/td>\r\n2.871<\/td>\r\n3.392<\/td>\r\n<\/tr>\r\n
100<\/td>\r\n0.254<\/td>\r\n0.526<\/td>\r\n0.845<\/td>\r\n1.042<\/td>\r\n1.290<\/td>\r\n1.660<\/td>\r\n1.984<\/td>\r\n2.364<\/td>\r\n2.475<\/td>\r\n2.626<\/td>\r\n2.871<\/td>\r\n3.390<\/td>\r\n<\/tr>\r\n
200<\/td>\r\n0.254<\/td>\r\n0.525<\/td>\r\n0.843<\/td>\r\n1.039<\/td>\r\n1.286<\/td>\r\n1.653<\/td>\r\n1.972<\/td>\r\n2.345<\/td>\r\n2.454<\/td>\r\n2.601<\/td>\r\n2.839<\/td>\r\n3.340<\/td>\r\n<\/tr>\r\n
400<\/td>\r\n0.254<\/td>\r\n0.525<\/td>\r\n0.843<\/td>\r\n1.038<\/td>\r\n1.284<\/td>\r\n1.649<\/td>\r\n1.966<\/td>\r\n2.336<\/td>\r\n2.443<\/td>\r\n2.588<\/td>\r\n2.823<\/td>\r\n3.315<\/td>\r\n<\/tr>\r\n
1000<\/td>\r\n0.253<\/td>\r\n0.525<\/td>\r\n0.842<\/td>\r\n1.037<\/td>\r\n1.282<\/td>\r\n1.646<\/td>\r\n1.962<\/td>\r\n2.330<\/td>\r\n2.437<\/td>\r\n2.581<\/td>\r\n2.813<\/td>\r\n3.300<\/td>\r\n<\/tr>\r\n
[latex]\\infty[\/latex]<\/td>\r\n0.253<\/td>\r\n0.524<\/td>\r\n0.842<\/td>\r\n1.036<\/td>\r\n1.282<\/td>\r\n1.645<\/td>\r\n1.960<\/td>\r\n2.326<\/td>\r\n2.432<\/td>\r\n2.576<\/td>\r\n2.807<\/td>\r\n3.291<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Table V: Values of [latex]\\chi^2_{\\alpha}[\/latex] of [latex]\\chi^2[\/latex]-distribution<\/h2>\r\n

\"\"<\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\n[latex]\\alpha[\/latex]: Area to the Right of [latex]\\chi^2_{\\alpha}[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df[\/latex]<\/td>\r\n0.995<\/td>\r\n0.990<\/td>\r\n0.975<\/td>\r\n0.950<\/td>\r\n0.900<\/td>\r\n0.100<\/td>\r\n0.050<\/td>\r\n0.025<\/td>\r\n0.010<\/td>\r\n0.005<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n[latex]0.0^4393[\/latex]<\/td>\r\n[latex]0.0^3157[\/latex]<\/td>\r\n[latex]0.0^3982[\/latex]<\/td>\r\n[latex]0.0^2393[\/latex]<\/td>\r\n0.016<\/td>\r\n2.706<\/td>\r\n3.841<\/td>\r\n5.024<\/td>\r\n6.635<\/td>\r\n7.879<\/td>\r\n<\/tr>\r\n
2<\/td>\r\n0.010<\/td>\r\n0.020<\/td>\r\n0.051<\/td>\r\n0.103<\/td>\r\n0.211<\/td>\r\n4.605<\/td>\r\n5.991<\/td>\r\n7.378<\/td>\r\n9.210<\/td>\r\n10.597<\/td>\r\n<\/tr>\r\n
3<\/td>\r\n0.072<\/td>\r\n0.115<\/td>\r\n0.216<\/td>\r\n0.352<\/td>\r\n0.584<\/td>\r\n6.251<\/td>\r\n7.815<\/td>\r\n9.348<\/td>\r\n11.345<\/td>\r\n12.838<\/td>\r\n<\/tr>\r\n
4<\/td>\r\n0.207<\/td>\r\n0.297<\/td>\r\n0.484<\/td>\r\n0.711<\/td>\r\n1.064<\/td>\r\n7.779<\/td>\r\n9.488<\/td>\r\n11.143<\/td>\r\n13.277<\/td>\r\n14.860<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n0.412<\/td>\r\n0.554<\/td>\r\n0.831<\/td>\r\n1.145<\/td>\r\n1.610<\/td>\r\n9.236<\/td>\r\n11.070<\/td>\r\n12.833<\/td>\r\n15.086<\/td>\r\n16.750<\/td>\r\n<\/tr>\r\n
6<\/td>\r\n0.676<\/td>\r\n0.872<\/td>\r\n1.237<\/td>\r\n1.635<\/td>\r\n2.204<\/td>\r\n10.645<\/td>\r\n12.592<\/td>\r\n14.449<\/td>\r\n16.812<\/td>\r\n18.548<\/td>\r\n<\/tr>\r\n
7<\/td>\r\n0.989<\/td>\r\n1.239<\/td>\r\n1.690<\/td>\r\n2.167<\/td>\r\n2.833<\/td>\r\n12.017<\/td>\r\n14.067<\/td>\r\n16.013<\/td>\r\n18.475<\/td>\r\n20.278<\/td>\r\n<\/tr>\r\n
8<\/td>\r\n1.344<\/td>\r\n1.646<\/td>\r\n2.180<\/td>\r\n2.733<\/td>\r\n3.490<\/td>\r\n13.362<\/td>\r\n15.507<\/td>\r\n17.535<\/td>\r\n20.090<\/td>\r\n21.955<\/td>\r\n<\/tr>\r\n
9<\/td>\r\n1.735<\/td>\r\n2.088<\/td>\r\n2.700<\/td>\r\n3.325<\/td>\r\n4.168<\/td>\r\n14.684<\/td>\r\n16.919<\/td>\r\n19.023<\/td>\r\n21.666<\/td>\r\n23.589<\/td>\r\n<\/tr>\r\n
10<\/td>\r\n2.156<\/td>\r\n2.558<\/td>\r\n3.247<\/td>\r\n3.940<\/td>\r\n4.865<\/td>\r\n15.987<\/td>\r\n18.307<\/td>\r\n20.483<\/td>\r\n23.209<\/td>\r\n25.188<\/td>\r\n<\/tr>\r\n
11<\/td>\r\n2.603<\/td>\r\n3.053<\/td>\r\n3.816<\/td>\r\n4.575<\/td>\r\n5.578<\/td>\r\n17.275<\/td>\r\n19.675<\/td>\r\n21.920<\/td>\r\n24.725<\/td>\r\n26.757<\/td>\r\n<\/tr>\r\n
12<\/td>\r\n3.074<\/td>\r\n3.571<\/td>\r\n4.404<\/td>\r\n5.226<\/td>\r\n6.304<\/td>\r\n18.549<\/td>\r\n21.026<\/td>\r\n23.337<\/td>\r\n26.217<\/td>\r\n28.300<\/td>\r\n<\/tr>\r\n
13<\/td>\r\n3.565<\/td>\r\n4.107<\/td>\r\n5.009<\/td>\r\n5.892<\/td>\r\n7.042<\/td>\r\n19.812<\/td>\r\n22.362<\/td>\r\n24.736<\/td>\r\n27.688<\/td>\r\n29.819<\/td>\r\n<\/tr>\r\n
14<\/td>\r\n4.075<\/td>\r\n4.660<\/td>\r\n5.629<\/td>\r\n6.571<\/td>\r\n7.790<\/td>\r\n21.064<\/td>\r\n23.685<\/td>\r\n26.119<\/td>\r\n29.141<\/td>\r\n31.319<\/td>\r\n<\/tr>\r\n
15<\/td>\r\n4.601<\/td>\r\n5.229<\/td>\r\n6.262<\/td>\r\n7.261<\/td>\r\n8.547<\/td>\r\n22.307<\/td>\r\n24.996<\/td>\r\n27.488<\/td>\r\n30.578<\/td>\r\n32.801<\/td>\r\n<\/tr>\r\n
16<\/td>\r\n5.142<\/td>\r\n5.812<\/td>\r\n6.908<\/td>\r\n7.962<\/td>\r\n9.312<\/td>\r\n23.542<\/td>\r\n26.296<\/td>\r\n28.845<\/td>\r\n32.000<\/td>\r\n34.267<\/td>\r\n<\/tr>\r\n
17<\/td>\r\n5.697<\/td>\r\n6.408<\/td>\r\n7.564<\/td>\r\n8.672<\/td>\r\n10.085<\/td>\r\n24.769<\/td>\r\n27.587<\/td>\r\n30.191<\/td>\r\n33.409<\/td>\r\n35.718<\/td>\r\n<\/tr>\r\n
18<\/td>\r\n6.265<\/td>\r\n7.015<\/td>\r\n8.231<\/td>\r\n9.390<\/td>\r\n10.865<\/td>\r\n25.989<\/td>\r\n28.869<\/td>\r\n31.526<\/td>\r\n34.805<\/td>\r\n37.156<\/td>\r\n<\/tr>\r\n
19<\/td>\r\n6.844<\/td>\r\n7.633<\/td>\r\n8.907<\/td>\r\n10.117<\/td>\r\n11.651<\/td>\r\n27.204<\/td>\r\n30.144<\/td>\r\n32.852<\/td>\r\n36.191<\/td>\r\n38.582<\/td>\r\n<\/tr>\r\n
20<\/td>\r\n7.434<\/td>\r\n8.260<\/td>\r\n9.591<\/td>\r\n10.851<\/td>\r\n12.443<\/td>\r\n28.412<\/td>\r\n31.410<\/td>\r\n34.170<\/td>\r\n37.566<\/td>\r\n39.997<\/td>\r\n<\/tr>\r\n
21<\/td>\r\n8.034<\/td>\r\n8.897<\/td>\r\n10.283<\/td>\r\n11.591<\/td>\r\n13.240<\/td>\r\n29.615<\/td>\r\n32.671<\/td>\r\n35.479<\/td>\r\n38.932<\/td>\r\n41.401<\/td>\r\n<\/tr>\r\n
22<\/td>\r\n8.643<\/td>\r\n9.542<\/td>\r\n10.982<\/td>\r\n12.338<\/td>\r\n14.041<\/td>\r\n30.813<\/td>\r\n33.924<\/td>\r\n36.781<\/td>\r\n40.289<\/td>\r\n42.796<\/td>\r\n<\/tr>\r\n
23<\/td>\r\n9.260<\/td>\r\n10.196<\/td>\r\n11.689<\/td>\r\n13.091<\/td>\r\n14.848<\/td>\r\n32.007<\/td>\r\n35.172<\/td>\r\n38.076<\/td>\r\n41.638<\/td>\r\n44.181<\/td>\r\n<\/tr>\r\n
24<\/td>\r\n9.886<\/td>\r\n10.856<\/td>\r\n12.401<\/td>\r\n13.848<\/td>\r\n15.659<\/td>\r\n33.196<\/td>\r\n36.415<\/td>\r\n39.364<\/td>\r\n42.980<\/td>\r\n45.559<\/td>\r\n<\/tr>\r\n
25<\/td>\r\n10.520<\/td>\r\n11.524<\/td>\r\n13.120<\/td>\r\n14.611<\/td>\r\n16.473<\/td>\r\n34.382<\/td>\r\n37.652<\/td>\r\n40.646<\/td>\r\n44.314<\/td>\r\n46.928<\/td>\r\n<\/tr>\r\n
26<\/td>\r\n11.160<\/td>\r\n12.198<\/td>\r\n13.844<\/td>\r\n15.379<\/td>\r\n17.292<\/td>\r\n35.563<\/td>\r\n38.885<\/td>\r\n41.923<\/td>\r\n45.642<\/td>\r\n48.290<\/td>\r\n<\/tr>\r\n
27<\/td>\r\n11.808<\/td>\r\n12.879<\/td>\r\n14.573<\/td>\r\n16.151<\/td>\r\n18.114<\/td>\r\n36.741<\/td>\r\n40.113<\/td>\r\n43.195<\/td>\r\n46.963<\/td>\r\n49.645<\/td>\r\n<\/tr>\r\n
28<\/td>\r\n12.461<\/td>\r\n13.565<\/td>\r\n15.308<\/td>\r\n16.928<\/td>\r\n18.939<\/td>\r\n37.916<\/td>\r\n41.337<\/td>\r\n44.461<\/td>\r\n48.278<\/td>\r\n50.993<\/td>\r\n<\/tr>\r\n
29<\/td>\r\n13.121<\/td>\r\n14.256<\/td>\r\n16.047<\/td>\r\n17.708<\/td>\r\n19.768<\/td>\r\n39.087<\/td>\r\n42.557<\/td>\r\n45.722<\/td>\r\n49.588<\/td>\r\n52.336<\/td>\r\n<\/tr>\r\n
30<\/td>\r\n13.787<\/td>\r\n14.953<\/td>\r\n16.791<\/td>\r\n18.493<\/td>\r\n20.599<\/td>\r\n40.256<\/td>\r\n43.773<\/td>\r\n46.979<\/td>\r\n50.892<\/td>\r\n53.672<\/td>\r\n<\/tr>\r\n
40<\/td>\r\n20.707<\/td>\r\n22.164<\/td>\r\n24.433<\/td>\r\n26.509<\/td>\r\n29.051<\/td>\r\n51.805<\/td>\r\n55.758<\/td>\r\n59.342<\/td>\r\n63.691<\/td>\r\n66.766<\/td>\r\n<\/tr>\r\n
50<\/td>\r\n27.991<\/td>\r\n29.707<\/td>\r\n32.357<\/td>\r\n34.764<\/td>\r\n37.689<\/td>\r\n63.167<\/td>\r\n67.505<\/td>\r\n71.420<\/td>\r\n76.154<\/td>\r\n79.490<\/td>\r\n<\/tr>\r\n
60<\/td>\r\n35.534<\/td>\r\n37.485<\/td>\r\n40.482<\/td>\r\n43.188<\/td>\r\n46.459<\/td>\r\n74.397<\/td>\r\n79.082<\/td>\r\n83.298<\/td>\r\n88.379<\/td>\r\n91.952<\/td>\r\n<\/tr>\r\n
70<\/td>\r\n43.275<\/td>\r\n45.442<\/td>\r\n48.758<\/td>\r\n51.739<\/td>\r\n55.329<\/td>\r\n85.527<\/td>\r\n90.531<\/td>\r\n95.023<\/td>\r\n100.425<\/td>\r\n104.215<\/td>\r\n<\/tr>\r\n
80<\/td>\r\n51.172<\/td>\r\n53.540<\/td>\r\n57.153<\/td>\r\n60.391<\/td>\r\n64.278<\/td>\r\n96.578<\/td>\r\n101.879<\/td>\r\n106.629<\/td>\r\n112.329<\/td>\r\n116.321<\/td>\r\n<\/tr>\r\n
90<\/td>\r\n59.196<\/td>\r\n61.754<\/td>\r\n65.647<\/td>\r\n69.126<\/td>\r\n73.291<\/td>\r\n107.565<\/td>\r\n113.145<\/td>\r\n118.136<\/td>\r\n124.116<\/td>\r\n128.299<\/td>\r\n<\/tr>\r\n
100<\/td>\r\n67.328<\/td>\r\n70.065<\/td>\r\n74.222<\/td>\r\n77.929<\/td>\r\n82.358<\/td>\r\n118.498<\/td>\r\n124.342<\/td>\r\n129.561<\/td>\r\n135.807<\/td>\r\n140.169<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Table VI: Values of [latex]F_{\\alpha}[\/latex] of [latex]F[\/latex]-distribution<\/h2>\r\n

\"\"<\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\n\r\n
[latex]df_n[\/latex]<\/div><\/th>\r\n<\/tr>\r\n
[latex]\\alpha[\/latex]<\/th>\r\n1<\/th>\r\n2<\/th>\r\n3<\/th>\r\n4<\/th>\r\n5<\/th>\r\n6<\/th>\r\n7<\/th>\r\n8<\/th>\r\n9<\/th>\r\n10<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df_d=1[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.000<\/td>\r\n1.500<\/td>\r\n1.709<\/td>\r\n1.823<\/td>\r\n1.894<\/td>\r\n1.942<\/td>\r\n1.977<\/td>\r\n2.004<\/td>\r\n2.025<\/td>\r\n2.042<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n39.9<\/td>\r\n49.5<\/td>\r\n53.6<\/td>\r\n55.8<\/td>\r\n57.2<\/td>\r\n58.2<\/td>\r\n58.9<\/td>\r\n59.4<\/td>\r\n59.9<\/td>\r\n60.2<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n161<\/td>\r\n199<\/td>\r\n216<\/td>\r\n225<\/td>\r\n230<\/td>\r\n234<\/td>\r\n237<\/td>\r\n239<\/td>\r\n241<\/td>\r\n242<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n648<\/td>\r\n799<\/td>\r\n864<\/td>\r\n900<\/td>\r\n922<\/td>\r\n937<\/td>\r\n948<\/td>\r\n957<\/td>\r\n963<\/td>\r\n969<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n4052<\/td>\r\n4999<\/td>\r\n5403<\/td>\r\n5625<\/td>\r\n5764<\/td>\r\n5859<\/td>\r\n5928<\/td>\r\n5981<\/td>\r\n6022<\/td>\r\n6056<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n16211<\/td>\r\n19999<\/td>\r\n21615<\/td>\r\n22500<\/td>\r\n23056<\/td>\r\n23437<\/td>\r\n23715<\/td>\r\n23925<\/td>\r\n24091<\/td>\r\n24224<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n405284<\/td>\r\n499999<\/td>\r\n540379<\/td>\r\n562500<\/td>\r\n576405<\/td>\r\n585937<\/td>\r\n592873<\/td>\r\n598144<\/td>\r\n602284<\/td>\r\n605621<\/td>\r\n<\/tr>\r\n
[latex]df_d=2[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.667<\/td>\r\n1.000<\/td>\r\n1.135<\/td>\r\n1.207<\/td>\r\n1.252<\/td>\r\n1.282<\/td>\r\n1.305<\/td>\r\n1.321<\/td>\r\n1.334<\/td>\r\n1.345<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n8.526<\/td>\r\n9.000<\/td>\r\n9.162<\/td>\r\n9.243<\/td>\r\n9.293<\/td>\r\n9.326<\/td>\r\n9.349<\/td>\r\n9.367<\/td>\r\n9.381<\/td>\r\n9.392<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n18.51<\/td>\r\n19.00<\/td>\r\n19.16<\/td>\r\n19.25<\/td>\r\n19.30<\/td>\r\n19.33<\/td>\r\n19.35<\/td>\r\n19.37<\/td>\r\n19.38<\/td>\r\n19.40<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n38.51<\/td>\r\n39.00<\/td>\r\n39.17<\/td>\r\n39.25<\/td>\r\n39.30<\/td>\r\n39.33<\/td>\r\n39.36<\/td>\r\n39.37<\/td>\r\n39.39<\/td>\r\n39.40<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n98.50<\/td>\r\n99.00<\/td>\r\n99.17<\/td>\r\n99.25<\/td>\r\n99.30<\/td>\r\n99.33<\/td>\r\n99.36<\/td>\r\n99.37<\/td>\r\n99.39<\/td>\r\n99.40<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n198.50<\/td>\r\n199.00<\/td>\r\n199.17<\/td>\r\n199.25<\/td>\r\n199.30<\/td>\r\n199.33<\/td>\r\n199.36<\/td>\r\n199.37<\/td>\r\n199.39<\/td>\r\n199.40<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n998.50<\/td>\r\n999.00<\/td>\r\n999.17<\/td>\r\n999.25<\/td>\r\n999.30<\/td>\r\n999.33<\/td>\r\n999.36<\/td>\r\n999.37<\/td>\r\n999.39<\/td>\r\n999.40<\/td>\r\n<\/tr>\r\n
[latex]df_d=3[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.585<\/td>\r\n0.881<\/td>\r\n1.000<\/td>\r\n1.063<\/td>\r\n1.102<\/td>\r\n1.129<\/td>\r\n1.148<\/td>\r\n1.163<\/td>\r\n1.174<\/td>\r\n1.183<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n5.538<\/td>\r\n5.462<\/td>\r\n5.391<\/td>\r\n5.343<\/td>\r\n5.309<\/td>\r\n5.285<\/td>\r\n5.266<\/td>\r\n5.252<\/td>\r\n5.240<\/td>\r\n5.230<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n10.128<\/td>\r\n9.552<\/td>\r\n9.277<\/td>\r\n9.117<\/td>\r\n9.013<\/td>\r\n8.941<\/td>\r\n8.887<\/td>\r\n8.845<\/td>\r\n8.812<\/td>\r\n8.786<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n17.44<\/td>\r\n16.04<\/td>\r\n15.44<\/td>\r\n15.10<\/td>\r\n14.88<\/td>\r\n14.73<\/td>\r\n14.62<\/td>\r\n14.54<\/td>\r\n14.47<\/td>\r\n14.42<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n34.12<\/td>\r\n30.82<\/td>\r\n29.46<\/td>\r\n28.71<\/td>\r\n28.24<\/td>\r\n27.91<\/td>\r\n27.67<\/td>\r\n27.49<\/td>\r\n27.35<\/td>\r\n27.23<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n55.6<\/td>\r\n49.8<\/td>\r\n47.5<\/td>\r\n46.2<\/td>\r\n45.4<\/td>\r\n44.8<\/td>\r\n44.4<\/td>\r\n44.1<\/td>\r\n43.9<\/td>\r\n43.7<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n167.0<\/td>\r\n148.5<\/td>\r\n141.1<\/td>\r\n137.1<\/td>\r\n134.6<\/td>\r\n132.8<\/td>\r\n131.6<\/td>\r\n130.6<\/td>\r\n129.9<\/td>\r\n129.2<\/td>\r\n<\/tr>\r\n
[latex]df_d=4[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.549<\/td>\r\n0.828<\/td>\r\n0.941<\/td>\r\n1.000<\/td>\r\n1.037<\/td>\r\n1.062<\/td>\r\n1.080<\/td>\r\n1.093<\/td>\r\n1.104<\/td>\r\n1.113<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n4.54<\/td>\r\n4.32<\/td>\r\n4.19<\/td>\r\n4.11<\/td>\r\n4.05<\/td>\r\n4.01<\/td>\r\n3.98<\/td>\r\n3.95<\/td>\r\n3.94<\/td>\r\n3.92<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n7.71<\/td>\r\n6.94<\/td>\r\n6.59<\/td>\r\n6.39<\/td>\r\n6.26<\/td>\r\n6.16<\/td>\r\n6.09<\/td>\r\n6.04<\/td>\r\n6.00<\/td>\r\n5.96<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n12.22<\/td>\r\n10.65<\/td>\r\n9.98<\/td>\r\n9.60<\/td>\r\n9.36<\/td>\r\n9.20<\/td>\r\n9.07<\/td>\r\n8.98<\/td>\r\n8.90<\/td>\r\n8.84<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n21.2<\/td>\r\n18.0<\/td>\r\n16.7<\/td>\r\n16.0<\/td>\r\n15.5<\/td>\r\n15.2<\/td>\r\n15.0<\/td>\r\n14.8<\/td>\r\n14.7<\/td>\r\n14.5<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n31.3<\/td>\r\n26.3<\/td>\r\n24.3<\/td>\r\n23.2<\/td>\r\n22.5<\/td>\r\n22.0<\/td>\r\n21.6<\/td>\r\n21.4<\/td>\r\n21.1<\/td>\r\n21.0<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n74.1<\/td>\r\n61.2<\/td>\r\n56.2<\/td>\r\n53.4<\/td>\r\n51.7<\/td>\r\n50.5<\/td>\r\n49.7<\/td>\r\n49.0<\/td>\r\n48.5<\/td>\r\n48.1<\/td>\r\n<\/tr>\r\n
[latex]df_d=5[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.528<\/td>\r\n0.799<\/td>\r\n0.907<\/td>\r\n0.965<\/td>\r\n1.000<\/td>\r\n1.024<\/td>\r\n1.041<\/td>\r\n1.055<\/td>\r\n1.065<\/td>\r\n1.073<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n4.06<\/td>\r\n3.78<\/td>\r\n3.62<\/td>\r\n3.52<\/td>\r\n3.45<\/td>\r\n3.40<\/td>\r\n3.37<\/td>\r\n3.34<\/td>\r\n3.32<\/td>\r\n3.30<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n6.61<\/td>\r\n5.79<\/td>\r\n5.41<\/td>\r\n5.19<\/td>\r\n5.05<\/td>\r\n4.95<\/td>\r\n4.88<\/td>\r\n4.82<\/td>\r\n4.77<\/td>\r\n4.74<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n10.01<\/td>\r\n8.43<\/td>\r\n7.76<\/td>\r\n7.39<\/td>\r\n7.15<\/td>\r\n6.98<\/td>\r\n6.85<\/td>\r\n6.76<\/td>\r\n6.68<\/td>\r\n6.62<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n16.3<\/td>\r\n13.3<\/td>\r\n12.1<\/td>\r\n11.4<\/td>\r\n11.0<\/td>\r\n10.7<\/td>\r\n10.5<\/td>\r\n10.3<\/td>\r\n10.2<\/td>\r\n10.1<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n22.8<\/td>\r\n18.3<\/td>\r\n16.5<\/td>\r\n15.6<\/td>\r\n14.9<\/td>\r\n14.5<\/td>\r\n14.2<\/td>\r\n14.0<\/td>\r\n13.8<\/td>\r\n13.6<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n47.2<\/td>\r\n37.1<\/td>\r\n33.2<\/td>\r\n31.1<\/td>\r\n29.8<\/td>\r\n28.8<\/td>\r\n28.2<\/td>\r\n27.6<\/td>\r\n27.2<\/td>\r\n26.9<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\n\r\n
[latex]df_n[\/latex]<\/div><\/th>\r\n<\/tr>\r\n
[latex]\\alpha[\/latex]<\/th>\r\n11<\/th>\r\n12<\/th>\r\n13<\/th>\r\n14<\/th>\r\n15<\/th>\r\n20<\/th>\r\n30<\/th>\r\n60<\/th>\r\n120<\/th>\r\n[latex]\\infty[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df_d=1[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n2.06<\/td>\r\n2.07<\/td>\r\n2.08<\/td>\r\n2.09<\/td>\r\n2.09<\/td>\r\n2.12<\/td>\r\n2.15<\/td>\r\n2.17<\/td>\r\n2.18<\/td>\r\n2.20<\/td>\r\n<\/tr>\r\n
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0.025<\/td>\r\n973<\/td>\r\n977<\/td>\r\n980<\/td>\r\n983<\/td>\r\n985<\/td>\r\n993<\/td>\r\n1001<\/td>\r\n1010<\/td>\r\n1014<\/td>\r\n1018<\/td>\r\n<\/tr>\r\n
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0.005<\/td>\r\n24334<\/td>\r\n24426<\/td>\r\n24505<\/td>\r\n24572<\/td>\r\n24630<\/td>\r\n24836<\/td>\r\n25044<\/td>\r\n25253<\/td>\r\n25359<\/td>\r\n25464<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n608368<\/td>\r\n610668<\/td>\r\n612622<\/td>\r\n614303<\/td>\r\n615764<\/td>\r\n620908<\/td>\r\n626099<\/td>\r\n631337<\/td>\r\n633972<\/td>\r\n636619<\/td>\r\n<\/tr>\r\n
[latex]df_d=2[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.354<\/td>\r\n1.361<\/td>\r\n1.367<\/td>\r\n1.372<\/td>\r\n1.377<\/td>\r\n1.393<\/td>\r\n1.410<\/td>\r\n1.426<\/td>\r\n1.434<\/td>\r\n1.443<\/td>\r\n<\/tr>\r\n
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0.025<\/td>\r\n39.41<\/td>\r\n39.41<\/td>\r\n39.42<\/td>\r\n39.43<\/td>\r\n39.43<\/td>\r\n39.45<\/td>\r\n39.46<\/td>\r\n39.48<\/td>\r\n39.49<\/td>\r\n39.50<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n99.41<\/td>\r\n99.42<\/td>\r\n99.42<\/td>\r\n99.43<\/td>\r\n99.43<\/td>\r\n99.45<\/td>\r\n99.47<\/td>\r\n99.48<\/td>\r\n99.49<\/td>\r\n99.50<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n199.41<\/td>\r\n199.42<\/td>\r\n199.42<\/td>\r\n199.43<\/td>\r\n199.43<\/td>\r\n199.45<\/td>\r\n199.47<\/td>\r\n199.48<\/td>\r\n199.49<\/td>\r\n199.50<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n999.41<\/td>\r\n999.42<\/td>\r\n999.42<\/td>\r\n999.43<\/td>\r\n999.43<\/td>\r\n999.45<\/td>\r\n999.47<\/td>\r\n999.48<\/td>\r\n999.49<\/td>\r\n999.50<\/td>\r\n<\/tr>\r\n
[latex]df_d=3[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.191<\/td>\r\n1.197<\/td>\r\n1.203<\/td>\r\n1.207<\/td>\r\n1.211<\/td>\r\n1.225<\/td>\r\n1.239<\/td>\r\n1.254<\/td>\r\n1.261<\/td>\r\n1.268<\/td>\r\n<\/tr>\r\n
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0.005<\/td>\r\n43.5<\/td>\r\n43.4<\/td>\r\n43.3<\/td>\r\n43.2<\/td>\r\n43.1<\/td>\r\n42.8<\/td>\r\n42.5<\/td>\r\n42.1<\/td>\r\n42.0<\/td>\r\n41.8<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n128.7<\/td>\r\n128.3<\/td>\r\n128.0<\/td>\r\n127.6<\/td>\r\n127.4<\/td>\r\n126.4<\/td>\r\n125.4<\/td>\r\n124.5<\/td>\r\n124.0<\/td>\r\n123.5<\/td>\r\n<\/tr>\r\n
[latex]df_d=4[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.120<\/td>\r\n1.126<\/td>\r\n1.131<\/td>\r\n1.135<\/td>\r\n1.139<\/td>\r\n1.152<\/td>\r\n1.165<\/td>\r\n1.178<\/td>\r\n1.185<\/td>\r\n1.192<\/td>\r\n<\/tr>\r\n
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0.025<\/td>\r\n8.79<\/td>\r\n8.75<\/td>\r\n8.71<\/td>\r\n8.68<\/td>\r\n8.66<\/td>\r\n8.56<\/td>\r\n8.46<\/td>\r\n8.36<\/td>\r\n8.31<\/td>\r\n8.26<\/td>\r\n<\/tr>\r\n
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[latex]df_d=5[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.080<\/td>\r\n1.085<\/td>\r\n1.090<\/td>\r\n1.094<\/td>\r\n1.098<\/td>\r\n1.111<\/td>\r\n1.123<\/td>\r\n1.136<\/td>\r\n1.143<\/td>\r\n1.149<\/td>\r\n<\/tr>\r\n
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<\/th>\r\n\r\n
[latex]df_n[\/latex]<\/div><\/th>\r\n<\/tr>\r\n
[latex]\\alpha[\/latex]<\/th>\r\n1<\/th>\r\n2<\/th>\r\n3<\/th>\r\n4<\/th>\r\n5<\/th>\r\n6<\/th>\r\n7<\/th>\r\n8<\/th>\r\n9<\/th>\r\n10<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df_d=6[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.515<\/td>\r\n0.780<\/td>\r\n0.886<\/td>\r\n0.942<\/td>\r\n0.977<\/td>\r\n1.000<\/td>\r\n1.017<\/td>\r\n1.030<\/td>\r\n1.040<\/td>\r\n1.048<\/td>\r\n<\/tr>\r\n
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0.025<\/td>\r\n8.813<\/td>\r\n7.260<\/td>\r\n6.599<\/td>\r\n6.227<\/td>\r\n5.988<\/td>\r\n5.820<\/td>\r\n5.695<\/td>\r\n5.600<\/td>\r\n5.523<\/td>\r\n5.461<\/td>\r\n<\/tr>\r\n
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[latex]df_d=7[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
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[latex]df_d=8[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
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[latex]df_d=9[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
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[latex]df_d=10[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.490<\/td>\r\n0.743<\/td>\r\n0.845<\/td>\r\n0.899<\/td>\r\n0.932<\/td>\r\n0.954<\/td>\r\n0.971<\/td>\r\n0.983<\/td>\r\n0.992<\/td>\r\n1.000<\/td>\r\n<\/tr>\r\n
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<\/th>\r\n\r\n
[latex]df_n[\/latex]<\/div><\/th>\r\n<\/tr>\r\n
[latex]\\alpha[\/latex]<\/th>\r\n11<\/th>\r\n12<\/th>\r\n13<\/th>\r\n14<\/th>\r\n15<\/th>\r\n20<\/th>\r\n30<\/th>\r\n60<\/th>\r\n120<\/th>\r\n[latex]\\infty[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df_d=6[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.054<\/td>\r\n1.060<\/td>\r\n1.065<\/td>\r\n1.069<\/td>\r\n1.072<\/td>\r\n1.084<\/td>\r\n1.097<\/td>\r\n1.109<\/td>\r\n1.116<\/td>\r\n1.122<\/td>\r\n<\/tr>\r\n
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0.025<\/td>\r\n5.410<\/td>\r\n5.366<\/td>\r\n5.329<\/td>\r\n5.297<\/td>\r\n5.269<\/td>\r\n5.168<\/td>\r\n5.065<\/td>\r\n4.959<\/td>\r\n4.904<\/td>\r\n4.849<\/td>\r\n<\/tr>\r\n
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[latex]df_d=7[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
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[latex]df_d=8[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
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[latex]df_d=9[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.014<\/td>\r\n1.019<\/td>\r\n1.024<\/td>\r\n1.028<\/td>\r\n1.031<\/td>\r\n1.043<\/td>\r\n1.055<\/td>\r\n1.067<\/td>\r\n1.073<\/td>\r\n1.079<\/td>\r\n<\/tr>\r\n
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[latex]df_d=10[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.006<\/td>\r\n1.012<\/td>\r\n1.016<\/td>\r\n1.020<\/td>\r\n1.023<\/td>\r\n1.035<\/td>\r\n1.047<\/td>\r\n1.059<\/td>\r\n1.064<\/td>\r\n1.070<\/td>\r\n<\/tr>\r\n
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<\/th>\r\n\r\n
[latex]df_n[\/latex]<\/div><\/th>\r\n<\/tr>\r\n
[latex]\\alpha[\/latex]<\/th>\r\n1<\/th>\r\n2<\/th>\r\n3<\/th>\r\n4<\/th>\r\n5<\/th>\r\n6<\/th>\r\n7<\/th>\r\n8<\/th>\r\n9<\/th>\r\n10<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df_d=11[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
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[latex]df_d=12[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
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0.001<\/td>\r\n18.643<\/td>\r\n12.974<\/td>\r\n10.804<\/td>\r\n9.633<\/td>\r\n8.892<\/td>\r\n8.379<\/td>\r\n8.001<\/td>\r\n7.710<\/td>\r\n7.480<\/td>\r\n7.292<\/td>\r\n<\/tr>\r\n
[latex]df_d=13[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.481<\/td>\r\n0.731<\/td>\r\n0.832<\/td>\r\n0.885<\/td>\r\n0.917<\/td>\r\n0.939<\/td>\r\n0.955<\/td>\r\n0.967<\/td>\r\n0.977<\/td>\r\n0.984<\/td>\r\n<\/tr>\r\n
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0.05<\/td>\r\n4.667<\/td>\r\n3.806<\/td>\r\n3.411<\/td>\r\n3.179<\/td>\r\n3.025<\/td>\r\n2.915<\/td>\r\n2.832<\/td>\r\n2.767<\/td>\r\n2.714<\/td>\r\n2.671<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n6.414<\/td>\r\n4.965<\/td>\r\n4.347<\/td>\r\n3.996<\/td>\r\n3.767<\/td>\r\n3.604<\/td>\r\n3.483<\/td>\r\n3.388<\/td>\r\n3.312<\/td>\r\n3.250<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n9.074<\/td>\r\n6.701<\/td>\r\n5.739<\/td>\r\n5.205<\/td>\r\n4.862<\/td>\r\n4.620<\/td>\r\n4.441<\/td>\r\n4.302<\/td>\r\n4.191<\/td>\r\n4.100<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n11.374<\/td>\r\n8.186<\/td>\r\n6.926<\/td>\r\n6.233<\/td>\r\n5.791<\/td>\r\n5.482<\/td>\r\n5.253<\/td>\r\n5.076<\/td>\r\n4.935<\/td>\r\n4.820<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n17.815<\/td>\r\n12.313<\/td>\r\n10.209<\/td>\r\n9.073<\/td>\r\n8.354<\/td>\r\n7.856<\/td>\r\n7.489<\/td>\r\n7.206<\/td>\r\n6.982<\/td>\r\n6.799<\/td>\r\n<\/tr>\r\n
[latex]df_d=14[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.479<\/td>\r\n0.729<\/td>\r\n0.828<\/td>\r\n0.881<\/td>\r\n0.914<\/td>\r\n0.936<\/td>\r\n0.952<\/td>\r\n0.964<\/td>\r\n0.973<\/td>\r\n0.981<\/td>\r\n<\/tr>\r\n
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0.05<\/td>\r\n4.600<\/td>\r\n3.739<\/td>\r\n3.344<\/td>\r\n3.112<\/td>\r\n2.958<\/td>\r\n2.848<\/td>\r\n2.764<\/td>\r\n2.699<\/td>\r\n2.646<\/td>\r\n2.602<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n6.298<\/td>\r\n4.857<\/td>\r\n4.242<\/td>\r\n3.892<\/td>\r\n3.663<\/td>\r\n3.501<\/td>\r\n3.380<\/td>\r\n3.285<\/td>\r\n3.209<\/td>\r\n3.147<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n8.862<\/td>\r\n6.515<\/td>\r\n5.564<\/td>\r\n5.035<\/td>\r\n4.695<\/td>\r\n4.456<\/td>\r\n4.278<\/td>\r\n4.140<\/td>\r\n4.030<\/td>\r\n3.939<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n11.060<\/td>\r\n7.922<\/td>\r\n6.680<\/td>\r\n5.998<\/td>\r\n5.562<\/td>\r\n5.257<\/td>\r\n5.031<\/td>\r\n4.857<\/td>\r\n4.717<\/td>\r\n4.603<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n17.143<\/td>\r\n11.779<\/td>\r\n9.729<\/td>\r\n8.622<\/td>\r\n7.922<\/td>\r\n7.436<\/td>\r\n7.077<\/td>\r\n6.802<\/td>\r\n6.583<\/td>\r\n6.404<\/td>\r\n<\/tr>\r\n
[latex]df_d=15[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.478<\/td>\r\n0.726<\/td>\r\n0.826<\/td>\r\n0.878<\/td>\r\n0.911<\/td>\r\n0.933<\/td>\r\n0.949<\/td>\r\n0.960<\/td>\r\n0.970<\/td>\r\n0.977<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n3.073<\/td>\r\n2.695<\/td>\r\n2.490<\/td>\r\n2.361<\/td>\r\n2.273<\/td>\r\n2.208<\/td>\r\n2.158<\/td>\r\n2.119<\/td>\r\n2.086<\/td>\r\n2.059<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n4.543<\/td>\r\n3.682<\/td>\r\n3.287<\/td>\r\n3.056<\/td>\r\n2.901<\/td>\r\n2.790<\/td>\r\n2.707<\/td>\r\n2.641<\/td>\r\n2.588<\/td>\r\n2.544<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n6.200<\/td>\r\n4.765<\/td>\r\n4.153<\/td>\r\n3.804<\/td>\r\n3.576<\/td>\r\n3.415<\/td>\r\n3.293<\/td>\r\n3.199<\/td>\r\n3.123<\/td>\r\n3.060<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n8.683<\/td>\r\n6.359<\/td>\r\n5.417<\/td>\r\n4.893<\/td>\r\n4.556<\/td>\r\n4.318<\/td>\r\n4.142<\/td>\r\n4.004<\/td>\r\n3.895<\/td>\r\n3.805<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n10.798<\/td>\r\n7.701<\/td>\r\n6.476<\/td>\r\n5.803<\/td>\r\n5.372<\/td>\r\n5.071<\/td>\r\n4.847<\/td>\r\n4.674<\/td>\r\n4.536<\/td>\r\n4.424<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n16.587<\/td>\r\n11.339<\/td>\r\n9.335<\/td>\r\n8.253<\/td>\r\n7.567<\/td>\r\n7.092<\/td>\r\n6.741<\/td>\r\n6.471<\/td>\r\n6.256<\/td>\r\n6.081<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\n\r\n
[latex]df_n[\/latex]<\/div><\/th>\r\n<\/tr>\r\n
[latex]\\alpha[\/latex]<\/th>\r\n11<\/th>\r\n12<\/th>\r\n13<\/th>\r\n14<\/th>\r\n15<\/th>\r\n20<\/th>\r\n30<\/th>\r\n60<\/th>\r\n120<\/th>\r\n[latex]\\infty[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df_d=11[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n1.000<\/td>\r\n1.005<\/td>\r\n1.010<\/td>\r\n1.013<\/td>\r\n1.017<\/td>\r\n1.028<\/td>\r\n1.040<\/td>\r\n1.052<\/td>\r\n1.058<\/td>\r\n1.064<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.227<\/td>\r\n2.209<\/td>\r\n2.193<\/td>\r\n2.179<\/td>\r\n2.167<\/td>\r\n2.123<\/td>\r\n2.076<\/td>\r\n2.026<\/td>\r\n2.000<\/td>\r\n1.972<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n2.818<\/td>\r\n2.788<\/td>\r\n2.761<\/td>\r\n2.739<\/td>\r\n2.719<\/td>\r\n2.646<\/td>\r\n2.570<\/td>\r\n2.490<\/td>\r\n2.448<\/td>\r\n2.404<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n3.474<\/td>\r\n3.430<\/td>\r\n3.392<\/td>\r\n3.359<\/td>\r\n3.330<\/td>\r\n3.226<\/td>\r\n3.118<\/td>\r\n3.004<\/td>\r\n2.944<\/td>\r\n2.883<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n4.462<\/td>\r\n4.397<\/td>\r\n4.342<\/td>\r\n4.293<\/td>\r\n4.251<\/td>\r\n4.099<\/td>\r\n3.941<\/td>\r\n3.776<\/td>\r\n3.690<\/td>\r\n3.602<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n5.320<\/td>\r\n5.236<\/td>\r\n5.165<\/td>\r\n5.103<\/td>\r\n5.049<\/td>\r\n4.855<\/td>\r\n4.654<\/td>\r\n4.445<\/td>\r\n4.337<\/td>\r\n4.226<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n7.761<\/td>\r\n7.626<\/td>\r\n7.509<\/td>\r\n7.409<\/td>\r\n7.321<\/td>\r\n7.008<\/td>\r\n6.684<\/td>\r\n6.348<\/td>\r\n6.175<\/td>\r\n5.998<\/td>\r\n<\/tr>\r\n
[latex]df_d=12[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.995<\/td>\r\n1.000<\/td>\r\n1.004<\/td>\r\n1.008<\/td>\r\n1.012<\/td>\r\n1.023<\/td>\r\n1.035<\/td>\r\n1.046<\/td>\r\n1.052<\/td>\r\n1.058<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.166<\/td>\r\n2.147<\/td>\r\n2.131<\/td>\r\n2.117<\/td>\r\n2.105<\/td>\r\n2.060<\/td>\r\n2.011<\/td>\r\n1.960<\/td>\r\n1.932<\/td>\r\n1.904<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n2.717<\/td>\r\n2.687<\/td>\r\n2.660<\/td>\r\n2.637<\/td>\r\n2.617<\/td>\r\n2.544<\/td>\r\n2.466<\/td>\r\n2.384<\/td>\r\n2.341<\/td>\r\n2.296<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n3.321<\/td>\r\n3.277<\/td>\r\n3.239<\/td>\r\n3.206<\/td>\r\n3.177<\/td>\r\n3.073<\/td>\r\n2.963<\/td>\r\n2.848<\/td>\r\n2.787<\/td>\r\n2.725<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n4.220<\/td>\r\n4.155<\/td>\r\n4.100<\/td>\r\n4.052<\/td>\r\n4.010<\/td>\r\n3.858<\/td>\r\n3.701<\/td>\r\n3.535<\/td>\r\n3.449<\/td>\r\n3.361<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n4.988<\/td>\r\n4.906<\/td>\r\n4.836<\/td>\r\n4.775<\/td>\r\n4.721<\/td>\r\n4.530<\/td>\r\n4.331<\/td>\r\n4.123<\/td>\r\n4.015<\/td>\r\n3.904<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n7.136<\/td>\r\n7.005<\/td>\r\n6.892<\/td>\r\n6.794<\/td>\r\n6.709<\/td>\r\n6.405<\/td>\r\n6.090<\/td>\r\n5.762<\/td>\r\n5.593<\/td>\r\n5.420<\/td>\r\n<\/tr>\r\n
[latex]df_d=13[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.990<\/td>\r\n0.996<\/td>\r\n1.000<\/td>\r\n1.004<\/td>\r\n1.007<\/td>\r\n1.019<\/td>\r\n1.030<\/td>\r\n1.042<\/td>\r\n1.048<\/td>\r\n1.054<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.116<\/td>\r\n2.097<\/td>\r\n2.080<\/td>\r\n2.066<\/td>\r\n2.053<\/td>\r\n2.007<\/td>\r\n1.958<\/td>\r\n1.904<\/td>\r\n1.876<\/td>\r\n1.846<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n2.635<\/td>\r\n2.604<\/td>\r\n2.577<\/td>\r\n2.554<\/td>\r\n2.533<\/td>\r\n2.459<\/td>\r\n2.380<\/td>\r\n2.297<\/td>\r\n2.252<\/td>\r\n2.206<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n3.197<\/td>\r\n3.153<\/td>\r\n3.115<\/td>\r\n3.082<\/td>\r\n3.053<\/td>\r\n2.948<\/td>\r\n2.837<\/td>\r\n2.720<\/td>\r\n2.659<\/td>\r\n2.595<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n4.025<\/td>\r\n3.960<\/td>\r\n3.905<\/td>\r\n3.857<\/td>\r\n3.815<\/td>\r\n3.665<\/td>\r\n3.507<\/td>\r\n3.341<\/td>\r\n3.255<\/td>\r\n3.165<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n4.724<\/td>\r\n4.643<\/td>\r\n4.573<\/td>\r\n4.513<\/td>\r\n4.460<\/td>\r\n4.270<\/td>\r\n4.073<\/td>\r\n3.866<\/td>\r\n3.758<\/td>\r\n3.647<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n6.647<\/td>\r\n6.519<\/td>\r\n6.409<\/td>\r\n6.314<\/td>\r\n6.231<\/td>\r\n5.934<\/td>\r\n5.626<\/td>\r\n5.305<\/td>\r\n5.138<\/td>\r\n4.967<\/td>\r\n<\/tr>\r\n
[latex]df_d=14[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.987<\/td>\r\n0.992<\/td>\r\n0.996<\/td>\r\n1.000<\/td>\r\n1.003<\/td>\r\n1.015<\/td>\r\n1.026<\/td>\r\n1.038<\/td>\r\n1.044<\/td>\r\n1.050<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.073<\/td>\r\n2.054<\/td>\r\n2.037<\/td>\r\n2.022<\/td>\r\n2.010<\/td>\r\n1.962<\/td>\r\n1.912<\/td>\r\n1.857<\/td>\r\n1.828<\/td>\r\n1.797<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n2.565<\/td>\r\n2.534<\/td>\r\n2.507<\/td>\r\n2.484<\/td>\r\n2.463<\/td>\r\n2.388<\/td>\r\n2.308<\/td>\r\n2.223<\/td>\r\n2.178<\/td>\r\n2.131<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n3.095<\/td>\r\n3.050<\/td>\r\n3.012<\/td>\r\n2.979<\/td>\r\n2.949<\/td>\r\n2.844<\/td>\r\n2.732<\/td>\r\n2.614<\/td>\r\n2.552<\/td>\r\n2.487<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n3.864<\/td>\r\n3.800<\/td>\r\n3.745<\/td>\r\n3.698<\/td>\r\n3.656<\/td>\r\n3.505<\/td>\r\n3.348<\/td>\r\n3.181<\/td>\r\n3.094<\/td>\r\n3.004<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n4.508<\/td>\r\n4.428<\/td>\r\n4.359<\/td>\r\n4.299<\/td>\r\n4.247<\/td>\r\n4.059<\/td>\r\n3.862<\/td>\r\n3.655<\/td>\r\n3.547<\/td>\r\n3.436<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n6.256<\/td>\r\n6.130<\/td>\r\n6.023<\/td>\r\n5.930<\/td>\r\n5.848<\/td>\r\n5.557<\/td>\r\n5.254<\/td>\r\n4.938<\/td>\r\n4.773<\/td>\r\n4.604<\/td>\r\n<\/tr>\r\n
[latex]df_d=15[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.983<\/td>\r\n0.989<\/td>\r\n0.993<\/td>\r\n0.997<\/td>\r\n1.000<\/td>\r\n1.011<\/td>\r\n1.023<\/td>\r\n1.034<\/td>\r\n1.040<\/td>\r\n1.046<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.037<\/td>\r\n2.017<\/td>\r\n2.000<\/td>\r\n1.985<\/td>\r\n1.972<\/td>\r\n1.924<\/td>\r\n1.873<\/td>\r\n1.817<\/td>\r\n1.787<\/td>\r\n1.755<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n2.507<\/td>\r\n2.475<\/td>\r\n2.448<\/td>\r\n2.424<\/td>\r\n2.403<\/td>\r\n2.328<\/td>\r\n2.247<\/td>\r\n2.160<\/td>\r\n2.114<\/td>\r\n2.066<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n3.008<\/td>\r\n2.963<\/td>\r\n2.925<\/td>\r\n2.891<\/td>\r\n2.862<\/td>\r\n2.756<\/td>\r\n2.644<\/td>\r\n2.524<\/td>\r\n2.461<\/td>\r\n2.395<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n3.730<\/td>\r\n3.666<\/td>\r\n3.612<\/td>\r\n3.564<\/td>\r\n3.522<\/td>\r\n3.372<\/td>\r\n3.214<\/td>\r\n3.047<\/td>\r\n2.959<\/td>\r\n2.868<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n4.329<\/td>\r\n4.250<\/td>\r\n4.181<\/td>\r\n4.122<\/td>\r\n4.070<\/td>\r\n3.883<\/td>\r\n3.687<\/td>\r\n3.480<\/td>\r\n3.372<\/td>\r\n3.260<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n5.935<\/td>\r\n5.812<\/td>\r\n5.707<\/td>\r\n5.615<\/td>\r\n5.535<\/td>\r\n5.248<\/td>\r\n4.950<\/td>\r\n4.638<\/td>\r\n4.475<\/td>\r\n4.307<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/th>\r\n\r\n
[latex]df_n[\/latex]<\/div><\/th>\r\n<\/tr>\r\n
[latex]\\alpha[\/latex]<\/th>\r\n1<\/th>\r\n2<\/th>\r\n3<\/th>\r\n4<\/th>\r\n5<\/th>\r\n6<\/th>\r\n7<\/th>\r\n8<\/th>\r\n9<\/th>\r\n10<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]df_d=20[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.472<\/td>\r\n0.718<\/td>\r\n0.816<\/td>\r\n0.868<\/td>\r\n0.900<\/td>\r\n0.922<\/td>\r\n0.938<\/td>\r\n0.950<\/td>\r\n0.959<\/td>\r\n0.966<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.975<\/td>\r\n2.589<\/td>\r\n2.380<\/td>\r\n2.249<\/td>\r\n2.158<\/td>\r\n2.091<\/td>\r\n2.040<\/td>\r\n1.999<\/td>\r\n1.965<\/td>\r\n1.937<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n4.351<\/td>\r\n3.493<\/td>\r\n3.098<\/td>\r\n2.866<\/td>\r\n2.711<\/td>\r\n2.599<\/td>\r\n2.514<\/td>\r\n2.447<\/td>\r\n2.393<\/td>\r\n2.348<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n5.871<\/td>\r\n4.461<\/td>\r\n3.859<\/td>\r\n3.515<\/td>\r\n3.289<\/td>\r\n3.128<\/td>\r\n3.007<\/td>\r\n2.913<\/td>\r\n2.837<\/td>\r\n2.774<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n8.096<\/td>\r\n5.849<\/td>\r\n4.938<\/td>\r\n4.431<\/td>\r\n4.103<\/td>\r\n3.871<\/td>\r\n3.699<\/td>\r\n3.564<\/td>\r\n3.457<\/td>\r\n3.368<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n9.944<\/td>\r\n6.986<\/td>\r\n5.818<\/td>\r\n5.174<\/td>\r\n4.762<\/td>\r\n4.472<\/td>\r\n4.257<\/td>\r\n4.090<\/td>\r\n3.956<\/td>\r\n3.847<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n14.819<\/td>\r\n9.953<\/td>\r\n8.098<\/td>\r\n7.096<\/td>\r\n6.461<\/td>\r\n6.019<\/td>\r\n5.692<\/td>\r\n5.440<\/td>\r\n5.239<\/td>\r\n5.075<\/td>\r\n<\/tr>\r\n
[latex]df_d=30[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.466<\/td>\r\n0.709<\/td>\r\n0.807<\/td>\r\n0.858<\/td>\r\n0.890<\/td>\r\n0.912<\/td>\r\n0.927<\/td>\r\n0.939<\/td>\r\n0.948<\/td>\r\n0.955<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.881<\/td>\r\n2.489<\/td>\r\n2.276<\/td>\r\n2.142<\/td>\r\n2.049<\/td>\r\n1.980<\/td>\r\n1.927<\/td>\r\n1.884<\/td>\r\n1.849<\/td>\r\n1.819<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n4.171<\/td>\r\n3.316<\/td>\r\n2.922<\/td>\r\n2.690<\/td>\r\n2.534<\/td>\r\n2.421<\/td>\r\n2.334<\/td>\r\n2.266<\/td>\r\n2.211<\/td>\r\n2.165<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n5.568<\/td>\r\n4.182<\/td>\r\n3.589<\/td>\r\n3.250<\/td>\r\n3.026<\/td>\r\n2.867<\/td>\r\n2.746<\/td>\r\n2.651<\/td>\r\n2.575<\/td>\r\n2.511<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n7.562<\/td>\r\n5.390<\/td>\r\n4.510<\/td>\r\n4.018<\/td>\r\n3.699<\/td>\r\n3.473<\/td>\r\n3.304<\/td>\r\n3.173<\/td>\r\n3.067<\/td>\r\n2.979<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n9.180<\/td>\r\n6.355<\/td>\r\n5.239<\/td>\r\n4.623<\/td>\r\n4.228<\/td>\r\n3.949<\/td>\r\n3.742<\/td>\r\n3.580<\/td>\r\n3.450<\/td>\r\n3.344<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n13.293<\/td>\r\n8.773<\/td>\r\n7.054<\/td>\r\n6.125<\/td>\r\n5.534<\/td>\r\n5.122<\/td>\r\n4.817<\/td>\r\n4.581<\/td>\r\n4.393<\/td>\r\n4.239<\/td>\r\n<\/tr>\r\n
[latex]df_d=60[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.460<\/td>\r\n0.701<\/td>\r\n0.798<\/td>\r\n0.849<\/td>\r\n0.880<\/td>\r\n0.901<\/td>\r\n0.917<\/td>\r\n0.928<\/td>\r\n0.937<\/td>\r\n0.945<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.791<\/td>\r\n2.393<\/td>\r\n2.177<\/td>\r\n2.041<\/td>\r\n1.946<\/td>\r\n1.875<\/td>\r\n1.819<\/td>\r\n1.775<\/td>\r\n1.738<\/td>\r\n1.707<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n4.001<\/td>\r\n3.150<\/td>\r\n2.758<\/td>\r\n2.525<\/td>\r\n2.368<\/td>\r\n2.254<\/td>\r\n2.167<\/td>\r\n2.097<\/td>\r\n2.040<\/td>\r\n1.993<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n5.286<\/td>\r\n3.925<\/td>\r\n3.343<\/td>\r\n3.008<\/td>\r\n2.786<\/td>\r\n2.627<\/td>\r\n2.507<\/td>\r\n2.412<\/td>\r\n2.334<\/td>\r\n2.270<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n7.077<\/td>\r\n4.977<\/td>\r\n4.126<\/td>\r\n3.649<\/td>\r\n3.339<\/td>\r\n3.119<\/td>\r\n2.953<\/td>\r\n2.823<\/td>\r\n2.718<\/td>\r\n2.632<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n8.495<\/td>\r\n5.795<\/td>\r\n4.729<\/td>\r\n4.140<\/td>\r\n3.760<\/td>\r\n3.492<\/td>\r\n3.291<\/td>\r\n3.134<\/td>\r\n3.008<\/td>\r\n2.904<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n11.973<\/td>\r\n7.768<\/td>\r\n6.171<\/td>\r\n5.307<\/td>\r\n4.757<\/td>\r\n4.372<\/td>\r\n4.086<\/td>\r\n3.865<\/td>\r\n3.687<\/td>\r\n3.541<\/td>\r\n<\/tr>\r\n
[latex]df_d=120[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.458<\/td>\r\n0.697<\/td>\r\n0.793<\/td>\r\n0.844<\/td>\r\n0.875<\/td>\r\n0.896<\/td>\r\n0.912<\/td>\r\n0.923<\/td>\r\n0.932<\/td>\r\n0.939<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.748<\/td>\r\n2.347<\/td>\r\n2.130<\/td>\r\n1.992<\/td>\r\n1.896<\/td>\r\n1.824<\/td>\r\n1.767<\/td>\r\n1.722<\/td>\r\n1.684<\/td>\r\n1.652<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n3.920<\/td>\r\n3.072<\/td>\r\n2.680<\/td>\r\n2.447<\/td>\r\n2.290<\/td>\r\n2.175<\/td>\r\n2.087<\/td>\r\n2.016<\/td>\r\n1.959<\/td>\r\n1.910<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n5.152<\/td>\r\n3.805<\/td>\r\n3.227<\/td>\r\n2.894<\/td>\r\n2.674<\/td>\r\n2.515<\/td>\r\n2.395<\/td>\r\n2.299<\/td>\r\n2.222<\/td>\r\n2.157<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n6.851<\/td>\r\n4.787<\/td>\r\n3.949<\/td>\r\n3.480<\/td>\r\n3.174<\/td>\r\n2.956<\/td>\r\n2.792<\/td>\r\n2.663<\/td>\r\n2.559<\/td>\r\n2.472<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n8.179<\/td>\r\n5.539<\/td>\r\n4.497<\/td>\r\n3.921<\/td>\r\n3.548<\/td>\r\n3.285<\/td>\r\n3.087<\/td>\r\n2.933<\/td>\r\n2.808<\/td>\r\n2.705<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n11.380<\/td>\r\n7.321<\/td>\r\n5.781<\/td>\r\n4.947<\/td>\r\n4.416<\/td>\r\n4.044<\/td>\r\n3.767<\/td>\r\n3.552<\/td>\r\n3.379<\/td>\r\n3.237<\/td>\r\n<\/tr>\r\n
[latex]df_d=\\infty[\/latex]<\/strong><\/td>\r\n<\/tr>\r\n
0.5<\/td>\r\n0.455<\/td>\r\n0.693<\/td>\r\n0.789<\/td>\r\n0.839<\/td>\r\n0.870<\/td>\r\n0.891<\/td>\r\n0.907<\/td>\r\n0.918<\/td>\r\n0.927<\/td>\r\n0.934<\/td>\r\n<\/tr>\r\n
0.1<\/td>\r\n2.706<\/td>\r\n2.303<\/td>\r\n2.084<\/td>\r\n1.945<\/td>\r\n1.847<\/td>\r\n1.774<\/td>\r\n1.717<\/td>\r\n1.670<\/td>\r\n1.632<\/td>\r\n1.599<\/td>\r\n<\/tr>\r\n
0.05<\/td>\r\n3.841<\/td>\r\n2.996<\/td>\r\n2.605<\/td>\r\n2.372<\/td>\r\n2.214<\/td>\r\n2.099<\/td>\r\n2.010<\/td>\r\n1.938<\/td>\r\n1.880<\/td>\r\n1.831<\/td>\r\n<\/tr>\r\n
0.025<\/td>\r\n5.024<\/td>\r\n3.689<\/td>\r\n3.116<\/td>\r\n2.786<\/td>\r\n2.567<\/td>\r\n2.408<\/td>\r\n2.288<\/td>\r\n2.192<\/td>\r\n2.114<\/td>\r\n2.048<\/td>\r\n<\/tr>\r\n
0.01<\/td>\r\n6.635<\/td>\r\n4.605<\/td>\r\n3.782<\/td>\r\n3.319<\/td>\r\n3.017<\/td>\r\n2.802<\/td>\r\n2.639<\/td>\r\n2.511<\/td>\r\n2.407<\/td>\r\n2.321<\/td>\r\n<\/tr>\r\n
0.005<\/td>\r\n7.879<\/td>\r\n5.298<\/td>\r\n4.279<\/td>\r\n3.715<\/td>\r\n3.350<\/td>\r\n3.091<\/td>\r\n2.897<\/td>\r\n2.744<\/td>\r\n2.621<\/td>\r\n2.519<\/td>\r\n<\/tr>\r\n
0.001<\/td>\r\n10.828<\/td>\r\n6.908<\/td>\r\n5.422<\/td>\r\n4.617<\/td>\r\n4.103<\/td>\r\n3.743<\/td>\r\n3.475<\/td>\r\n3.266<\/td>\r\n3.097<\/td>\r\n2.959<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Attribution<\/h2>\r\nTable II (area under the standard normal curve for negative and positive [latex]z[\/latex], Table IV: Values of [latex]t_{\\alpha}[\/latex] of [latex]t[\/latex]-distribution, Table V: Values of [latex]\\chi^2_{\\alpha}[\/latex] of [latex]\\chi^2[\/latex]-distribution, and Table VI: Values of [latex]F_{\\alpha}[\/latex] of [latex]F[\/latex]-distribution, were adapted, with editorial changes, from: Jamil, H. (2020). Statistical tables. https:\/\/haziqj.github.io\/stat-tables\/<\/a>. Licensed under GPL-3.0<\/a>.","rendered":"
\n

Table I: Random Number Table<\/a><\/p>\n<\/div>\n

Table II: Area under the standard normal curve to the left of a given [latex]z[\/latex] score<\/a><\/p>\n

Table III: Normal scores (theoretical quantiles) for normal Q-Q plot given a certain sample size [latex]n[\/latex]<\/a><\/p>\n

Table IV: Values of [latex]t_{\\alpha}[\/latex] of [latex]t[\/latex]-distribution for a given degrees of freedom [latex]df[\/latex]<\/a><\/p>\n

Table V: Values of [latex]\\chi^2_{\\alpha}[\/latex] of [latex]\\chi^2[\/latex]-distribution for a given degrees of freedom [latex]df[\/latex]<\/a><\/p>\n

Table VI: Values of [latex]F_{\\alpha}[\/latex] of [latex]F[\/latex]-distribution for given degrees of freedom [latex]df_n[\/latex] and [latex]df_d[\/latex]<\/a><\/p>\n

Table I: Random Number Table<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Line<\/th>\nColumn Number<\/th>\n<\/tr>\n<\/thead>\n
Number<\/td>\n00-09<\/td>\n10-19<\/td>\n20-29<\/td>\n30-39<\/td>\n40-49<\/td>\n<\/tr>\n
00<\/td>\n1 6 7 0 4<\/td>\n9 9 7 5 7<\/td>\n0 2 0 8 4<\/td>\n1 3 7 0 1<\/td>\n9 1 0 8 5<\/td>\n2 2 0 1 0<\/td>\n8 4 8 7 0<\/td>\n1 8 4 7 7<\/td>\n6 5 6 1 0<\/td>\n8 1 4 5 3<\/td>\n<\/tr>\n
01<\/td>\n8 7 8 5 8<\/td>\n5 0 3 0 8<\/td>\n4 7 3 4 5<\/td>\n9 1 5 2 8<\/td>\n2 8 4 8 3<\/td>\n0 0 4 6 7<\/td>\n7 2 4 1 9<\/td>\n9 8 1 2 5<\/td>\n5 0 4 3 6<\/td>\n4 0 4 5 4<\/td>\n<\/tr>\n
02<\/td>\n3 0 8 6 8<\/td>\n1 1 9 7 3<\/td>\n7 9 3 6 0<\/td>\n0 1 9 7 6<\/td>\n7 8 2 3 9<\/td>\n7 7 8 5 4<\/td>\n7 0 0 5 3<\/td>\n0 2 5 0 3<\/td>\n0 6 7 7 4<\/td>\n7 4 5 8 4<\/td>\n<\/tr>\n
03<\/td>\n3 6 0 7 9<\/td>\n3 4 9 9 7<\/td>\n5 3 9 1 3<\/td>\n1 9 9 6 4<\/td>\n2 2 8 8 9<\/td>\n0 4 3 4 8<\/td>\n1 9 6 4 0<\/td>\n8 4 2 2 3<\/td>\n8 6 6 4 1<\/td>\n8 7 1 8 7<\/td>\n<\/tr>\n
04<\/td>\n3 1 9 7 2<\/td>\n1 8 3 1 3<\/td>\n8 7 7 9 8<\/td>\n6 0 4 5 5<\/td>\n8 2 9 9 4<\/td>\n2 7 9 0 4<\/td>\n5 4 2 0 7<\/td>\n2 4 8 4 3<\/td>\n6 4 6 6 0<\/td>\n7 0 8 2 2<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
05<\/td>\n8 2 5 2 8<\/td>\n6 7 3 1 4<\/td>\n1 2 7 0 0<\/td>\n9 2 3 2 3<\/td>\n1 9 5 1 3<\/td>\n2 3 9 2 2<\/td>\n4 7 1 3 3<\/td>\n4 5 4 2 0<\/td>\n4 5 6 2 2<\/td>\n6 5 8 2 2<\/td>\n<\/tr>\n
06<\/td>\n6 5 6 2 3<\/td>\n5 8 9 0 8<\/td>\n5 1 8 1 3<\/td>\n0 2 3 8 5<\/td>\n3 2 9 8 9<\/td>\n5 0 5 9 7<\/td>\n9 3 0 0 6<\/td>\n1 8 2 6 2<\/td>\n5 2 9 7 8<\/td>\n5 7 2 4 3<\/td>\n<\/tr>\n
07<\/td>\n5 7 6 7 8<\/td>\n0 8 5 6 9<\/td>\n1 5 1 9 8<\/td>\n8 8 2 1 6<\/td>\n6 6 4 3 8<\/td>\n2 9 0 0 8<\/td>\n8 4 1 6 1<\/td>\n5 0 1 2 0<\/td>\n6 3 1 5 3<\/td>\n7 8 9 8 2<\/td>\n<\/tr>\n
08<\/td>\n6 7 3 5 7<\/td>\n8 7 7 6 3<\/td>\n7 2 5 4 8<\/td>\n6 3 5 7 7<\/td>\n4 7 5 6 2<\/td>\n7 4 4 9 5<\/td>\n0 7 7 5 2<\/td>\n3 0 6 4 8<\/td>\n4 1 0 3 4<\/td>\n1 0 8 2 3<\/td>\n<\/tr>\n
09<\/td>\n6 8 2 2 9<\/td>\n8 4 1 3 4<\/td>\n9 1 0 2 2<\/td>\n3 6 0 7 8<\/td>\n7 3 4 4 1<\/td>\n8 5 3 3 3<\/td>\n9 5 7 2 3<\/td>\n9 0 4 4 5<\/td>\n3 4 3 6 4<\/td>\n8 9 7 4 6<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
10<\/td>\n1 8 4 2 9<\/td>\n8 8 0 4 1<\/td>\n4 2 3 6 3<\/td>\n8 0 2 9 9<\/td>\n0 5 2 4 1<\/td>\n8 3 5 2 0<\/td>\n4 8 7 8 6<\/td>\n7 7 4 2 8<\/td>\n4 7 5 2 8<\/td>\n1 5 8 1 8<\/td>\n<\/tr>\n
11<\/td>\n9 1 6 7 7<\/td>\n0 4 9 2 0<\/td>\n2 4 2 2 0<\/td>\n7 6 0 2 5<\/td>\n8 8 2 9 6<\/td>\n8 8 2 3 7<\/td>\n9 9 1 4 7<\/td>\n7 1 6 9 1<\/td>\n0 8 4 9 8<\/td>\n9 1 9 9 0<\/td>\n<\/tr>\n
12<\/td>\n9 7 3 2 0<\/td>\n4 4 1 6 4<\/td>\n3 6 0 8 7<\/td>\n0 2 9 7 4<\/td>\n7 8 6 4 6<\/td>\n1 0 8 4 5<\/td>\n6 4 4 5 0<\/td>\n3 9 2 0 5<\/td>\n4 9 4 4 6<\/td>\n8 9 8 3 9<\/td>\n<\/tr>\n
13<\/td>\n7 1 9 5 2<\/td>\n7 1 9 9 0<\/td>\n9 6 9 5 2<\/td>\n8 9 6 4 5<\/td>\n2 1 9 5 3<\/td>\n9 5 6 7 4<\/td>\n0 3 3 0 7<\/td>\n9 4 5 8 0<\/td>\n6 9 3 9 5<\/td>\n5 3 1 6 6<\/td>\n<\/tr>\n
14<\/td>\n7 4 4 3 4<\/td>\n2 3 2 5 1<\/td>\n6 9 3 8 7<\/td>\n1 1 4 3 5<\/td>\n8 5 2 9 7<\/td>\n2 9 3 6 0<\/td>\n9 1 1 6 7<\/td>\n3 1 9 9 9<\/td>\n9 1 9 5 2<\/td>\n9 9 9 7 6<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
15<\/td>\n7 5 6 2 5<\/td>\n5 4 0 7 2<\/td>\n1 5 5 9 6<\/td>\n1 9 7 6 0<\/td>\n8 2 2 0 5<\/td>\n3 8 6 0 2<\/td>\n8 1 5 7 1<\/td>\n4 2 9 0 5<\/td>\n7 3 0 7 2<\/td>\n2 1 4 9 8<\/td>\n<\/tr>\n
16<\/td>\n7 8 0 6 8<\/td>\n6 1 7 9 9<\/td>\n0 4 1 4 9<\/td>\n6 0 1 8 2<\/td>\n2 9 8 8 6<\/td>\n9 8 3 3 1<\/td>\n1 6 5 2 2<\/td>\n0 2 8 7 7<\/td>\n8 8 4 3 1<\/td>\n8 9 7 8 0<\/td>\n<\/tr>\n
17<\/td>\n1 6 9 0 4<\/td>\n4 5 9 9 8<\/td>\n3 2 4 7 6<\/td>\n6 6 1 9 3<\/td>\n6 1 1 8 8<\/td>\n5 8 1 7 7<\/td>\n1 3 3 7 7<\/td>\n9 3 9 5 4<\/td>\n9 2 1 4 0<\/td>\n9 7 7 1 3<\/td>\n<\/tr>\n
18<\/td>\n0 2 4 2 5<\/td>\n0 0 5 4 8<\/td>\n5 9 4 9 0<\/td>\n2 7 8 6 8<\/td>\n3 6 7 0 0<\/td>\n4 1 3 9 0<\/td>\n5 7 1 5 3<\/td>\n7 7 3 6 1<\/td>\n2 4 6 2 8<\/td>\n5 7 5 3 0<\/td>\n<\/tr>\n
19<\/td>\n7 4 8 1 3<\/td>\n1 9 2 1 5<\/td>\n4 4 6 0 5<\/td>\n2 1 4 6 7<\/td>\n6 2 7 7 6<\/td>\n2 2 8 9 2<\/td>\n0 0 3 9 4<\/td>\n4 2 2 4 9<\/td>\n9 6 6 9 7<\/td>\n0 2 2 4 1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Table II: Area under the standard normal curve for negative [latex]z[\/latex]<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Second decimal place in [latex]z[\/latex]<\/th>\n<\/th>\n<\/tr>\n<\/thead>\n
0.09<\/td>\n0.08<\/td>\n0.07<\/td>\n0.06<\/td>\n0.05<\/td>\n0.04<\/td>\n0.03<\/td>\n0.02<\/td>\n0.01<\/td>\n0.00<\/td>\n[latex]z[\/latex]<\/td>\n<\/tr>\n
0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n0.0000<\/td>\n-3.9<\/td>\n<\/tr>\n
0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n-3.8<\/td>\n<\/tr>\n
0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n-3.7<\/td>\n<\/tr>\n
0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0001<\/td>\n0.0002<\/td>\n0.0002<\/td>\n-3.6<\/td>\n<\/tr>\n
0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n0.0002<\/td>\n-3.5<\/td>\n<\/tr>\n
0.0002<\/td>\n0.0003<\/td>\n0.0003<\/td>\n0.0003<\/td>\n0.0003<\/td>\n0.0003<\/td>\n0.0003<\/td>\n0.0003<\/td>\n0.0003<\/td>\n0.0003<\/td>\n-3.4<\/td>\n<\/tr>\n
0.0003<\/td>\n0.0004<\/td>\n0.0004<\/td>\n0.0004<\/td>\n0.0004<\/td>\n0.0004<\/td>\n0.0004<\/td>\n0.0005<\/td>\n0.0005<\/td>\n0.0005<\/td>\n-3.3<\/td>\n<\/tr>\n
0.0005<\/td>\n0.0005<\/td>\n0.0005<\/td>\n0.0006<\/td>\n0.0006<\/td>\n0.0006<\/td>\n0.0006<\/td>\n0.0006<\/td>\n0.0007<\/td>\n0.0007<\/td>\n-3.2<\/td>\n<\/tr>\n
0.0007<\/td>\n0.0007<\/td>\n0.0008<\/td>\n0.0008<\/td>\n0.0008<\/td>\n0.0008<\/td>\n0.0009<\/td>\n0.0009<\/td>\n0.0009<\/td>\n0.0010<\/td>\n-3.1<\/td>\n<\/tr>\n
0.0010<\/td>\n0.0010<\/td>\n0.0011<\/td>\n0.0011<\/td>\n0.0011<\/td>\n0.0012<\/td>\n0.0012<\/td>\n0.0013<\/td>\n0.0013<\/td>\n0.0013<\/td>\n-3.0<\/td>\n<\/tr>\n
0.0014<\/td>\n0.0014<\/td>\n0.0015<\/td>\n0.0015<\/td>\n0.0016<\/td>\n0.0016<\/td>\n0.0017<\/td>\n0.0018<\/td>\n0.0018<\/td>\n0.0019<\/td>\n-2.9<\/td>\n<\/tr>\n
0.0019<\/td>\n0.0020<\/td>\n0.0021<\/td>\n0.0021<\/td>\n0.0022<\/td>\n0.0023<\/td>\n0.0023<\/td>\n0.0024<\/td>\n0.0025<\/td>\n0.0026<\/td>\n-2.8<\/td>\n<\/tr>\n
0.0026<\/td>\n0.0027<\/td>\n0.0028<\/td>\n0.0029<\/td>\n0.0030<\/td>\n0.0031<\/td>\n0.0032<\/td>\n0.0033<\/td>\n0.0034<\/td>\n0.0035<\/td>\n-2.7<\/td>\n<\/tr>\n
0.0036<\/td>\n0.0037<\/td>\n0.0038<\/td>\n0.0039<\/td>\n0.0040<\/td>\n0.0041<\/td>\n0.0043<\/td>\n0.0044<\/td>\n0.0045<\/td>\n0.0047<\/td>\n-2.6<\/td>\n<\/tr>\n
0.0048<\/td>\n0.0049<\/td>\n0.0051<\/td>\n0.0052<\/td>\n0.0054<\/td>\n0.0055<\/td>\n0.0057<\/td>\n0.0059<\/td>\n0.0060<\/td>\n0.0062<\/td>\n-2.5<\/td>\n<\/tr>\n
0.0064<\/td>\n0.0066<\/td>\n0.0068<\/td>\n0.0069<\/td>\n0.0071<\/td>\n0.0073<\/td>\n0.0075<\/td>\n0.0078<\/td>\n0.0080<\/td>\n0.0082<\/td>\n-2.4<\/td>\n<\/tr>\n
0.0084<\/td>\n0.0087<\/td>\n0.0089<\/td>\n0.0091<\/td>\n0.0094<\/td>\n0.0096<\/td>\n0.0099<\/td>\n0.0102<\/td>\n0.0104<\/td>\n0.0107<\/td>\n-2.3<\/td>\n<\/tr>\n
0.0110<\/td>\n0.0113<\/td>\n0.0116<\/td>\n0.0119<\/td>\n0.0122<\/td>\n0.0125<\/td>\n0.0129<\/td>\n0.0132<\/td>\n0.0136<\/td>\n0.0139<\/td>\n-2.2<\/td>\n<\/tr>\n
0.0143<\/td>\n0.0146<\/td>\n0.0150<\/td>\n0.0154<\/td>\n0.0158<\/td>\n0.0162<\/td>\n0.0166<\/td>\n0.0170<\/td>\n0.0174<\/td>\n0.0179<\/td>\n-2.1<\/td>\n<\/tr>\n
0.0183<\/td>\n0.0188<\/td>\n0.0192<\/td>\n0.0197<\/td>\n0.0202<\/td>\n0.0207<\/td>\n0.0212<\/td>\n0.0217<\/td>\n0.0222<\/td>\n0.0228<\/td>\n-2.0<\/td>\n<\/tr>\n
0.0233<\/td>\n0.0239<\/td>\n0.0244<\/td>\n0.0250<\/td>\n0.0256<\/td>\n0.0262<\/td>\n0.0268<\/td>\n0.0274<\/td>\n0.0281<\/td>\n0.0287<\/td>\n-1.9<\/td>\n<\/tr>\n
0.0294<\/td>\n0.0301<\/td>\n0.0307<\/td>\n0.0314<\/td>\n0.0322<\/td>\n0.0329<\/td>\n0.0336<\/td>\n0.0344<\/td>\n0.0351<\/td>\n0.0359<\/td>\n-1.8<\/td>\n<\/tr>\n
0.0367<\/td>\n0.0375<\/td>\n0.0384<\/td>\n0.0392<\/td>\n0.0401<\/td>\n0.0409<\/td>\n0.0418<\/td>\n0.0427<\/td>\n0.0436<\/td>\n0.0446<\/td>\n-1.7<\/td>\n<\/tr>\n
0.0455<\/td>\n0.0465<\/td>\n0.0475<\/td>\n0.0485<\/td>\n0.0495<\/td>\n0.0505<\/td>\n0.0516<\/td>\n0.0526<\/td>\n0.0537<\/td>\n0.0548<\/td>\n-1.6<\/td>\n<\/tr>\n
0.0559<\/td>\n0.0571<\/td>\n0.0582<\/td>\n0.0594<\/td>\n0.0606<\/td>\n0.0618<\/td>\n0.0630<\/td>\n0.0643<\/td>\n0.0655<\/td>\n0.0668<\/td>\n-1.5<\/td>\n<\/tr>\n
0.0681<\/td>\n0.0694<\/td>\n0.0708<\/td>\n0.0721<\/td>\n0.0735<\/td>\n0.0749<\/td>\n0.0764<\/td>\n0.0778<\/td>\n0.0793<\/td>\n0.0808<\/td>\n-1.4<\/td>\n<\/tr>\n
0.0823<\/td>\n0.0838<\/td>\n0.0853<\/td>\n0.0869<\/td>\n0.0885<\/td>\n0.0901<\/td>\n0.0918<\/td>\n0.0934<\/td>\n0.0951<\/td>\n0.0968<\/td>\n-1.3<\/td>\n<\/tr>\n
0.0985<\/td>\n0.1003<\/td>\n0.1020<\/td>\n0.1038<\/td>\n0.1056<\/td>\n0.1075<\/td>\n0.1093<\/td>\n0.1112<\/td>\n0.1131<\/td>\n0.1151<\/td>\n-1.2<\/td>\n<\/tr>\n
0.1170<\/td>\n0.1190<\/td>\n0.1210<\/td>\n0.1230<\/td>\n0.1251<\/td>\n0.1271<\/td>\n0.1292<\/td>\n0.1314<\/td>\n0.1335<\/td>\n0.1357<\/td>\n-1.1<\/td>\n<\/tr>\n
0.1379<\/td>\n0.1401<\/td>\n0.1423<\/td>\n0.1446<\/td>\n0.1469<\/td>\n0.1492<\/td>\n0.1515<\/td>\n0.1539<\/td>\n0.1562<\/td>\n0.1587<\/td>\n-1.0<\/td>\n<\/tr>\n
0.1611<\/td>\n0.1635<\/td>\n0.1660<\/td>\n0.1685<\/td>\n0.1711<\/td>\n0.1736<\/td>\n0.1762<\/td>\n0.1788<\/td>\n0.1814<\/td>\n0.1841<\/td>\n-0.9<\/td>\n<\/tr>\n
0.1867<\/td>\n0.1894<\/td>\n0.1922<\/td>\n0.1949<\/td>\n0.1977<\/td>\n0.2005<\/td>\n0.2033<\/td>\n0.2061<\/td>\n0.2090<\/td>\n0.2119<\/td>\n-0.8<\/td>\n<\/tr>\n
0.2148<\/td>\n0.2177<\/td>\n0.2206<\/td>\n0.2236<\/td>\n0.2266<\/td>\n0.2296<\/td>\n0.2327<\/td>\n0.2358<\/td>\n0.2389<\/td>\n0.2420<\/td>\n-0.7<\/td>\n<\/tr>\n
0.2451<\/td>\n0.2483<\/td>\n0.2514<\/td>\n0.2546<\/td>\n0.2578<\/td>\n0.2611<\/td>\n0.2643<\/td>\n0.2676<\/td>\n0.2709<\/td>\n0.2743<\/td>\n-0.6<\/td>\n<\/tr>\n
0.2776<\/td>\n0.2810<\/td>\n0.2843<\/td>\n0.2877<\/td>\n0.2912<\/td>\n0.2946<\/td>\n0.2981<\/td>\n0.3015<\/td>\n0.3050<\/td>\n0.3085<\/td>\n-0.5<\/td>\n<\/tr>\n
0.3121<\/td>\n0.3156<\/td>\n0.3192<\/td>\n0.3228<\/td>\n0.3264<\/td>\n0.3300<\/td>\n0.3336<\/td>\n0.3372<\/td>\n0.3409<\/td>\n0.3446<\/td>\n-0.4<\/td>\n<\/tr>\n
0.3483<\/td>\n0.3520<\/td>\n0.3557<\/td>\n0.3594<\/td>\n0.3632<\/td>\n0.3669<\/td>\n0.3707<\/td>\n0.3745<\/td>\n0.3783<\/td>\n0.3821<\/td>\n-0.3<\/td>\n<\/tr>\n
0.3859<\/td>\n0.3897<\/td>\n0.3936<\/td>\n0.3974<\/td>\n0.4013<\/td>\n0.4052<\/td>\n0.4090<\/td>\n0.4129<\/td>\n0.4168<\/td>\n0.4207<\/td>\n-0.2<\/td>\n<\/tr>\n
0.4247<\/td>\n0.4286<\/td>\n0.4325<\/td>\n0.4364<\/td>\n0.4404<\/td>\n0.4443<\/td>\n0.4483<\/td>\n0.4522<\/td>\n0.4562<\/td>\n0.4602<\/td>\n-0.1<\/td>\n<\/tr>\n
0.4641<\/td>\n0.4681<\/td>\n0.4721<\/td>\n0.4761<\/td>\n0.4801<\/td>\n0.4840<\/td>\n0.4880<\/td>\n0.4920<\/td>\n0.4960<\/td>\n0.5000<\/td>\n-0.0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Table II: Area under the standard normal curve for positive [latex]z[\/latex]<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\nSecond decimal place in [latex]z[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
[latex]z[\/latex]<\/td>\n0.00<\/td>\n0.01<\/td>\n0.02<\/td>\n0.03<\/td>\n0.04<\/td>\n0.05<\/td>\n0.06<\/td>\n0.07<\/td>\n0.08<\/td>\n0.09<\/td>\n<\/tr>\n
0.0<\/td>\n0.5000<\/td>\n0.5040<\/td>\n0.5080<\/td>\n0.5120<\/td>\n0.5160<\/td>\n0.5199<\/td>\n0.5239<\/td>\n0.5279<\/td>\n0.5319<\/td>\n0.5359<\/td>\n<\/tr>\n
0.1<\/td>\n0.5398<\/td>\n0.5438<\/td>\n0.5478<\/td>\n0.5517<\/td>\n0.5557<\/td>\n0.5596<\/td>\n0.5636<\/td>\n0.5675<\/td>\n0.5714<\/td>\n0.5753<\/td>\n<\/tr>\n
0.2<\/td>\n0.5793<\/td>\n0.5832<\/td>\n0.5871<\/td>\n0.5910<\/td>\n0.5948<\/td>\n0.5987<\/td>\n0.6026<\/td>\n0.6064<\/td>\n0.6103<\/td>\n0.6141<\/td>\n<\/tr>\n
0.3<\/td>\n0.6179<\/td>\n0.6217<\/td>\n0.6255<\/td>\n0.6293<\/td>\n0.6331<\/td>\n0.6368<\/td>\n0.6406<\/td>\n0.6443<\/td>\n0.6480<\/td>\n0.6517<\/td>\n<\/tr>\n
0.4<\/td>\n0.6554<\/td>\n0.6591<\/td>\n0.6628<\/td>\n0.6664<\/td>\n0.6700<\/td>\n0.6736<\/td>\n0.6772<\/td>\n0.6808<\/td>\n0.6844<\/td>\n0.6879<\/td>\n<\/tr>\n
0.5<\/td>\n0.6915<\/td>\n0.6950<\/td>\n0.6985<\/td>\n0.7019<\/td>\n0.7054<\/td>\n0.7088<\/td>\n0.7123<\/td>\n0.7157<\/td>\n0.7190<\/td>\n0.7224<\/td>\n<\/tr>\n
0.6<\/td>\n0.7257<\/td>\n0.7291<\/td>\n0.7324<\/td>\n0.7357<\/td>\n0.7389<\/td>\n0.7422<\/td>\n0.7454<\/td>\n0.7486<\/td>\n0.7517<\/td>\n0.7549<\/td>\n<\/tr>\n
0.7<\/td>\n0.7580<\/td>\n0.7611<\/td>\n0.7642<\/td>\n0.7673<\/td>\n0.7704<\/td>\n0.7734<\/td>\n0.7764<\/td>\n0.7794<\/td>\n0.7823<\/td>\n0.7852<\/td>\n<\/tr>\n
0.8<\/td>\n0.7881<\/td>\n0.7910<\/td>\n0.7939<\/td>\n0.7967<\/td>\n0.7995<\/td>\n0.8023<\/td>\n0.8051<\/td>\n0.8078<\/td>\n0.8106<\/td>\n0.8133<\/td>\n<\/tr>\n
0.9<\/td>\n0.8159<\/td>\n0.8186<\/td>\n0.8212<\/td>\n0.8238<\/td>\n0.8264<\/td>\n0.8289<\/td>\n0.8315<\/td>\n0.8340<\/td>\n0.8365<\/td>\n0.8389<\/td>\n<\/tr>\n
1.0<\/td>\n0.8413<\/td>\n0.8438<\/td>\n0.8461<\/td>\n0.8485<\/td>\n0.8508<\/td>\n0.8531<\/td>\n0.8554<\/td>\n0.8577<\/td>\n0.8599<\/td>\n0.8621<\/td>\n<\/tr>\n
1.1<\/td>\n0.8643<\/td>\n0.8665<\/td>\n0.8686<\/td>\n0.8708<\/td>\n0.8729<\/td>\n0.8749<\/td>\n0.8770<\/td>\n0.8790<\/td>\n0.8810<\/td>\n0.8830<\/td>\n<\/tr>\n
1.2<\/td>\n0.8849<\/td>\n0.8869<\/td>\n0.8888<\/td>\n0.8907<\/td>\n0.8925<\/td>\n0.8944<\/td>\n0.8962<\/td>\n0.8980<\/td>\n0.8997<\/td>\n0.9015<\/td>\n<\/tr>\n
1.3<\/td>\n0.9032<\/td>\n0.9049<\/td>\n0.9066<\/td>\n0.9082<\/td>\n0.9099<\/td>\n0.9115<\/td>\n0.9131<\/td>\n0.9147<\/td>\n0.9162<\/td>\n0.9177<\/td>\n<\/tr>\n
1.4<\/td>\n0.9192<\/td>\n0.9207<\/td>\n0.9222<\/td>\n0.9236<\/td>\n0.9251<\/td>\n0.9265<\/td>\n0.9279<\/td>\n0.9292<\/td>\n0.9306<\/td>\n0.9319<\/td>\n<\/tr>\n
1.5<\/td>\n0.9332<\/td>\n0.9345<\/td>\n0.9357<\/td>\n0.9370<\/td>\n0.9382<\/td>\n0.9394<\/td>\n0.9406<\/td>\n0.9418<\/td>\n0.9429<\/td>\n0.9441<\/td>\n<\/tr>\n
1.6<\/td>\n0.9452<\/td>\n0.9463<\/td>\n0.9474<\/td>\n0.9484<\/td>\n0.9495<\/td>\n0.9505<\/td>\n0.9515<\/td>\n0.9525<\/td>\n0.9535<\/td>\n0.9545<\/td>\n<\/tr>\n
1.7<\/td>\n0.9554<\/td>\n0.9564<\/td>\n0.9573<\/td>\n0.9582<\/td>\n0.9591<\/td>\n0.9599<\/td>\n0.9608<\/td>\n0.9616<\/td>\n0.9625<\/td>\n0.9633<\/td>\n<\/tr>\n
1.8<\/td>\n0.9641<\/td>\n0.9649<\/td>\n0.9656<\/td>\n0.9664<\/td>\n0.9671<\/td>\n0.9678<\/td>\n0.9686<\/td>\n0.9693<\/td>\n0.9699<\/td>\n0.9706<\/td>\n<\/tr>\n
1.9<\/td>\n0.9713<\/td>\n0.9719<\/td>\n0.9726<\/td>\n0.9732<\/td>\n0.9738<\/td>\n0.9744<\/td>\n0.9750<\/td>\n0.9756<\/td>\n0.9761<\/td>\n0.9767<\/td>\n<\/tr>\n
2.0<\/td>\n0.9772<\/td>\n0.9778<\/td>\n0.9783<\/td>\n0.9788<\/td>\n0.9793<\/td>\n0.9798<\/td>\n0.9803<\/td>\n0.9808<\/td>\n0.9812<\/td>\n0.9817<\/td>\n<\/tr>\n
2.1<\/td>\n0.9821<\/td>\n0.9826<\/td>\n0.9830<\/td>\n0.9834<\/td>\n0.9838<\/td>\n0.9842<\/td>\n0.9846<\/td>\n0.9850<\/td>\n0.9854<\/td>\n0.9857<\/td>\n<\/tr>\n
2.2<\/td>\n0.9861<\/td>\n0.9864<\/td>\n0.9868<\/td>\n0.9871<\/td>\n0.9875<\/td>\n0.9878<\/td>\n0.9881<\/td>\n0.9884<\/td>\n0.9887<\/td>\n0.9890<\/td>\n<\/tr>\n
2.3<\/td>\n0.9893<\/td>\n0.9896<\/td>\n0.9898<\/td>\n0.9901<\/td>\n0.9904<\/td>\n0.9906<\/td>\n0.9909<\/td>\n0.9911<\/td>\n0.9913<\/td>\n0.9916<\/td>\n<\/tr>\n
2.4<\/td>\n0.9918<\/td>\n0.9920<\/td>\n0.9922<\/td>\n0.9925<\/td>\n0.9927<\/td>\n0.9929<\/td>\n0.9931<\/td>\n0.9932<\/td>\n0.9934<\/td>\n0.9936<\/td>\n<\/tr>\n
2.5<\/td>\n0.9938<\/td>\n0.9940<\/td>\n0.9941<\/td>\n0.9943<\/td>\n0.9945<\/td>\n0.9946<\/td>\n0.9948<\/td>\n0.9949<\/td>\n0.9951<\/td>\n0.9952<\/td>\n<\/tr>\n
2.6<\/td>\n0.9953<\/td>\n0.9955<\/td>\n0.9956<\/td>\n0.9957<\/td>\n0.9959<\/td>\n0.9960<\/td>\n0.9961<\/td>\n0.9962<\/td>\n0.9963<\/td>\n0.9964<\/td>\n<\/tr>\n
2.7<\/td>\n0.9965<\/td>\n0.9966<\/td>\n0.9967<\/td>\n0.9968<\/td>\n0.9969<\/td>\n0.9970<\/td>\n0.9971<\/td>\n0.9972<\/td>\n0.9973<\/td>\n0.9974<\/td>\n<\/tr>\n
2.8<\/td>\n0.9974<\/td>\n0.9975<\/td>\n0.9976<\/td>\n0.9977<\/td>\n0.9977<\/td>\n0.9978<\/td>\n0.9979<\/td>\n0.9979<\/td>\n0.9980<\/td>\n0.9981<\/td>\n<\/tr>\n
2.9<\/td>\n0.9981<\/td>\n0.9982<\/td>\n0.9982<\/td>\n0.9983<\/td>\n0.9984<\/td>\n0.9984<\/td>\n0.9985<\/td>\n0.9985<\/td>\n0.9986<\/td>\n0.9986<\/td>\n<\/tr>\n
3.0<\/td>\n0.9987<\/td>\n0.9987<\/td>\n0.9987<\/td>\n0.9988<\/td>\n0.9988<\/td>\n0.9989<\/td>\n0.9989<\/td>\n0.9989<\/td>\n0.9990<\/td>\n0.9990<\/td>\n<\/tr>\n
3.1<\/td>\n0.9990<\/td>\n0.9991<\/td>\n0.9991<\/td>\n0.9991<\/td>\n0.9992<\/td>\n0.9992<\/td>\n0.9992<\/td>\n0.9992<\/td>\n0.9993<\/td>\n0.9993<\/td>\n<\/tr>\n
3.2<\/td>\n0.9993<\/td>\n0.9993<\/td>\n0.9994<\/td>\n0.9994<\/td>\n0.9994<\/td>\n0.9994<\/td>\n0.9994<\/td>\n0.9995<\/td>\n0.9995<\/td>\n0.9995<\/td>\n<\/tr>\n
3.3<\/td>\n0.9995<\/td>\n0.9995<\/td>\n0.9995<\/td>\n0.9996<\/td>\n0.9996<\/td>\n0.9996<\/td>\n0.9996<\/td>\n0.9996<\/td>\n0.9996<\/td>\n0.9997<\/td>\n<\/tr>\n
3.4<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9997<\/td>\n0.9998<\/td>\n<\/tr>\n
3.5<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9998<\/td>\n<\/tr>\n
3.6<\/td>\n0.9998<\/td>\n0.9998<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n<\/tr>\n
3.7<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n<\/tr>\n
3.8<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n0.9999<\/td>\n<\/tr>\n
3.9<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n1.0000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Table III: Normal scores for normal Q-Q plot<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\nSample size [latex]n[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
Rank<\/td>\n5<\/td>\n6<\/td>\n7<\/td>\n8<\/td>\n9<\/td>\n10<\/td>\n11<\/td>\n12<\/td>\n13<\/td>\n14<\/td>\n15<\/td>\n16<\/td>\n17<\/td>\n<\/tr>\n
1<\/td>\n-1.18<\/td>\n-1.28<\/td>\n-1.36<\/td>\n-1.43<\/td>\n-1.49<\/td>\n-1.55<\/td>\n-1.59<\/td>\n-1.64<\/td>\n-1.67<\/td>\n-1.71<\/td>\n-1.74<\/td>\n-1.77<\/td>\n-1.80<\/td>\n<\/tr>\n
2<\/td>\n-0.50<\/td>\n-0.64<\/td>\n-0.76<\/td>\n-0.85<\/td>\n-0.93<\/td>\n-1.00<\/td>\n-1.06<\/td>\n-1.11<\/td>\n-1.16<\/td>\n-1.21<\/td>\n-1.25<\/td>\n-1.28<\/td>\n-1.32<\/td>\n<\/tr>\n
3<\/td>\n0.00<\/td>\n-0.20<\/td>\n-0.35<\/td>\n-0.47<\/td>\n-0.57<\/td>\n-0.66<\/td>\n-0.73<\/td>\n-0.79<\/td>\n-0.85<\/td>\n-0.90<\/td>\n-0.95<\/td>\n-0.99<\/td>\n-1.03<\/td>\n<\/tr>\n
4<\/td>\n0.50<\/td>\n0.20<\/td>\n0.00<\/td>\n-0.15<\/td>\n-0.27<\/td>\n-0.38<\/td>\n-0.46<\/td>\n-0.54<\/td>\n-0.60<\/td>\n-0.66<\/td>\n-0.71<\/td>\n-0.76<\/td>\n-0.81<\/td>\n<\/tr>\n
5<\/td>\n1.18<\/td>\n0.64<\/td>\n0.35<\/td>\n0.15<\/td>\n0.00<\/td>\n-0.12<\/td>\n-0.22<\/td>\n-0.31<\/td>\n-0.39<\/td>\n-0.45<\/td>\n-0.51<\/td>\n-0.57<\/td>\n-0.62<\/td>\n<\/tr>\n
6<\/td>\n<\/td>\n1.28<\/td>\n0.76<\/td>\n0.47<\/td>\n0.27<\/td>\n0.12<\/td>\n0.00<\/td>\n-0.10<\/td>\n-0.19<\/td>\n-0.27<\/td>\n-0.33<\/td>\n-0.40<\/td>\n-0.45<\/td>\n<\/tr>\n
7<\/td>\n<\/td>\n<\/td>\n1.36<\/td>\n0.85<\/td>\n0.57<\/td>\n0.38<\/td>\n0.22<\/td>\n0.10<\/td>\n0.00<\/td>\n-0.09<\/td>\n-0.17<\/td>\n-0.23<\/td>\n-0.29<\/td>\n<\/tr>\n
8<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.43<\/td>\n0.93<\/td>\n0.66<\/td>\n0.46<\/td>\n0.31<\/td>\n0.19<\/td>\n0.09<\/td>\n0.00<\/td>\n-0.08<\/td>\n-0.15<\/td>\n<\/tr>\n
9<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.49<\/td>\n1.00<\/td>\n0.73<\/td>\n0.54<\/td>\n0.39<\/td>\n0.27<\/td>\n0.17<\/td>\n0.08<\/td>\n0.00<\/td>\n<\/tr>\n
10<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.55<\/td>\n1.06<\/td>\n0.79<\/td>\n0.60<\/td>\n0.45<\/td>\n0.33<\/td>\n0.23<\/td>\n0.15<\/td>\n<\/tr>\n
11<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.59<\/td>\n1.11<\/td>\n0.85<\/td>\n0.66<\/td>\n0.51<\/td>\n0.40<\/td>\n0.29<\/td>\n<\/tr>\n
12<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.64<\/td>\n1.16<\/td>\n0.90<\/td>\n0.71<\/td>\n0.57<\/td>\n0.45<\/td>\n<\/tr>\n
13<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.67<\/td>\n1.21<\/td>\n0.95<\/td>\n0.76<\/td>\n0.62<\/td>\n<\/tr>\n
14<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.71<\/td>\n1.25<\/td>\n0.99<\/td>\n0.81<\/td>\n<\/tr>\n
15<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.74<\/td>\n1.28<\/td>\n1.03<\/td>\n<\/tr>\n
16<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.77<\/td>\n1.32<\/td>\n<\/tr>\n
17<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.80<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\nSample size [latex]n[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
Rank<\/td>\n18<\/td>\n19<\/td>\n20<\/td>\n21<\/td>\n22<\/td>\n23<\/td>\n24<\/td>\n25<\/td>\n26<\/td>\n27<\/td>\n28<\/td>\n29<\/td>\n30<\/td>\n<\/tr>\n
1<\/td>\n-1.82<\/td>\n-1.85<\/td>\n-1.87<\/td>\n-1.89<\/td>\n-1.91<\/td>\n-1.93<\/td>\n-1.95<\/td>\n-1.96<\/td>\n-1.98<\/td>\n-2.00<\/td>\n-2.01<\/td>\n-2.03<\/td>\n-2.04<\/td>\n<\/tr>\n
2<\/td>\n-1.35<\/td>\n-1.38<\/td>\n-1.40<\/td>\n-1.43<\/td>\n-1.45<\/td>\n-1.48<\/td>\n-1.50<\/td>\n-1.52<\/td>\n-1.54<\/td>\n-1.56<\/td>\n-1.58<\/td>\n-1.59<\/td>\n-1.61<\/td>\n<\/tr>\n
3<\/td>\n-1.06<\/td>\n-1.10<\/td>\n-1.13<\/td>\n-1.16<\/td>\n-1.19<\/td>\n-1.21<\/td>\n-1.24<\/td>\n-1.26<\/td>\n-1.28<\/td>\n-1.30<\/td>\n-1.32<\/td>\n-1.34<\/td>\n-1.36<\/td>\n<\/tr>\n
4<\/td>\n-0.85<\/td>\n-0.88<\/td>\n-0.92<\/td>\n-0.95<\/td>\n-0.98<\/td>\n-1.01<\/td>\n-1.04<\/td>\n-1.06<\/td>\n-1.09<\/td>\n-1.11<\/td>\n-1.13<\/td>\n-1.16<\/td>\n-1.18<\/td>\n<\/tr>\n
5<\/td>\n-0.66<\/td>\n-0.71<\/td>\n-0.74<\/td>\n-0.78<\/td>\n-0.81<\/td>\n-0.85<\/td>\n-0.88<\/td>\n-0.90<\/td>\n-0.93<\/td>\n-0.96<\/td>\n-0.98<\/td>\n-1.00<\/td>\n-1.02<\/td>\n<\/tr>\n
6<\/td>\n-0.50<\/td>\n-0.55<\/td>\n-0.59<\/td>\n-0.63<\/td>\n-0.67<\/td>\n-0.70<\/td>\n-0.73<\/td>\n-0.76<\/td>\n-0.79<\/td>\n-0.82<\/td>\n-0.84<\/td>\n-0.87<\/td>\n-0.89<\/td>\n<\/tr>\n
7<\/td>\n-0.35<\/td>\n-0.40<\/td>\n-0.45<\/td>\n-0.49<\/td>\n-0.53<\/td>\n-0.57<\/td>\n-0.60<\/td>\n-0.64<\/td>\n-0.67<\/td>\n-0.70<\/td>\n-0.72<\/td>\n-0.75<\/td>\n-0.78<\/td>\n<\/tr>\n
8<\/td>\n-0.21<\/td>\n-0.26<\/td>\n-0.31<\/td>\n-0.36<\/td>\n-0.41<\/td>\n-0.45<\/td>\n-0.48<\/td>\n-0.52<\/td>\n-0.55<\/td>\n-0.58<\/td>\n-0.61<\/td>\n-0.64<\/td>\n-0.67<\/td>\n<\/tr>\n
9<\/td>\n-0.07<\/td>\n-0.13<\/td>\n-0.19<\/td>\n-0.24<\/td>\n-0.29<\/td>\n-0.33<\/td>\n-0.37<\/td>\n-0.41<\/td>\n-0.44<\/td>\n-0.48<\/td>\n-0.51<\/td>\n-0.54<\/td>\n-0.57<\/td>\n<\/tr>\n
10<\/td>\n0.07<\/td>\n0.00<\/td>\n-0.06<\/td>\n-0.12<\/td>\n-0.17<\/td>\n-0.22<\/td>\n-0.26<\/td>\n-0.30<\/td>\n-0.34<\/td>\n-0.38<\/td>\n-0.41<\/td>\n-0.44<\/td>\n-0.47<\/td>\n<\/tr>\n
11<\/td>\n0.21<\/td>\n0.13<\/td>\n0.06<\/td>\n0.00<\/td>\n-0.06<\/td>\n-0.11<\/td>\n-0.16<\/td>\n-0.20<\/td>\n-0.24<\/td>\n-0.28<\/td>\n-0.32<\/td>\n-0.35<\/td>\n-0.38<\/td>\n<\/tr>\n
12<\/td>\n0.35<\/td>\n0.26<\/td>\n0.19<\/td>\n0.12<\/td>\n0.06<\/td>\n0.00<\/td>\n-0.05<\/td>\n-0.10<\/td>\n-0.14<\/td>\n-0.19<\/td>\n-0.22<\/td>\n-0.26<\/td>\n-0.29<\/td>\n<\/tr>\n
13<\/td>\n0.50<\/td>\n0.40<\/td>\n0.31<\/td>\n0.24<\/td>\n0.17<\/td>\n0.11<\/td>\n0.05<\/td>\n0.00<\/td>\n-0.05<\/td>\n-0.09<\/td>\n-0.13<\/td>\n-0.17<\/td>\n-0.21<\/td>\n<\/tr>\n
14<\/td>\n0.66<\/td>\n0.55<\/td>\n0.45<\/td>\n0.36<\/td>\n0.29<\/td>\n0.22<\/td>\n0.16<\/td>\n0.10<\/td>\n0.05<\/td>\n0.00<\/td>\n-0.04<\/td>\n-0.09<\/td>\n-0.12<\/td>\n<\/tr>\n
15<\/td>\n0.85<\/td>\n0.71<\/td>\n0.59<\/td>\n0.49<\/td>\n0.41<\/td>\n0.33<\/td>\n0.26<\/td>\n0.20<\/td>\n0.14<\/td>\n0.09<\/td>\n0.04<\/td>\n0.00<\/td>\n-0.04<\/td>\n<\/tr>\n
16<\/td>\n1.06<\/td>\n0.88<\/td>\n0.74<\/td>\n0.63<\/td>\n0.53<\/td>\n0.45<\/td>\n0.37<\/td>\n0.30<\/td>\n0.24<\/td>\n0.19<\/td>\n0.13<\/td>\n0.09<\/td>\n0.04<\/td>\n<\/tr>\n
17<\/td>\n1.35<\/td>\n1.10<\/td>\n0.92<\/td>\n0.78<\/td>\n0.67<\/td>\n0.57<\/td>\n0.48<\/td>\n0.41<\/td>\n0.34<\/td>\n0.28<\/td>\n0.22<\/td>\n0.17<\/td>\n0.12<\/td>\n<\/tr>\n
18<\/td>\n1.82<\/td>\n1.38<\/td>\n1.13<\/td>\n0.95<\/td>\n0.81<\/td>\n0.70<\/td>\n0.60<\/td>\n0.52<\/td>\n0.44<\/td>\n0.38<\/td>\n0.32<\/td>\n0.26<\/td>\n0.21<\/td>\n<\/tr>\n
19<\/td>\n<\/td>\n1.85<\/td>\n1.40<\/td>\n1.16<\/td>\n0.98<\/td>\n0.85<\/td>\n0.73<\/td>\n0.64<\/td>\n0.55<\/td>\n0.48<\/td>\n0.41<\/td>\n0.35<\/td>\n0.29<\/td>\n<\/tr>\n
20<\/td>\n<\/td>\n<\/td>\n1.87<\/td>\n1.43<\/td>\n1.19<\/td>\n1.01<\/td>\n0.88<\/td>\n0.76<\/td>\n0.67<\/td>\n0.58<\/td>\n0.51<\/td>\n0.44<\/td>\n0.38<\/td>\n<\/tr>\n
21<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.89<\/td>\n1.45<\/td>\n1.21<\/td>\n1.04<\/td>\n0.90<\/td>\n0.79<\/td>\n0.70<\/td>\n0.61<\/td>\n0.54<\/td>\n0.47<\/td>\n<\/tr>\n
22<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.91<\/td>\n1.48<\/td>\n1.24<\/td>\n1.06<\/td>\n0.93<\/td>\n0.82<\/td>\n0.72<\/td>\n0.64<\/td>\n0.57<\/td>\n<\/tr>\n
23<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.93<\/td>\n1.50<\/td>\n1.26<\/td>\n1.09<\/td>\n0.96<\/td>\n0.84<\/td>\n0.75<\/td>\n0.67<\/td>\n<\/tr>\n
24<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.95<\/td>\n1.52<\/td>\n1.28<\/td>\n1.11<\/td>\n0.98<\/td>\n0.87<\/td>\n0.78<\/td>\n<\/tr>\n
25<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.96<\/td>\n1.54<\/td>\n1.30<\/td>\n1.13<\/td>\n1.00<\/td>\n0.89<\/td>\n<\/tr>\n
26<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1.98<\/td>\n1.56<\/td>\n1.32<\/td>\n1.16<\/td>\n1.02<\/td>\n<\/tr>\n
27<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n2.00<\/td>\n1.58<\/td>\n1.34<\/td>\n1.18<\/td>\n<\/tr>\n
28<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n2.01<\/td>\n1.59<\/td>\n1.36<\/td>\n<\/tr>\n
29<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n2.03<\/td>\n1.61<\/td>\n<\/tr>\n
30<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n2.04<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a>Table IV: Values of [latex]t_{\\alpha}[\/latex] of [latex]t[\/latex]-distribution<\/h2>\n

\"\"<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n[latex]\\alpha[\/latex]: Area to the Right of [latex]t_{\\alpha}[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
[latex]df[\/latex]<\/td>\n0.40<\/td>\n0.30<\/td>\n0.20<\/td>\n0.15<\/td>\n0.10<\/td>\n0.05<\/td>\n0.025<\/td>\n0.010<\/td>\n0.0075<\/td>\n0.0050<\/td>\n0.0025<\/td>\n0.0005<\/td>\n<\/tr>\n
1<\/td>\n0.325<\/td>\n0.727<\/td>\n1.376<\/td>\n1.963<\/td>\n3.078<\/td>\n6.314<\/td>\n12.706<\/td>\n31.821<\/td>\n42.433<\/td>\n63.657<\/td>\n127.321<\/td>\n636.619<\/td>\n<\/tr>\n
2<\/td>\n0.289<\/td>\n0.617<\/td>\n1.061<\/td>\n1.386<\/td>\n1.886<\/td>\n2.920<\/td>\n4.303<\/td>\n6.965<\/td>\n8.073<\/td>\n9.925<\/td>\n14.089<\/td>\n31.599<\/td>\n<\/tr>\n
3<\/td>\n0.277<\/td>\n0.584<\/td>\n0.978<\/td>\n1.250<\/td>\n1.638<\/td>\n2.353<\/td>\n3.182<\/td>\n4.541<\/td>\n5.047<\/td>\n5.841<\/td>\n7.453<\/td>\n12.924<\/td>\n<\/tr>\n
4<\/td>\n0.271<\/td>\n0.569<\/td>\n0.941<\/td>\n1.190<\/td>\n1.533<\/td>\n2.132<\/td>\n2.776<\/td>\n3.747<\/td>\n4.088<\/td>\n4.604<\/td>\n5.598<\/td>\n8.610<\/td>\n<\/tr>\n
5<\/td>\n0.267<\/td>\n0.559<\/td>\n0.920<\/td>\n1.156<\/td>\n1.476<\/td>\n2.015<\/td>\n2.571<\/td>\n3.365<\/td>\n3.634<\/td>\n4.032<\/td>\n4.773<\/td>\n6.869<\/td>\n<\/tr>\n
6<\/td>\n0.265<\/td>\n0.553<\/td>\n0.906<\/td>\n1.134<\/td>\n1.440<\/td>\n1.943<\/td>\n2.447<\/td>\n3.143<\/td>\n3.372<\/td>\n3.707<\/td>\n4.317<\/td>\n5.959<\/td>\n<\/tr>\n
7<\/td>\n0.263<\/td>\n0.549<\/td>\n0.896<\/td>\n1.119<\/td>\n1.415<\/td>\n1.895<\/td>\n2.365<\/td>\n2.998<\/td>\n3.203<\/td>\n3.499<\/td>\n4.029<\/td>\n5.408<\/td>\n<\/tr>\n
8<\/td>\n0.262<\/td>\n0.546<\/td>\n0.889<\/td>\n1.108<\/td>\n1.397<\/td>\n1.860<\/td>\n2.306<\/td>\n2.896<\/td>\n3.085<\/td>\n3.355<\/td>\n3.833<\/td>\n5.041<\/td>\n<\/tr>\n
9<\/td>\n0.261<\/td>\n0.543<\/td>\n0.883<\/td>\n1.100<\/td>\n1.383<\/td>\n1.833<\/td>\n2.262<\/td>\n2.821<\/td>\n2.998<\/td>\n3.250<\/td>\n3.690<\/td>\n4.781<\/td>\n<\/tr>\n
10<\/td>\n0.260<\/td>\n0.542<\/td>\n0.879<\/td>\n1.093<\/td>\n1.372<\/td>\n1.812<\/td>\n2.228<\/td>\n2.764<\/td>\n2.932<\/td>\n3.169<\/td>\n3.581<\/td>\n4.587<\/td>\n<\/tr>\n
11<\/td>\n0.260<\/td>\n0.540<\/td>\n0.876<\/td>\n1.088<\/td>\n1.363<\/td>\n1.796<\/td>\n2.201<\/td>\n2.718<\/td>\n2.879<\/td>\n3.106<\/td>\n3.497<\/td>\n4.437<\/td>\n<\/tr>\n
12<\/td>\n0.259<\/td>\n0.539<\/td>\n0.873<\/td>\n1.083<\/td>\n1.356<\/td>\n1.782<\/td>\n2.179<\/td>\n2.681<\/td>\n2.836<\/td>\n3.055<\/td>\n3.428<\/td>\n4.318<\/td>\n<\/tr>\n
13<\/td>\n0.259<\/td>\n0.538<\/td>\n0.870<\/td>\n1.079<\/td>\n1.350<\/td>\n1.771<\/td>\n2.160<\/td>\n2.650<\/td>\n2.801<\/td>\n3.012<\/td>\n3.372<\/td>\n4.221<\/td>\n<\/tr>\n
14<\/td>\n0.258<\/td>\n0.537<\/td>\n0.868<\/td>\n1.076<\/td>\n1.345<\/td>\n1.761<\/td>\n2.145<\/td>\n2.624<\/td>\n2.771<\/td>\n2.977<\/td>\n3.326<\/td>\n4.140<\/td>\n<\/tr>\n
15<\/td>\n0.258<\/td>\n0.536<\/td>\n0.866<\/td>\n1.074<\/td>\n1.341<\/td>\n1.753<\/td>\n2.131<\/td>\n2.602<\/td>\n2.746<\/td>\n2.947<\/td>\n3.286<\/td>\n4.073<\/td>\n<\/tr>\n
16<\/td>\n0.258<\/td>\n0.535<\/td>\n0.865<\/td>\n1.071<\/td>\n1.337<\/td>\n1.746<\/td>\n2.120<\/td>\n2.583<\/td>\n2.724<\/td>\n2.921<\/td>\n3.252<\/td>\n4.015<\/td>\n<\/tr>\n
17<\/td>\n0.257<\/td>\n0.534<\/td>\n0.863<\/td>\n1.069<\/td>\n1.333<\/td>\n1.740<\/td>\n2.110<\/td>\n2.567<\/td>\n2.706<\/td>\n2.898<\/td>\n3.222<\/td>\n3.965<\/td>\n<\/tr>\n
18<\/td>\n0.257<\/td>\n0.534<\/td>\n0.862<\/td>\n1.067<\/td>\n1.330<\/td>\n1.734<\/td>\n2.101<\/td>\n2.552<\/td>\n2.689<\/td>\n2.878<\/td>\n3.197<\/td>\n3.922<\/td>\n<\/tr>\n
19<\/td>\n0.257<\/td>\n0.533<\/td>\n0.861<\/td>\n1.066<\/td>\n1.328<\/td>\n1.729<\/td>\n2.093<\/td>\n2.539<\/td>\n2.674<\/td>\n2.861<\/td>\n3.174<\/td>\n3.883<\/td>\n<\/tr>\n
20<\/td>\n0.257<\/td>\n0.533<\/td>\n0.860<\/td>\n1.064<\/td>\n1.325<\/td>\n1.725<\/td>\n2.086<\/td>\n2.528<\/td>\n2.661<\/td>\n2.845<\/td>\n3.153<\/td>\n3.850<\/td>\n<\/tr>\n
21<\/td>\n0.257<\/td>\n0.532<\/td>\n0.859<\/td>\n1.063<\/td>\n1.323<\/td>\n1.721<\/td>\n2.080<\/td>\n2.518<\/td>\n2.649<\/td>\n2.831<\/td>\n3.135<\/td>\n3.819<\/td>\n<\/tr>\n
22<\/td>\n0.256<\/td>\n0.532<\/td>\n0.858<\/td>\n1.061<\/td>\n1.321<\/td>\n1.717<\/td>\n2.074<\/td>\n2.508<\/td>\n2.639<\/td>\n2.819<\/td>\n3.119<\/td>\n3.792<\/td>\n<\/tr>\n
23<\/td>\n0.256<\/td>\n0.532<\/td>\n0.858<\/td>\n1.060<\/td>\n1.319<\/td>\n1.714<\/td>\n2.069<\/td>\n2.500<\/td>\n2.629<\/td>\n2.807<\/td>\n3.104<\/td>\n3.768<\/td>\n<\/tr>\n
24<\/td>\n0.256<\/td>\n0.531<\/td>\n0.857<\/td>\n1.059<\/td>\n1.318<\/td>\n1.711<\/td>\n2.064<\/td>\n2.492<\/td>\n2.620<\/td>\n2.797<\/td>\n3.091<\/td>\n3.745<\/td>\n<\/tr>\n
25<\/td>\n0.256<\/td>\n0.531<\/td>\n0.856<\/td>\n1.058<\/td>\n1.316<\/td>\n1.708<\/td>\n2.060<\/td>\n2.485<\/td>\n2.612<\/td>\n2.787<\/td>\n3.078<\/td>\n3.725<\/td>\n<\/tr>\n
26<\/td>\n0.256<\/td>\n0.531<\/td>\n0.856<\/td>\n1.058<\/td>\n1.315<\/td>\n1.706<\/td>\n2.056<\/td>\n2.479<\/td>\n2.605<\/td>\n2.779<\/td>\n3.067<\/td>\n3.707<\/td>\n<\/tr>\n
27<\/td>\n0.256<\/td>\n0.531<\/td>\n0.855<\/td>\n1.057<\/td>\n1.314<\/td>\n1.703<\/td>\n2.052<\/td>\n2.473<\/td>\n2.598<\/td>\n2.771<\/td>\n3.057<\/td>\n3.690<\/td>\n<\/tr>\n
28<\/td>\n0.256<\/td>\n0.530<\/td>\n0.855<\/td>\n1.056<\/td>\n1.313<\/td>\n1.701<\/td>\n2.048<\/td>\n2.467<\/td>\n2.592<\/td>\n2.763<\/td>\n3.047<\/td>\n3.674<\/td>\n<\/tr>\n
29<\/td>\n0.256<\/td>\n0.530<\/td>\n0.854<\/td>\n1.055<\/td>\n1.311<\/td>\n1.699<\/td>\n2.045<\/td>\n2.462<\/td>\n2.586<\/td>\n2.756<\/td>\n3.038<\/td>\n3.659<\/td>\n<\/tr>\n
30<\/td>\n0.256<\/td>\n0.530<\/td>\n0.854<\/td>\n1.055<\/td>\n1.310<\/td>\n1.697<\/td>\n2.042<\/td>\n2.457<\/td>\n2.581<\/td>\n2.750<\/td>\n3.030<\/td>\n3.646<\/td>\n<\/tr>\n
31<\/td>\n0.256<\/td>\n0.530<\/td>\n0.853<\/td>\n1.054<\/td>\n1.309<\/td>\n1.696<\/td>\n2.040<\/td>\n2.453<\/td>\n2.576<\/td>\n2.744<\/td>\n3.022<\/td>\n3.633<\/td>\n<\/tr>\n
32<\/td>\n0.255<\/td>\n0.530<\/td>\n0.853<\/td>\n1.054<\/td>\n1.309<\/td>\n1.694<\/td>\n2.037<\/td>\n2.449<\/td>\n2.571<\/td>\n2.738<\/td>\n3.015<\/td>\n3.622<\/td>\n<\/tr>\n
33<\/td>\n0.255<\/td>\n0.530<\/td>\n0.853<\/td>\n1.053<\/td>\n1.308<\/td>\n1.692<\/td>\n2.035<\/td>\n2.445<\/td>\n2.566<\/td>\n2.733<\/td>\n3.008<\/td>\n3.611<\/td>\n<\/tr>\n
34<\/td>\n0.255<\/td>\n0.529<\/td>\n0.852<\/td>\n1.052<\/td>\n1.307<\/td>\n1.691<\/td>\n2.032<\/td>\n2.441<\/td>\n2.562<\/td>\n2.728<\/td>\n3.002<\/td>\n3.601<\/td>\n<\/tr>\n
35<\/td>\n0.255<\/td>\n0.529<\/td>\n0.852<\/td>\n1.052<\/td>\n1.306<\/td>\n1.690<\/td>\n2.030<\/td>\n2.438<\/td>\n2.558<\/td>\n2.724<\/td>\n2.996<\/td>\n3.591<\/td>\n<\/tr>\n
36<\/td>\n0.255<\/td>\n0.529<\/td>\n0.852<\/td>\n1.052<\/td>\n1.306<\/td>\n1.688<\/td>\n2.028<\/td>\n2.434<\/td>\n2.555<\/td>\n2.719<\/td>\n2.990<\/td>\n3.582<\/td>\n<\/tr>\n
37<\/td>\n0.255<\/td>\n0.529<\/td>\n0.851<\/td>\n1.051<\/td>\n1.305<\/td>\n1.687<\/td>\n2.026<\/td>\n2.431<\/td>\n2.551<\/td>\n2.715<\/td>\n2.985<\/td>\n3.574<\/td>\n<\/tr>\n
38<\/td>\n0.255<\/td>\n0.529<\/td>\n0.851<\/td>\n1.051<\/td>\n1.304<\/td>\n1.686<\/td>\n2.024<\/td>\n2.429<\/td>\n2.548<\/td>\n2.712<\/td>\n2.980<\/td>\n3.566<\/td>\n<\/tr>\n
39<\/td>\n0.255<\/td>\n0.529<\/td>\n0.851<\/td>\n1.050<\/td>\n1.304<\/td>\n1.685<\/td>\n2.023<\/td>\n2.426<\/td>\n2.545<\/td>\n2.708<\/td>\n2.976<\/td>\n3.558<\/td>\n<\/tr>\n
40<\/td>\n0.255<\/td>\n0.529<\/td>\n0.851<\/td>\n1.050<\/td>\n1.303<\/td>\n1.684<\/td>\n2.021<\/td>\n2.423<\/td>\n2.542<\/td>\n2.704<\/td>\n2.971<\/td>\n3.551<\/td>\n<\/tr>\n
41<\/td>\n0.255<\/td>\n0.529<\/td>\n0.850<\/td>\n1.050<\/td>\n1.303<\/td>\n1.683<\/td>\n2.020<\/td>\n2.421<\/td>\n2.539<\/td>\n2.701<\/td>\n2.967<\/td>\n3.544<\/td>\n<\/tr>\n
42<\/td>\n0.255<\/td>\n0.528<\/td>\n0.850<\/td>\n1.049<\/td>\n1.302<\/td>\n1.682<\/td>\n2.018<\/td>\n2.418<\/td>\n2.537<\/td>\n2.698<\/td>\n2.963<\/td>\n3.538<\/td>\n<\/tr>\n
43<\/td>\n0.255<\/td>\n0.528<\/td>\n0.850<\/td>\n1.049<\/td>\n1.302<\/td>\n1.681<\/td>\n2.017<\/td>\n2.416<\/td>\n2.534<\/td>\n2.695<\/td>\n2.959<\/td>\n3.532<\/td>\n<\/tr>\n
44<\/td>\n0.255<\/td>\n0.528<\/td>\n0.850<\/td>\n1.049<\/td>\n1.301<\/td>\n1.680<\/td>\n2.015<\/td>\n2.414<\/td>\n2.532<\/td>\n2.692<\/td>\n2.956<\/td>\n3.526<\/td>\n<\/tr>\n
45<\/td>\n0.255<\/td>\n0.528<\/td>\n0.850<\/td>\n1.049<\/td>\n1.301<\/td>\n1.679<\/td>\n2.014<\/td>\n2.412<\/td>\n2.529<\/td>\n2.690<\/td>\n2.952<\/td>\n3.520<\/td>\n<\/tr>\n
46<\/td>\n0.255<\/td>\n0.528<\/td>\n0.850<\/td>\n1.048<\/td>\n1.300<\/td>\n1.679<\/td>\n2.013<\/td>\n2.410<\/td>\n2.527<\/td>\n2.687<\/td>\n2.949<\/td>\n3.515<\/td>\n<\/tr>\n
47<\/td>\n0.255<\/td>\n0.528<\/td>\n0.849<\/td>\n1.048<\/td>\n1.300<\/td>\n1.678<\/td>\n2.012<\/td>\n2.408<\/td>\n2.525<\/td>\n2.685<\/td>\n2.946<\/td>\n3.510<\/td>\n<\/tr>\n
48<\/td>\n0.255<\/td>\n0.528<\/td>\n0.849<\/td>\n1.048<\/td>\n1.299<\/td>\n1.677<\/td>\n2.011<\/td>\n2.407<\/td>\n2.523<\/td>\n2.682<\/td>\n2.943<\/td>\n3.505<\/td>\n<\/tr>\n
49<\/td>\n0.255<\/td>\n0.528<\/td>\n0.849<\/td>\n1.048<\/td>\n1.299<\/td>\n1.677<\/td>\n2.010<\/td>\n2.405<\/td>\n2.521<\/td>\n2.680<\/td>\n2.940<\/td>\n3.500<\/td>\n<\/tr>\n
50<\/td>\n0.255<\/td>\n0.528<\/td>\n0.849<\/td>\n1.047<\/td>\n1.299<\/td>\n1.676<\/td>\n2.009<\/td>\n2.403<\/td>\n2.519<\/td>\n2.678<\/td>\n2.937<\/td>\n3.496<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n[latex]\\alpha[\/latex]: Area to the Right of [latex]t_{\\alpha}[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
[latex]df[\/latex]<\/td>\n0.40<\/td>\n0.30<\/td>\n0.20<\/td>\n0.15<\/td>\n0.10<\/td>\n0.05<\/td>\n0.025<\/td>\n0.010<\/td>\n0.0075<\/td>\n0.0050<\/td>\n0.0025<\/td>\n0.0005<\/td>\n<\/tr>\n
51<\/td>\n0.255<\/td>\n0.528<\/td>\n0.849<\/td>\n1.047<\/td>\n1.298<\/td>\n1.675<\/td>\n2.008<\/td>\n2.402<\/td>\n2.518<\/td>\n2.676<\/td>\n2.934<\/td>\n3.492<\/td>\n<\/tr>\n
52<\/td>\n0.255<\/td>\n0.528<\/td>\n0.849<\/td>\n1.047<\/td>\n1.298<\/td>\n1.675<\/td>\n2.007<\/td>\n2.400<\/td>\n2.516<\/td>\n2.674<\/td>\n2.932<\/td>\n3.488<\/td>\n<\/tr>\n
53<\/td>\n0.255<\/td>\n0.528<\/td>\n0.848<\/td>\n1.047<\/td>\n1.298<\/td>\n1.674<\/td>\n2.006<\/td>\n2.399<\/td>\n2.514<\/td>\n2.672<\/td>\n2.929<\/td>\n3.484<\/td>\n<\/tr>\n
54<\/td>\n0.255<\/td>\n0.528<\/td>\n0.848<\/td>\n1.046<\/td>\n1.297<\/td>\n1.674<\/td>\n2.005<\/td>\n2.397<\/td>\n2.513<\/td>\n2.670<\/td>\n2.927<\/td>\n3.480<\/td>\n<\/tr>\n
55<\/td>\n0.255<\/td>\n0.527<\/td>\n0.848<\/td>\n1.046<\/td>\n1.297<\/td>\n1.673<\/td>\n2.004<\/td>\n2.396<\/td>\n2.511<\/td>\n2.668<\/td>\n2.925<\/td>\n3.476<\/td>\n<\/tr>\n
56<\/td>\n0.255<\/td>\n0.527<\/td>\n0.848<\/td>\n1.046<\/td>\n1.297<\/td>\n1.673<\/td>\n2.003<\/td>\n2.395<\/td>\n2.510<\/td>\n2.667<\/td>\n2.923<\/td>\n3.473<\/td>\n<\/tr>\n
57<\/td>\n0.255<\/td>\n0.527<\/td>\n0.848<\/td>\n1.046<\/td>\n1.297<\/td>\n1.672<\/td>\n2.002<\/td>\n2.394<\/td>\n2.508<\/td>\n2.665<\/td>\n2.920<\/td>\n3.470<\/td>\n<\/tr>\n
58<\/td>\n0.255<\/td>\n0.527<\/td>\n0.848<\/td>\n1.046<\/td>\n1.296<\/td>\n1.672<\/td>\n2.002<\/td>\n2.392<\/td>\n2.507<\/td>\n2.663<\/td>\n2.918<\/td>\n3.466<\/td>\n<\/tr>\n
59<\/td>\n0.254<\/td>\n0.527<\/td>\n0.848<\/td>\n1.046<\/td>\n1.296<\/td>\n1.671<\/td>\n2.001<\/td>\n2.391<\/td>\n2.506<\/td>\n2.662<\/td>\n2.916<\/td>\n3.463<\/td>\n<\/tr>\n
60<\/td>\n0.254<\/td>\n0.527<\/td>\n0.848<\/td>\n1.045<\/td>\n1.296<\/td>\n1.671<\/td>\n2.000<\/td>\n2.390<\/td>\n2.504<\/td>\n2.660<\/td>\n2.915<\/td>\n3.460<\/td>\n<\/tr>\n
61<\/td>\n0.254<\/td>\n0.527<\/td>\n0.848<\/td>\n1.045<\/td>\n1.296<\/td>\n1.670<\/td>\n2.000<\/td>\n2.389<\/td>\n2.503<\/td>\n2.659<\/td>\n2.913<\/td>\n3.457<\/td>\n<\/tr>\n
62<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.045<\/td>\n1.295<\/td>\n1.670<\/td>\n1.999<\/td>\n2.388<\/td>\n2.502<\/td>\n2.657<\/td>\n2.911<\/td>\n3.454<\/td>\n<\/tr>\n
63<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.045<\/td>\n1.295<\/td>\n1.669<\/td>\n1.998<\/td>\n2.387<\/td>\n2.501<\/td>\n2.656<\/td>\n2.909<\/td>\n3.452<\/td>\n<\/tr>\n
64<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.045<\/td>\n1.295<\/td>\n1.669<\/td>\n1.998<\/td>\n2.386<\/td>\n2.500<\/td>\n2.655<\/td>\n2.908<\/td>\n3.449<\/td>\n<\/tr>\n
65<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.045<\/td>\n1.295<\/td>\n1.669<\/td>\n1.997<\/td>\n2.385<\/td>\n2.499<\/td>\n2.654<\/td>\n2.906<\/td>\n3.447<\/td>\n<\/tr>\n
66<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.045<\/td>\n1.295<\/td>\n1.668<\/td>\n1.997<\/td>\n2.384<\/td>\n2.498<\/td>\n2.652<\/td>\n2.904<\/td>\n3.444<\/td>\n<\/tr>\n
67<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.045<\/td>\n1.294<\/td>\n1.668<\/td>\n1.996<\/td>\n2.383<\/td>\n2.497<\/td>\n2.651<\/td>\n2.903<\/td>\n3.442<\/td>\n<\/tr>\n
68<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.044<\/td>\n1.294<\/td>\n1.668<\/td>\n1.995<\/td>\n2.382<\/td>\n2.496<\/td>\n2.650<\/td>\n2.902<\/td>\n3.439<\/td>\n<\/tr>\n
69<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.044<\/td>\n1.294<\/td>\n1.667<\/td>\n1.995<\/td>\n2.382<\/td>\n2.495<\/td>\n2.649<\/td>\n2.900<\/td>\n3.437<\/td>\n<\/tr>\n
70<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.044<\/td>\n1.294<\/td>\n1.667<\/td>\n1.994<\/td>\n2.381<\/td>\n2.494<\/td>\n2.648<\/td>\n2.899<\/td>\n3.435<\/td>\n<\/tr>\n
71<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.044<\/td>\n1.294<\/td>\n1.667<\/td>\n1.994<\/td>\n2.380<\/td>\n2.493<\/td>\n2.647<\/td>\n2.897<\/td>\n3.433<\/td>\n<\/tr>\n
72<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.044<\/td>\n1.293<\/td>\n1.666<\/td>\n1.993<\/td>\n2.379<\/td>\n2.492<\/td>\n2.646<\/td>\n2.896<\/td>\n3.431<\/td>\n<\/tr>\n
73<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.044<\/td>\n1.293<\/td>\n1.666<\/td>\n1.993<\/td>\n2.379<\/td>\n2.491<\/td>\n2.645<\/td>\n2.895<\/td>\n3.429<\/td>\n<\/tr>\n
74<\/td>\n0.254<\/td>\n0.527<\/td>\n0.847<\/td>\n1.044<\/td>\n1.293<\/td>\n1.666<\/td>\n1.993<\/td>\n2.378<\/td>\n2.490<\/td>\n2.644<\/td>\n2.894<\/td>\n3.427<\/td>\n<\/tr>\n
75<\/td>\n0.254<\/td>\n0.527<\/td>\n0.846<\/td>\n1.044<\/td>\n1.293<\/td>\n1.665<\/td>\n1.992<\/td>\n2.377<\/td>\n2.490<\/td>\n2.643<\/td>\n2.892<\/td>\n3.425<\/td>\n<\/tr>\n
76<\/td>\n0.254<\/td>\n0.527<\/td>\n0.846<\/td>\n1.044<\/td>\n1.293<\/td>\n1.665<\/td>\n1.992<\/td>\n2.376<\/td>\n2.489<\/td>\n2.642<\/td>\n2.891<\/td>\n3.423<\/td>\n<\/tr>\n
77<\/td>\n0.254<\/td>\n0.527<\/td>\n0.846<\/td>\n1.043<\/td>\n1.293<\/td>\n1.665<\/td>\n1.991<\/td>\n2.376<\/td>\n2.488<\/td>\n2.641<\/td>\n2.890<\/td>\n3.421<\/td>\n<\/tr>\n
78<\/td>\n0.254<\/td>\n0.527<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.665<\/td>\n1.991<\/td>\n2.375<\/td>\n2.487<\/td>\n2.640<\/td>\n2.889<\/td>\n3.420<\/td>\n<\/tr>\n
79<\/td>\n0.254<\/td>\n0.527<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.664<\/td>\n1.990<\/td>\n2.374<\/td>\n2.487<\/td>\n2.640<\/td>\n2.888<\/td>\n3.418<\/td>\n<\/tr>\n
80<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.664<\/td>\n1.990<\/td>\n2.374<\/td>\n2.486<\/td>\n2.639<\/td>\n2.887<\/td>\n3.416<\/td>\n<\/tr>\n
81<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.664<\/td>\n1.990<\/td>\n2.373<\/td>\n2.485<\/td>\n2.638<\/td>\n2.886<\/td>\n3.415<\/td>\n<\/tr>\n
82<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.664<\/td>\n1.989<\/td>\n2.373<\/td>\n2.485<\/td>\n2.637<\/td>\n2.885<\/td>\n3.413<\/td>\n<\/tr>\n
83<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.663<\/td>\n1.989<\/td>\n2.372<\/td>\n2.484<\/td>\n2.636<\/td>\n2.884<\/td>\n3.412<\/td>\n<\/tr>\n
84<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.663<\/td>\n1.989<\/td>\n2.372<\/td>\n2.483<\/td>\n2.636<\/td>\n2.883<\/td>\n3.410<\/td>\n<\/tr>\n
85<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.292<\/td>\n1.663<\/td>\n1.988<\/td>\n2.371<\/td>\n2.483<\/td>\n2.635<\/td>\n2.882<\/td>\n3.409<\/td>\n<\/tr>\n
86<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.291<\/td>\n1.663<\/td>\n1.988<\/td>\n2.370<\/td>\n2.482<\/td>\n2.634<\/td>\n2.881<\/td>\n3.407<\/td>\n<\/tr>\n
87<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.291<\/td>\n1.663<\/td>\n1.988<\/td>\n2.370<\/td>\n2.482<\/td>\n2.634<\/td>\n2.880<\/td>\n3.406<\/td>\n<\/tr>\n
88<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.291<\/td>\n1.662<\/td>\n1.987<\/td>\n2.369<\/td>\n2.481<\/td>\n2.633<\/td>\n2.880<\/td>\n3.405<\/td>\n<\/tr>\n
89<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.043<\/td>\n1.291<\/td>\n1.662<\/td>\n1.987<\/td>\n2.369<\/td>\n2.481<\/td>\n2.632<\/td>\n2.879<\/td>\n3.403<\/td>\n<\/tr>\n
90<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.042<\/td>\n1.291<\/td>\n1.662<\/td>\n1.987<\/td>\n2.368<\/td>\n2.480<\/td>\n2.632<\/td>\n2.878<\/td>\n3.402<\/td>\n<\/tr>\n
91<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.042<\/td>\n1.291<\/td>\n1.662<\/td>\n1.986<\/td>\n2.368<\/td>\n2.479<\/td>\n2.631<\/td>\n2.877<\/td>\n3.401<\/td>\n<\/tr>\n
92<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.042<\/td>\n1.291<\/td>\n1.662<\/td>\n1.986<\/td>\n2.368<\/td>\n2.479<\/td>\n2.630<\/td>\n2.876<\/td>\n3.399<\/td>\n<\/tr>\n
93<\/td>\n0.254<\/td>\n0.526<\/td>\n0.846<\/td>\n1.042<\/td>\n1.291<\/td>\n1.661<\/td>\n1.986<\/td>\n2.367<\/td>\n2.478<\/td>\n2.630<\/td>\n2.876<\/td>\n3.398<\/td>\n<\/tr>\n
94<\/td>\n0.254<\/td>\n0.526<\/td>\n0.845<\/td>\n1.042<\/td>\n1.291<\/td>\n1.661<\/td>\n1.986<\/td>\n2.367<\/td>\n2.478<\/td>\n2.629<\/td>\n2.875<\/td>\n3.397<\/td>\n<\/tr>\n
95<\/td>\n0.254<\/td>\n0.526<\/td>\n0.845<\/td>\n1.042<\/td>\n1.291<\/td>\n1.661<\/td>\n1.985<\/td>\n2.366<\/td>\n2.477<\/td>\n2.629<\/td>\n2.874<\/td>\n3.396<\/td>\n<\/tr>\n
96<\/td>\n0.254<\/td>\n0.526<\/td>\n0.845<\/td>\n1.042<\/td>\n1.290<\/td>\n1.661<\/td>\n1.985<\/td>\n2.366<\/td>\n2.477<\/td>\n2.628<\/td>\n2.873<\/td>\n3.395<\/td>\n<\/tr>\n
97<\/td>\n0.254<\/td>\n0.526<\/td>\n0.845<\/td>\n1.042<\/td>\n1.290<\/td>\n1.661<\/td>\n1.985<\/td>\n2.365<\/td>\n2.476<\/td>\n2.627<\/td>\n2.873<\/td>\n3.394<\/td>\n<\/tr>\n
98<\/td>\n0.254<\/td>\n0.526<\/td>\n0.845<\/td>\n1.042<\/td>\n1.290<\/td>\n1.661<\/td>\n1.984<\/td>\n2.365<\/td>\n2.476<\/td>\n2.627<\/td>\n2.872<\/td>\n3.393<\/td>\n<\/tr>\n
99<\/td>\n0.254<\/td>\n0.526<\/td>\n0.845<\/td>\n1.042<\/td>\n1.290<\/td>\n1.660<\/td>\n1.984<\/td>\n2.365<\/td>\n2.476<\/td>\n2.626<\/td>\n2.871<\/td>\n3.392<\/td>\n<\/tr>\n
100<\/td>\n0.254<\/td>\n0.526<\/td>\n0.845<\/td>\n1.042<\/td>\n1.290<\/td>\n1.660<\/td>\n1.984<\/td>\n2.364<\/td>\n2.475<\/td>\n2.626<\/td>\n2.871<\/td>\n3.390<\/td>\n<\/tr>\n
200<\/td>\n0.254<\/td>\n0.525<\/td>\n0.843<\/td>\n1.039<\/td>\n1.286<\/td>\n1.653<\/td>\n1.972<\/td>\n2.345<\/td>\n2.454<\/td>\n2.601<\/td>\n2.839<\/td>\n3.340<\/td>\n<\/tr>\n
400<\/td>\n0.254<\/td>\n0.525<\/td>\n0.843<\/td>\n1.038<\/td>\n1.284<\/td>\n1.649<\/td>\n1.966<\/td>\n2.336<\/td>\n2.443<\/td>\n2.588<\/td>\n2.823<\/td>\n3.315<\/td>\n<\/tr>\n
1000<\/td>\n0.253<\/td>\n0.525<\/td>\n0.842<\/td>\n1.037<\/td>\n1.282<\/td>\n1.646<\/td>\n1.962<\/td>\n2.330<\/td>\n2.437<\/td>\n2.581<\/td>\n2.813<\/td>\n3.300<\/td>\n<\/tr>\n
[latex]\\infty[\/latex]<\/td>\n0.253<\/td>\n0.524<\/td>\n0.842<\/td>\n1.036<\/td>\n1.282<\/td>\n1.645<\/td>\n1.960<\/td>\n2.326<\/td>\n2.432<\/td>\n2.576<\/td>\n2.807<\/td>\n3.291<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Table V: Values of [latex]\\chi^2_{\\alpha}[\/latex] of [latex]\\chi^2[\/latex]-distribution<\/h2>\n

\"\"<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n[latex]\\alpha[\/latex]: Area to the Right of [latex]\\chi^2_{\\alpha}[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
[latex]df[\/latex]<\/td>\n0.995<\/td>\n0.990<\/td>\n0.975<\/td>\n0.950<\/td>\n0.900<\/td>\n0.100<\/td>\n0.050<\/td>\n0.025<\/td>\n0.010<\/td>\n0.005<\/td>\n<\/tr>\n
1<\/td>\n[latex]0.0^4393[\/latex]<\/td>\n[latex]0.0^3157[\/latex]<\/td>\n[latex]0.0^3982[\/latex]<\/td>\n[latex]0.0^2393[\/latex]<\/td>\n0.016<\/td>\n2.706<\/td>\n3.841<\/td>\n5.024<\/td>\n6.635<\/td>\n7.879<\/td>\n<\/tr>\n
2<\/td>\n0.010<\/td>\n0.020<\/td>\n0.051<\/td>\n0.103<\/td>\n0.211<\/td>\n4.605<\/td>\n5.991<\/td>\n7.378<\/td>\n9.210<\/td>\n10.597<\/td>\n<\/tr>\n
3<\/td>\n0.072<\/td>\n0.115<\/td>\n0.216<\/td>\n0.352<\/td>\n0.584<\/td>\n6.251<\/td>\n7.815<\/td>\n9.348<\/td>\n11.345<\/td>\n12.838<\/td>\n<\/tr>\n
4<\/td>\n0.207<\/td>\n0.297<\/td>\n0.484<\/td>\n0.711<\/td>\n1.064<\/td>\n7.779<\/td>\n9.488<\/td>\n11.143<\/td>\n13.277<\/td>\n14.860<\/td>\n<\/tr>\n
5<\/td>\n0.412<\/td>\n0.554<\/td>\n0.831<\/td>\n1.145<\/td>\n1.610<\/td>\n9.236<\/td>\n11.070<\/td>\n12.833<\/td>\n15.086<\/td>\n16.750<\/td>\n<\/tr>\n
6<\/td>\n0.676<\/td>\n0.872<\/td>\n1.237<\/td>\n1.635<\/td>\n2.204<\/td>\n10.645<\/td>\n12.592<\/td>\n14.449<\/td>\n16.812<\/td>\n18.548<\/td>\n<\/tr>\n
7<\/td>\n0.989<\/td>\n1.239<\/td>\n1.690<\/td>\n2.167<\/td>\n2.833<\/td>\n12.017<\/td>\n14.067<\/td>\n16.013<\/td>\n18.475<\/td>\n20.278<\/td>\n<\/tr>\n
8<\/td>\n1.344<\/td>\n1.646<\/td>\n2.180<\/td>\n2.733<\/td>\n3.490<\/td>\n13.362<\/td>\n15.507<\/td>\n17.535<\/td>\n20.090<\/td>\n21.955<\/td>\n<\/tr>\n
9<\/td>\n1.735<\/td>\n2.088<\/td>\n2.700<\/td>\n3.325<\/td>\n4.168<\/td>\n14.684<\/td>\n16.919<\/td>\n19.023<\/td>\n21.666<\/td>\n23.589<\/td>\n<\/tr>\n
10<\/td>\n2.156<\/td>\n2.558<\/td>\n3.247<\/td>\n3.940<\/td>\n4.865<\/td>\n15.987<\/td>\n18.307<\/td>\n20.483<\/td>\n23.209<\/td>\n25.188<\/td>\n<\/tr>\n
11<\/td>\n2.603<\/td>\n3.053<\/td>\n3.816<\/td>\n4.575<\/td>\n5.578<\/td>\n17.275<\/td>\n19.675<\/td>\n21.920<\/td>\n24.725<\/td>\n26.757<\/td>\n<\/tr>\n
12<\/td>\n3.074<\/td>\n3.571<\/td>\n4.404<\/td>\n5.226<\/td>\n6.304<\/td>\n18.549<\/td>\n21.026<\/td>\n23.337<\/td>\n26.217<\/td>\n28.300<\/td>\n<\/tr>\n
13<\/td>\n3.565<\/td>\n4.107<\/td>\n5.009<\/td>\n5.892<\/td>\n7.042<\/td>\n19.812<\/td>\n22.362<\/td>\n24.736<\/td>\n27.688<\/td>\n29.819<\/td>\n<\/tr>\n
14<\/td>\n4.075<\/td>\n4.660<\/td>\n5.629<\/td>\n6.571<\/td>\n7.790<\/td>\n21.064<\/td>\n23.685<\/td>\n26.119<\/td>\n29.141<\/td>\n31.319<\/td>\n<\/tr>\n
15<\/td>\n4.601<\/td>\n5.229<\/td>\n6.262<\/td>\n7.261<\/td>\n8.547<\/td>\n22.307<\/td>\n24.996<\/td>\n27.488<\/td>\n30.578<\/td>\n32.801<\/td>\n<\/tr>\n
16<\/td>\n5.142<\/td>\n5.812<\/td>\n6.908<\/td>\n7.962<\/td>\n9.312<\/td>\n23.542<\/td>\n26.296<\/td>\n28.845<\/td>\n32.000<\/td>\n34.267<\/td>\n<\/tr>\n
17<\/td>\n5.697<\/td>\n6.408<\/td>\n7.564<\/td>\n8.672<\/td>\n10.085<\/td>\n24.769<\/td>\n27.587<\/td>\n30.191<\/td>\n33.409<\/td>\n35.718<\/td>\n<\/tr>\n
18<\/td>\n6.265<\/td>\n7.015<\/td>\n8.231<\/td>\n9.390<\/td>\n10.865<\/td>\n25.989<\/td>\n28.869<\/td>\n31.526<\/td>\n34.805<\/td>\n37.156<\/td>\n<\/tr>\n
19<\/td>\n6.844<\/td>\n7.633<\/td>\n8.907<\/td>\n10.117<\/td>\n11.651<\/td>\n27.204<\/td>\n30.144<\/td>\n32.852<\/td>\n36.191<\/td>\n38.582<\/td>\n<\/tr>\n
20<\/td>\n7.434<\/td>\n8.260<\/td>\n9.591<\/td>\n10.851<\/td>\n12.443<\/td>\n28.412<\/td>\n31.410<\/td>\n34.170<\/td>\n37.566<\/td>\n39.997<\/td>\n<\/tr>\n
21<\/td>\n8.034<\/td>\n8.897<\/td>\n10.283<\/td>\n11.591<\/td>\n13.240<\/td>\n29.615<\/td>\n32.671<\/td>\n35.479<\/td>\n38.932<\/td>\n41.401<\/td>\n<\/tr>\n
22<\/td>\n8.643<\/td>\n9.542<\/td>\n10.982<\/td>\n12.338<\/td>\n14.041<\/td>\n30.813<\/td>\n33.924<\/td>\n36.781<\/td>\n40.289<\/td>\n42.796<\/td>\n<\/tr>\n
23<\/td>\n9.260<\/td>\n10.196<\/td>\n11.689<\/td>\n13.091<\/td>\n14.848<\/td>\n32.007<\/td>\n35.172<\/td>\n38.076<\/td>\n41.638<\/td>\n44.181<\/td>\n<\/tr>\n
24<\/td>\n9.886<\/td>\n10.856<\/td>\n12.401<\/td>\n13.848<\/td>\n15.659<\/td>\n33.196<\/td>\n36.415<\/td>\n39.364<\/td>\n42.980<\/td>\n45.559<\/td>\n<\/tr>\n
25<\/td>\n10.520<\/td>\n11.524<\/td>\n13.120<\/td>\n14.611<\/td>\n16.473<\/td>\n34.382<\/td>\n37.652<\/td>\n40.646<\/td>\n44.314<\/td>\n46.928<\/td>\n<\/tr>\n
26<\/td>\n11.160<\/td>\n12.198<\/td>\n13.844<\/td>\n15.379<\/td>\n17.292<\/td>\n35.563<\/td>\n38.885<\/td>\n41.923<\/td>\n45.642<\/td>\n48.290<\/td>\n<\/tr>\n
27<\/td>\n11.808<\/td>\n12.879<\/td>\n14.573<\/td>\n16.151<\/td>\n18.114<\/td>\n36.741<\/td>\n40.113<\/td>\n43.195<\/td>\n46.963<\/td>\n49.645<\/td>\n<\/tr>\n
28<\/td>\n12.461<\/td>\n13.565<\/td>\n15.308<\/td>\n16.928<\/td>\n18.939<\/td>\n37.916<\/td>\n41.337<\/td>\n44.461<\/td>\n48.278<\/td>\n50.993<\/td>\n<\/tr>\n
29<\/td>\n13.121<\/td>\n14.256<\/td>\n16.047<\/td>\n17.708<\/td>\n19.768<\/td>\n39.087<\/td>\n42.557<\/td>\n45.722<\/td>\n49.588<\/td>\n52.336<\/td>\n<\/tr>\n
30<\/td>\n13.787<\/td>\n14.953<\/td>\n16.791<\/td>\n18.493<\/td>\n20.599<\/td>\n40.256<\/td>\n43.773<\/td>\n46.979<\/td>\n50.892<\/td>\n53.672<\/td>\n<\/tr>\n
40<\/td>\n20.707<\/td>\n22.164<\/td>\n24.433<\/td>\n26.509<\/td>\n29.051<\/td>\n51.805<\/td>\n55.758<\/td>\n59.342<\/td>\n63.691<\/td>\n66.766<\/td>\n<\/tr>\n
50<\/td>\n27.991<\/td>\n29.707<\/td>\n32.357<\/td>\n34.764<\/td>\n37.689<\/td>\n63.167<\/td>\n67.505<\/td>\n71.420<\/td>\n76.154<\/td>\n79.490<\/td>\n<\/tr>\n
60<\/td>\n35.534<\/td>\n37.485<\/td>\n40.482<\/td>\n43.188<\/td>\n46.459<\/td>\n74.397<\/td>\n79.082<\/td>\n83.298<\/td>\n88.379<\/td>\n91.952<\/td>\n<\/tr>\n
70<\/td>\n43.275<\/td>\n45.442<\/td>\n48.758<\/td>\n51.739<\/td>\n55.329<\/td>\n85.527<\/td>\n90.531<\/td>\n95.023<\/td>\n100.425<\/td>\n104.215<\/td>\n<\/tr>\n
80<\/td>\n51.172<\/td>\n53.540<\/td>\n57.153<\/td>\n60.391<\/td>\n64.278<\/td>\n96.578<\/td>\n101.879<\/td>\n106.629<\/td>\n112.329<\/td>\n116.321<\/td>\n<\/tr>\n
90<\/td>\n59.196<\/td>\n61.754<\/td>\n65.647<\/td>\n69.126<\/td>\n73.291<\/td>\n107.565<\/td>\n113.145<\/td>\n118.136<\/td>\n124.116<\/td>\n128.299<\/td>\n<\/tr>\n
100<\/td>\n67.328<\/td>\n70.065<\/td>\n74.222<\/td>\n77.929<\/td>\n82.358<\/td>\n118.498<\/td>\n124.342<\/td>\n129.561<\/td>\n135.807<\/td>\n140.169<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Table VI: Values of [latex]F_{\\alpha}[\/latex] of [latex]F[\/latex]-distribution<\/h2>\n

\"\"<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n\n
[latex]df_n[\/latex]<\/div>\n<\/th>\n<\/tr>\n
[latex]\\alpha[\/latex]<\/th>\n1<\/th>\n2<\/th>\n3<\/th>\n4<\/th>\n5<\/th>\n6<\/th>\n7<\/th>\n8<\/th>\n9<\/th>\n10<\/th>\n<\/tr>\n<\/thead>\n
[latex]df_d=1[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.000<\/td>\n1.500<\/td>\n1.709<\/td>\n1.823<\/td>\n1.894<\/td>\n1.942<\/td>\n1.977<\/td>\n2.004<\/td>\n2.025<\/td>\n2.042<\/td>\n<\/tr>\n
0.1<\/td>\n39.9<\/td>\n49.5<\/td>\n53.6<\/td>\n55.8<\/td>\n57.2<\/td>\n58.2<\/td>\n58.9<\/td>\n59.4<\/td>\n59.9<\/td>\n60.2<\/td>\n<\/tr>\n
0.05<\/td>\n161<\/td>\n199<\/td>\n216<\/td>\n225<\/td>\n230<\/td>\n234<\/td>\n237<\/td>\n239<\/td>\n241<\/td>\n242<\/td>\n<\/tr>\n
0.025<\/td>\n648<\/td>\n799<\/td>\n864<\/td>\n900<\/td>\n922<\/td>\n937<\/td>\n948<\/td>\n957<\/td>\n963<\/td>\n969<\/td>\n<\/tr>\n
0.01<\/td>\n4052<\/td>\n4999<\/td>\n5403<\/td>\n5625<\/td>\n5764<\/td>\n5859<\/td>\n5928<\/td>\n5981<\/td>\n6022<\/td>\n6056<\/td>\n<\/tr>\n
0.005<\/td>\n16211<\/td>\n19999<\/td>\n21615<\/td>\n22500<\/td>\n23056<\/td>\n23437<\/td>\n23715<\/td>\n23925<\/td>\n24091<\/td>\n24224<\/td>\n<\/tr>\n
0.001<\/td>\n405284<\/td>\n499999<\/td>\n540379<\/td>\n562500<\/td>\n576405<\/td>\n585937<\/td>\n592873<\/td>\n598144<\/td>\n602284<\/td>\n605621<\/td>\n<\/tr>\n
[latex]df_d=2[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.667<\/td>\n1.000<\/td>\n1.135<\/td>\n1.207<\/td>\n1.252<\/td>\n1.282<\/td>\n1.305<\/td>\n1.321<\/td>\n1.334<\/td>\n1.345<\/td>\n<\/tr>\n
0.1<\/td>\n8.526<\/td>\n9.000<\/td>\n9.162<\/td>\n9.243<\/td>\n9.293<\/td>\n9.326<\/td>\n9.349<\/td>\n9.367<\/td>\n9.381<\/td>\n9.392<\/td>\n<\/tr>\n
0.05<\/td>\n18.51<\/td>\n19.00<\/td>\n19.16<\/td>\n19.25<\/td>\n19.30<\/td>\n19.33<\/td>\n19.35<\/td>\n19.37<\/td>\n19.38<\/td>\n19.40<\/td>\n<\/tr>\n
0.025<\/td>\n38.51<\/td>\n39.00<\/td>\n39.17<\/td>\n39.25<\/td>\n39.30<\/td>\n39.33<\/td>\n39.36<\/td>\n39.37<\/td>\n39.39<\/td>\n39.40<\/td>\n<\/tr>\n
0.01<\/td>\n98.50<\/td>\n99.00<\/td>\n99.17<\/td>\n99.25<\/td>\n99.30<\/td>\n99.33<\/td>\n99.36<\/td>\n99.37<\/td>\n99.39<\/td>\n99.40<\/td>\n<\/tr>\n
0.005<\/td>\n198.50<\/td>\n199.00<\/td>\n199.17<\/td>\n199.25<\/td>\n199.30<\/td>\n199.33<\/td>\n199.36<\/td>\n199.37<\/td>\n199.39<\/td>\n199.40<\/td>\n<\/tr>\n
0.001<\/td>\n998.50<\/td>\n999.00<\/td>\n999.17<\/td>\n999.25<\/td>\n999.30<\/td>\n999.33<\/td>\n999.36<\/td>\n999.37<\/td>\n999.39<\/td>\n999.40<\/td>\n<\/tr>\n
[latex]df_d=3[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.585<\/td>\n0.881<\/td>\n1.000<\/td>\n1.063<\/td>\n1.102<\/td>\n1.129<\/td>\n1.148<\/td>\n1.163<\/td>\n1.174<\/td>\n1.183<\/td>\n<\/tr>\n
0.1<\/td>\n5.538<\/td>\n5.462<\/td>\n5.391<\/td>\n5.343<\/td>\n5.309<\/td>\n5.285<\/td>\n5.266<\/td>\n5.252<\/td>\n5.240<\/td>\n5.230<\/td>\n<\/tr>\n
0.05<\/td>\n10.128<\/td>\n9.552<\/td>\n9.277<\/td>\n9.117<\/td>\n9.013<\/td>\n8.941<\/td>\n8.887<\/td>\n8.845<\/td>\n8.812<\/td>\n8.786<\/td>\n<\/tr>\n
0.025<\/td>\n17.44<\/td>\n16.04<\/td>\n15.44<\/td>\n15.10<\/td>\n14.88<\/td>\n14.73<\/td>\n14.62<\/td>\n14.54<\/td>\n14.47<\/td>\n14.42<\/td>\n<\/tr>\n
0.01<\/td>\n34.12<\/td>\n30.82<\/td>\n29.46<\/td>\n28.71<\/td>\n28.24<\/td>\n27.91<\/td>\n27.67<\/td>\n27.49<\/td>\n27.35<\/td>\n27.23<\/td>\n<\/tr>\n
0.005<\/td>\n55.6<\/td>\n49.8<\/td>\n47.5<\/td>\n46.2<\/td>\n45.4<\/td>\n44.8<\/td>\n44.4<\/td>\n44.1<\/td>\n43.9<\/td>\n43.7<\/td>\n<\/tr>\n
0.001<\/td>\n167.0<\/td>\n148.5<\/td>\n141.1<\/td>\n137.1<\/td>\n134.6<\/td>\n132.8<\/td>\n131.6<\/td>\n130.6<\/td>\n129.9<\/td>\n129.2<\/td>\n<\/tr>\n
[latex]df_d=4[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.549<\/td>\n0.828<\/td>\n0.941<\/td>\n1.000<\/td>\n1.037<\/td>\n1.062<\/td>\n1.080<\/td>\n1.093<\/td>\n1.104<\/td>\n1.113<\/td>\n<\/tr>\n
0.1<\/td>\n4.54<\/td>\n4.32<\/td>\n4.19<\/td>\n4.11<\/td>\n4.05<\/td>\n4.01<\/td>\n3.98<\/td>\n3.95<\/td>\n3.94<\/td>\n3.92<\/td>\n<\/tr>\n
0.05<\/td>\n7.71<\/td>\n6.94<\/td>\n6.59<\/td>\n6.39<\/td>\n6.26<\/td>\n6.16<\/td>\n6.09<\/td>\n6.04<\/td>\n6.00<\/td>\n5.96<\/td>\n<\/tr>\n
0.025<\/td>\n12.22<\/td>\n10.65<\/td>\n9.98<\/td>\n9.60<\/td>\n9.36<\/td>\n9.20<\/td>\n9.07<\/td>\n8.98<\/td>\n8.90<\/td>\n8.84<\/td>\n<\/tr>\n
0.01<\/td>\n21.2<\/td>\n18.0<\/td>\n16.7<\/td>\n16.0<\/td>\n15.5<\/td>\n15.2<\/td>\n15.0<\/td>\n14.8<\/td>\n14.7<\/td>\n14.5<\/td>\n<\/tr>\n
0.005<\/td>\n31.3<\/td>\n26.3<\/td>\n24.3<\/td>\n23.2<\/td>\n22.5<\/td>\n22.0<\/td>\n21.6<\/td>\n21.4<\/td>\n21.1<\/td>\n21.0<\/td>\n<\/tr>\n
0.001<\/td>\n74.1<\/td>\n61.2<\/td>\n56.2<\/td>\n53.4<\/td>\n51.7<\/td>\n50.5<\/td>\n49.7<\/td>\n49.0<\/td>\n48.5<\/td>\n48.1<\/td>\n<\/tr>\n
[latex]df_d=5[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.528<\/td>\n0.799<\/td>\n0.907<\/td>\n0.965<\/td>\n1.000<\/td>\n1.024<\/td>\n1.041<\/td>\n1.055<\/td>\n1.065<\/td>\n1.073<\/td>\n<\/tr>\n
0.1<\/td>\n4.06<\/td>\n3.78<\/td>\n3.62<\/td>\n3.52<\/td>\n3.45<\/td>\n3.40<\/td>\n3.37<\/td>\n3.34<\/td>\n3.32<\/td>\n3.30<\/td>\n<\/tr>\n
0.05<\/td>\n6.61<\/td>\n5.79<\/td>\n5.41<\/td>\n5.19<\/td>\n5.05<\/td>\n4.95<\/td>\n4.88<\/td>\n4.82<\/td>\n4.77<\/td>\n4.74<\/td>\n<\/tr>\n
0.025<\/td>\n10.01<\/td>\n8.43<\/td>\n7.76<\/td>\n7.39<\/td>\n7.15<\/td>\n6.98<\/td>\n6.85<\/td>\n6.76<\/td>\n6.68<\/td>\n6.62<\/td>\n<\/tr>\n
0.01<\/td>\n16.3<\/td>\n13.3<\/td>\n12.1<\/td>\n11.4<\/td>\n11.0<\/td>\n10.7<\/td>\n10.5<\/td>\n10.3<\/td>\n10.2<\/td>\n10.1<\/td>\n<\/tr>\n
0.005<\/td>\n22.8<\/td>\n18.3<\/td>\n16.5<\/td>\n15.6<\/td>\n14.9<\/td>\n14.5<\/td>\n14.2<\/td>\n14.0<\/td>\n13.8<\/td>\n13.6<\/td>\n<\/tr>\n
0.001<\/td>\n47.2<\/td>\n37.1<\/td>\n33.2<\/td>\n31.1<\/td>\n29.8<\/td>\n28.8<\/td>\n28.2<\/td>\n27.6<\/td>\n27.2<\/td>\n26.9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n\n
[latex]df_n[\/latex]<\/div>\n<\/th>\n<\/tr>\n
[latex]\\alpha[\/latex]<\/th>\n11<\/th>\n12<\/th>\n13<\/th>\n14<\/th>\n15<\/th>\n20<\/th>\n30<\/th>\n60<\/th>\n120<\/th>\n[latex]\\infty[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
[latex]df_d=1[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n2.06<\/td>\n2.07<\/td>\n2.08<\/td>\n2.09<\/td>\n2.09<\/td>\n2.12<\/td>\n2.15<\/td>\n2.17<\/td>\n2.18<\/td>\n2.20<\/td>\n<\/tr>\n
0.1<\/td>\n60.5<\/td>\n60.7<\/td>\n60.9<\/td>\n61.1<\/td>\n61.2<\/td>\n61.7<\/td>\n62.3<\/td>\n62.8<\/td>\n63.1<\/td>\n63.3<\/td>\n<\/tr>\n
0.05<\/td>\n243<\/td>\n244<\/td>\n245<\/td>\n245<\/td>\n246<\/td>\n248<\/td>\n250<\/td>\n252<\/td>\n253<\/td>\n254<\/td>\n<\/tr>\n
0.025<\/td>\n973<\/td>\n977<\/td>\n980<\/td>\n983<\/td>\n985<\/td>\n993<\/td>\n1001<\/td>\n1010<\/td>\n1014<\/td>\n1018<\/td>\n<\/tr>\n
0.01<\/td>\n6083<\/td>\n6106<\/td>\n6126<\/td>\n6143<\/td>\n6157<\/td>\n6209<\/td>\n6261<\/td>\n6313<\/td>\n6339<\/td>\n6366<\/td>\n<\/tr>\n
0.005<\/td>\n24334<\/td>\n24426<\/td>\n24505<\/td>\n24572<\/td>\n24630<\/td>\n24836<\/td>\n25044<\/td>\n25253<\/td>\n25359<\/td>\n25464<\/td>\n<\/tr>\n
0.001<\/td>\n608368<\/td>\n610668<\/td>\n612622<\/td>\n614303<\/td>\n615764<\/td>\n620908<\/td>\n626099<\/td>\n631337<\/td>\n633972<\/td>\n636619<\/td>\n<\/tr>\n
[latex]df_d=2[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.354<\/td>\n1.361<\/td>\n1.367<\/td>\n1.372<\/td>\n1.377<\/td>\n1.393<\/td>\n1.410<\/td>\n1.426<\/td>\n1.434<\/td>\n1.443<\/td>\n<\/tr>\n
0.1<\/td>\n9.401<\/td>\n9.408<\/td>\n9.415<\/td>\n9.420<\/td>\n9.425<\/td>\n9.441<\/td>\n9.458<\/td>\n9.475<\/td>\n9.483<\/td>\n9.491<\/td>\n<\/tr>\n
0.05<\/td>\n19.40<\/td>\n19.41<\/td>\n19.42<\/td>\n19.42<\/td>\n19.43<\/td>\n19.45<\/td>\n19.46<\/td>\n19.48<\/td>\n19.49<\/td>\n19.50<\/td>\n<\/tr>\n
0.025<\/td>\n39.41<\/td>\n39.41<\/td>\n39.42<\/td>\n39.43<\/td>\n39.43<\/td>\n39.45<\/td>\n39.46<\/td>\n39.48<\/td>\n39.49<\/td>\n39.50<\/td>\n<\/tr>\n
0.01<\/td>\n99.41<\/td>\n99.42<\/td>\n99.42<\/td>\n99.43<\/td>\n99.43<\/td>\n99.45<\/td>\n99.47<\/td>\n99.48<\/td>\n99.49<\/td>\n99.50<\/td>\n<\/tr>\n
0.005<\/td>\n199.41<\/td>\n199.42<\/td>\n199.42<\/td>\n199.43<\/td>\n199.43<\/td>\n199.45<\/td>\n199.47<\/td>\n199.48<\/td>\n199.49<\/td>\n199.50<\/td>\n<\/tr>\n
0.001<\/td>\n999.41<\/td>\n999.42<\/td>\n999.42<\/td>\n999.43<\/td>\n999.43<\/td>\n999.45<\/td>\n999.47<\/td>\n999.48<\/td>\n999.49<\/td>\n999.50<\/td>\n<\/tr>\n
[latex]df_d=3[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.191<\/td>\n1.197<\/td>\n1.203<\/td>\n1.207<\/td>\n1.211<\/td>\n1.225<\/td>\n1.239<\/td>\n1.254<\/td>\n1.261<\/td>\n1.268<\/td>\n<\/tr>\n
0.1<\/td>\n5.222<\/td>\n5.216<\/td>\n5.210<\/td>\n5.205<\/td>\n5.200<\/td>\n5.184<\/td>\n5.168<\/td>\n5.151<\/td>\n5.143<\/td>\n5.134<\/td>\n<\/tr>\n
0.05<\/td>\n8.763<\/td>\n8.745<\/td>\n8.729<\/td>\n8.715<\/td>\n8.703<\/td>\n8.660<\/td>\n8.617<\/td>\n8.572<\/td>\n8.549<\/td>\n8.526<\/td>\n<\/tr>\n
0.025<\/td>\n14.37<\/td>\n14.34<\/td>\n14.30<\/td>\n14.28<\/td>\n14.25<\/td>\n14.17<\/td>\n14.08<\/td>\n13.99<\/td>\n13.95<\/td>\n13.90<\/td>\n<\/tr>\n
0.01<\/td>\n27.13<\/td>\n27.05<\/td>\n26.98<\/td>\n26.92<\/td>\n26.87<\/td>\n26.69<\/td>\n26.50<\/td>\n26.32<\/td>\n26.22<\/td>\n26.13<\/td>\n<\/tr>\n
0.005<\/td>\n43.5<\/td>\n43.4<\/td>\n43.3<\/td>\n43.2<\/td>\n43.1<\/td>\n42.8<\/td>\n42.5<\/td>\n42.1<\/td>\n42.0<\/td>\n41.8<\/td>\n<\/tr>\n
0.001<\/td>\n128.7<\/td>\n128.3<\/td>\n128.0<\/td>\n127.6<\/td>\n127.4<\/td>\n126.4<\/td>\n125.4<\/td>\n124.5<\/td>\n124.0<\/td>\n123.5<\/td>\n<\/tr>\n
[latex]df_d=4[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.120<\/td>\n1.126<\/td>\n1.131<\/td>\n1.135<\/td>\n1.139<\/td>\n1.152<\/td>\n1.165<\/td>\n1.178<\/td>\n1.185<\/td>\n1.192<\/td>\n<\/tr>\n
0.1<\/td>\n3.91<\/td>\n3.90<\/td>\n3.89<\/td>\n3.88<\/td>\n3.87<\/td>\n3.84<\/td>\n3.82<\/td>\n3.79<\/td>\n3.78<\/td>\n3.76<\/td>\n<\/tr>\n
0.05<\/td>\n5.94<\/td>\n5.91<\/td>\n5.89<\/td>\n5.87<\/td>\n5.86<\/td>\n5.80<\/td>\n5.75<\/td>\n5.69<\/td>\n5.66<\/td>\n5.63<\/td>\n<\/tr>\n
0.025<\/td>\n8.79<\/td>\n8.75<\/td>\n8.71<\/td>\n8.68<\/td>\n8.66<\/td>\n8.56<\/td>\n8.46<\/td>\n8.36<\/td>\n8.31<\/td>\n8.26<\/td>\n<\/tr>\n
0.01<\/td>\n14.5<\/td>\n14.4<\/td>\n14.3<\/td>\n14.2<\/td>\n14.2<\/td>\n14.0<\/td>\n13.8<\/td>\n13.7<\/td>\n13.6<\/td>\n13.5<\/td>\n<\/tr>\n
0.005<\/td>\n20.8<\/td>\n20.7<\/td>\n20.6<\/td>\n20.5<\/td>\n20.4<\/td>\n20.2<\/td>\n19.9<\/td>\n19.6<\/td>\n19.5<\/td>\n19.3<\/td>\n<\/tr>\n
0.001<\/td>\n47.7<\/td>\n47.4<\/td>\n47.2<\/td>\n46.9<\/td>\n46.8<\/td>\n46.1<\/td>\n45.4<\/td>\n44.7<\/td>\n44.4<\/td>\n44.1<\/td>\n<\/tr>\n
[latex]df_d=5[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.080<\/td>\n1.085<\/td>\n1.090<\/td>\n1.094<\/td>\n1.098<\/td>\n1.111<\/td>\n1.123<\/td>\n1.136<\/td>\n1.143<\/td>\n1.149<\/td>\n<\/tr>\n
0.1<\/td>\n3.28<\/td>\n3.27<\/td>\n3.26<\/td>\n3.25<\/td>\n3.24<\/td>\n3.21<\/td>\n3.17<\/td>\n3.14<\/td>\n3.12<\/td>\n3.10<\/td>\n<\/tr>\n
0.05<\/td>\n4.70<\/td>\n4.68<\/td>\n4.66<\/td>\n4.64<\/td>\n4.62<\/td>\n4.56<\/td>\n4.50<\/td>\n4.43<\/td>\n4.40<\/td>\n4.36<\/td>\n<\/tr>\n
0.025<\/td>\n6.57<\/td>\n6.52<\/td>\n6.49<\/td>\n6.46<\/td>\n6.43<\/td>\n6.33<\/td>\n6.23<\/td>\n6.12<\/td>\n6.07<\/td>\n6.02<\/td>\n<\/tr>\n
0.01<\/td>\n10.0<\/td>\n9.9<\/td>\n9.8<\/td>\n9.8<\/td>\n9.7<\/td>\n9.6<\/td>\n9.4<\/td>\n9.2<\/td>\n9.1<\/td>\n9.0<\/td>\n<\/tr>\n
0.005<\/td>\n13.5<\/td>\n13.4<\/td>\n13.3<\/td>\n13.2<\/td>\n13.1<\/td>\n12.9<\/td>\n12.7<\/td>\n12.4<\/td>\n12.3<\/td>\n12.1<\/td>\n<\/tr>\n
0.001<\/td>\n26.6<\/td>\n26.4<\/td>\n26.2<\/td>\n26.1<\/td>\n25.9<\/td>\n25.4<\/td>\n24.9<\/td>\n24.3<\/td>\n24.1<\/td>\n23.8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n\n
[latex]df_n[\/latex]<\/div>\n<\/th>\n<\/tr>\n
[latex]\\alpha[\/latex]<\/th>\n1<\/th>\n2<\/th>\n3<\/th>\n4<\/th>\n5<\/th>\n6<\/th>\n7<\/th>\n8<\/th>\n9<\/th>\n10<\/th>\n<\/tr>\n<\/thead>\n
[latex]df_d=6[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.515<\/td>\n0.780<\/td>\n0.886<\/td>\n0.942<\/td>\n0.977<\/td>\n1.000<\/td>\n1.017<\/td>\n1.030<\/td>\n1.040<\/td>\n1.048<\/td>\n<\/tr>\n
0.1<\/td>\n3.776<\/td>\n3.463<\/td>\n3.289<\/td>\n3.181<\/td>\n3.108<\/td>\n3.055<\/td>\n3.014<\/td>\n2.983<\/td>\n2.958<\/td>\n2.937<\/td>\n<\/tr>\n
0.05<\/td>\n5.987<\/td>\n5.143<\/td>\n4.757<\/td>\n4.534<\/td>\n4.387<\/td>\n4.284<\/td>\n4.207<\/td>\n4.147<\/td>\n4.099<\/td>\n4.060<\/td>\n<\/tr>\n
0.025<\/td>\n8.813<\/td>\n7.260<\/td>\n6.599<\/td>\n6.227<\/td>\n5.988<\/td>\n5.820<\/td>\n5.695<\/td>\n5.600<\/td>\n5.523<\/td>\n5.461<\/td>\n<\/tr>\n
0.01<\/td>\n13.745<\/td>\n10.925<\/td>\n9.780<\/td>\n9.148<\/td>\n8.746<\/td>\n8.466<\/td>\n8.260<\/td>\n8.102<\/td>\n7.976<\/td>\n7.874<\/td>\n<\/tr>\n
0.005<\/td>\n18.635<\/td>\n14.544<\/td>\n12.917<\/td>\n12.028<\/td>\n11.464<\/td>\n11.073<\/td>\n10.786<\/td>\n10.566<\/td>\n10.391<\/td>\n10.250<\/td>\n<\/tr>\n
0.001<\/td>\n35.507<\/td>\n27.000<\/td>\n23.703<\/td>\n21.924<\/td>\n20.803<\/td>\n20.030<\/td>\n19.463<\/td>\n19.030<\/td>\n18.688<\/td>\n18.411<\/td>\n<\/tr>\n
[latex]df_d=7[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.506<\/td>\n0.767<\/td>\n0.871<\/td>\n0.926<\/td>\n0.960<\/td>\n0.983<\/td>\n1.000<\/td>\n1.013<\/td>\n1.022<\/td>\n1.030<\/td>\n<\/tr>\n
0.1<\/td>\n3.589<\/td>\n3.257<\/td>\n3.074<\/td>\n2.961<\/td>\n2.883<\/td>\n2.827<\/td>\n2.785<\/td>\n2.752<\/td>\n2.725<\/td>\n2.703<\/td>\n<\/tr>\n
0.05<\/td>\n5.591<\/td>\n4.737<\/td>\n4.347<\/td>\n4.120<\/td>\n3.972<\/td>\n3.866<\/td>\n3.787<\/td>\n3.726<\/td>\n3.677<\/td>\n3.637<\/td>\n<\/tr>\n
0.025<\/td>\n8.073<\/td>\n6.542<\/td>\n5.890<\/td>\n5.523<\/td>\n5.285<\/td>\n5.119<\/td>\n4.995<\/td>\n4.899<\/td>\n4.823<\/td>\n4.761<\/td>\n<\/tr>\n
0.01<\/td>\n12.246<\/td>\n9.547<\/td>\n8.451<\/td>\n7.847<\/td>\n7.460<\/td>\n7.191<\/td>\n6.993<\/td>\n6.840<\/td>\n6.719<\/td>\n6.620<\/td>\n<\/tr>\n
0.005<\/td>\n16.236<\/td>\n12.404<\/td>\n10.882<\/td>\n10.050<\/td>\n9.522<\/td>\n9.155<\/td>\n8.885<\/td>\n8.678<\/td>\n8.514<\/td>\n8.380<\/td>\n<\/tr>\n
0.001<\/td>\n29.245<\/td>\n21.689<\/td>\n18.772<\/td>\n17.198<\/td>\n16.206<\/td>\n15.521<\/td>\n15.019<\/td>\n14.634<\/td>\n14.330<\/td>\n14.083<\/td>\n<\/tr>\n
[latex]df_d=8[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.499<\/td>\n0.757<\/td>\n0.860<\/td>\n0.915<\/td>\n0.948<\/td>\n0.971<\/td>\n0.988<\/td>\n1.000<\/td>\n1.010<\/td>\n1.018<\/td>\n<\/tr>\n
0.1<\/td>\n3.458<\/td>\n3.113<\/td>\n2.924<\/td>\n2.806<\/td>\n2.726<\/td>\n2.668<\/td>\n2.624<\/td>\n2.589<\/td>\n2.561<\/td>\n2.538<\/td>\n<\/tr>\n
0.05<\/td>\n5.318<\/td>\n4.459<\/td>\n4.066<\/td>\n3.838<\/td>\n3.687<\/td>\n3.581<\/td>\n3.500<\/td>\n3.438<\/td>\n3.388<\/td>\n3.347<\/td>\n<\/tr>\n
0.025<\/td>\n7.571<\/td>\n6.059<\/td>\n5.416<\/td>\n5.053<\/td>\n4.817<\/td>\n4.652<\/td>\n4.529<\/td>\n4.433<\/td>\n4.357<\/td>\n4.295<\/td>\n<\/tr>\n
0.01<\/td>\n11.259<\/td>\n8.649<\/td>\n7.591<\/td>\n7.006<\/td>\n6.632<\/td>\n6.371<\/td>\n6.178<\/td>\n6.029<\/td>\n5.911<\/td>\n5.814<\/td>\n<\/tr>\n
0.005<\/td>\n14.688<\/td>\n11.042<\/td>\n9.596<\/td>\n8.805<\/td>\n8.302<\/td>\n7.952<\/td>\n7.694<\/td>\n7.496<\/td>\n7.339<\/td>\n7.211<\/td>\n<\/tr>\n
0.001<\/td>\n25.415<\/td>\n18.494<\/td>\n15.829<\/td>\n14.392<\/td>\n13.485<\/td>\n12.858<\/td>\n12.398<\/td>\n12.046<\/td>\n11.767<\/td>\n11.540<\/td>\n<\/tr>\n
[latex]df_d=9[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.494<\/td>\n0.749<\/td>\n0.852<\/td>\n0.906<\/td>\n0.939<\/td>\n0.962<\/td>\n0.978<\/td>\n0.990<\/td>\n1.000<\/td>\n1.008<\/td>\n<\/tr>\n
0.1<\/td>\n3.360<\/td>\n3.006<\/td>\n2.813<\/td>\n2.693<\/td>\n2.611<\/td>\n2.551<\/td>\n2.505<\/td>\n2.469<\/td>\n2.440<\/td>\n2.416<\/td>\n<\/tr>\n
0.05<\/td>\n5.117<\/td>\n4.256<\/td>\n3.863<\/td>\n3.633<\/td>\n3.482<\/td>\n3.374<\/td>\n3.293<\/td>\n3.230<\/td>\n3.179<\/td>\n3.137<\/td>\n<\/tr>\n
0.025<\/td>\n7.209<\/td>\n5.715<\/td>\n5.078<\/td>\n4.718<\/td>\n4.484<\/td>\n4.320<\/td>\n4.197<\/td>\n4.102<\/td>\n4.026<\/td>\n3.964<\/td>\n<\/tr>\n
0.01<\/td>\n10.561<\/td>\n8.022<\/td>\n6.992<\/td>\n6.422<\/td>\n6.057<\/td>\n5.802<\/td>\n5.613<\/td>\n5.467<\/td>\n5.351<\/td>\n5.257<\/td>\n<\/tr>\n
0.005<\/td>\n13.614<\/td>\n10.107<\/td>\n8.717<\/td>\n7.956<\/td>\n7.471<\/td>\n7.134<\/td>\n6.885<\/td>\n6.693<\/td>\n6.541<\/td>\n6.417<\/td>\n<\/tr>\n
0.001<\/td>\n22.857<\/td>\n16.387<\/td>\n13.902<\/td>\n12.560<\/td>\n11.714<\/td>\n11.128<\/td>\n10.698<\/td>\n10.368<\/td>\n10.107<\/td>\n9.894<\/td>\n<\/tr>\n
[latex]df_d=10[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.490<\/td>\n0.743<\/td>\n0.845<\/td>\n0.899<\/td>\n0.932<\/td>\n0.954<\/td>\n0.971<\/td>\n0.983<\/td>\n0.992<\/td>\n1.000<\/td>\n<\/tr>\n
0.1<\/td>\n3.285<\/td>\n2.924<\/td>\n2.728<\/td>\n2.605<\/td>\n2.522<\/td>\n2.461<\/td>\n2.414<\/td>\n2.377<\/td>\n2.347<\/td>\n2.323<\/td>\n<\/tr>\n
0.05<\/td>\n4.965<\/td>\n4.103<\/td>\n3.708<\/td>\n3.478<\/td>\n3.326<\/td>\n3.217<\/td>\n3.135<\/td>\n3.072<\/td>\n3.020<\/td>\n2.978<\/td>\n<\/tr>\n
0.025<\/td>\n6.937<\/td>\n5.456<\/td>\n4.826<\/td>\n4.468<\/td>\n4.236<\/td>\n4.072<\/td>\n3.950<\/td>\n3.855<\/td>\n3.779<\/td>\n3.717<\/td>\n<\/tr>\n
0.01<\/td>\n10.044<\/td>\n7.559<\/td>\n6.552<\/td>\n5.994<\/td>\n5.636<\/td>\n5.386<\/td>\n5.200<\/td>\n5.057<\/td>\n4.942<\/td>\n4.849<\/td>\n<\/tr>\n
0.005<\/td>\n12.826<\/td>\n9.427<\/td>\n8.081<\/td>\n7.343<\/td>\n6.872<\/td>\n6.545<\/td>\n6.302<\/td>\n6.116<\/td>\n5.968<\/td>\n5.847<\/td>\n<\/tr>\n
0.001<\/td>\n21.040<\/td>\n14.905<\/td>\n12.553<\/td>\n11.283<\/td>\n10.481<\/td>\n9.926<\/td>\n9.517<\/td>\n9.204<\/td>\n8.956<\/td>\n8.754<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n\n
[latex]df_n[\/latex]<\/div>\n<\/th>\n<\/tr>\n
[latex]\\alpha[\/latex]<\/th>\n11<\/th>\n12<\/th>\n13<\/th>\n14<\/th>\n15<\/th>\n20<\/th>\n30<\/th>\n60<\/th>\n120<\/th>\n[latex]\\infty[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
[latex]df_d=6[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.054<\/td>\n1.060<\/td>\n1.065<\/td>\n1.069<\/td>\n1.072<\/td>\n1.084<\/td>\n1.097<\/td>\n1.109<\/td>\n1.116<\/td>\n1.122<\/td>\n<\/tr>\n
0.1<\/td>\n2.920<\/td>\n2.905<\/td>\n2.892<\/td>\n2.881<\/td>\n2.871<\/td>\n2.836<\/td>\n2.800<\/td>\n2.762<\/td>\n2.742<\/td>\n2.722<\/td>\n<\/tr>\n
0.05<\/td>\n4.027<\/td>\n4.000<\/td>\n3.976<\/td>\n3.956<\/td>\n3.938<\/td>\n3.874<\/td>\n3.808<\/td>\n3.740<\/td>\n3.705<\/td>\n3.669<\/td>\n<\/tr>\n
0.025<\/td>\n5.410<\/td>\n5.366<\/td>\n5.329<\/td>\n5.297<\/td>\n5.269<\/td>\n5.168<\/td>\n5.065<\/td>\n4.959<\/td>\n4.904<\/td>\n4.849<\/td>\n<\/tr>\n
0.01<\/td>\n7.790<\/td>\n7.718<\/td>\n7.657<\/td>\n7.605<\/td>\n7.559<\/td>\n7.396<\/td>\n7.229<\/td>\n7.057<\/td>\n6.969<\/td>\n6.880<\/td>\n<\/tr>\n
0.005<\/td>\n10.133<\/td>\n10.034<\/td>\n9.950<\/td>\n9.877<\/td>\n9.814<\/td>\n9.589<\/td>\n9.358<\/td>\n9.122<\/td>\n9.001<\/td>\n8.879<\/td>\n<\/tr>\n
0.001<\/td>\n18.182<\/td>\n17.989<\/td>\n17.824<\/td>\n17.682<\/td>\n17.559<\/td>\n17.120<\/td>\n16.672<\/td>\n16.214<\/td>\n15.981<\/td>\n15.745<\/td>\n<\/tr>\n
[latex]df_d=7[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.037<\/td>\n1.042<\/td>\n1.047<\/td>\n1.051<\/td>\n1.054<\/td>\n1.066<\/td>\n1.079<\/td>\n1.091<\/td>\n1.097<\/td>\n1.103<\/td>\n<\/tr>\n
0.1<\/td>\n2.684<\/td>\n2.668<\/td>\n2.654<\/td>\n2.643<\/td>\n2.632<\/td>\n2.595<\/td>\n2.555<\/td>\n2.514<\/td>\n2.493<\/td>\n2.471<\/td>\n<\/tr>\n
0.05<\/td>\n3.603<\/td>\n3.575<\/td>\n3.550<\/td>\n3.529<\/td>\n3.511<\/td>\n3.445<\/td>\n3.376<\/td>\n3.304<\/td>\n3.267<\/td>\n3.230<\/td>\n<\/tr>\n
0.025<\/td>\n4.709<\/td>\n4.666<\/td>\n4.628<\/td>\n4.596<\/td>\n4.568<\/td>\n4.467<\/td>\n4.362<\/td>\n4.254<\/td>\n4.199<\/td>\n4.142<\/td>\n<\/tr>\n
0.01<\/td>\n6.538<\/td>\n6.469<\/td>\n6.410<\/td>\n6.359<\/td>\n6.314<\/td>\n6.155<\/td>\n5.992<\/td>\n5.824<\/td>\n5.737<\/td>\n5.650<\/td>\n<\/tr>\n
0.005<\/td>\n8.270<\/td>\n8.176<\/td>\n8.097<\/td>\n8.028<\/td>\n7.968<\/td>\n7.754<\/td>\n7.534<\/td>\n7.309<\/td>\n7.193<\/td>\n7.076<\/td>\n<\/tr>\n
0.001<\/td>\n13.879<\/td>\n13.707<\/td>\n13.561<\/td>\n13.434<\/td>\n13.324<\/td>\n12.932<\/td>\n12.530<\/td>\n12.119<\/td>\n11.909<\/td>\n11.696<\/td>\n<\/tr>\n
[latex]df_d=8[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.024<\/td>\n1.029<\/td>\n1.034<\/td>\n1.038<\/td>\n1.041<\/td>\n1.053<\/td>\n1.065<\/td>\n1.077<\/td>\n1.083<\/td>\n1.089<\/td>\n<\/tr>\n
0.1<\/td>\n2.519<\/td>\n2.502<\/td>\n2.488<\/td>\n2.475<\/td>\n2.464<\/td>\n2.425<\/td>\n2.383<\/td>\n2.339<\/td>\n2.316<\/td>\n2.293<\/td>\n<\/tr>\n
0.05<\/td>\n3.313<\/td>\n3.284<\/td>\n3.259<\/td>\n3.237<\/td>\n3.218<\/td>\n3.150<\/td>\n3.079<\/td>\n3.005<\/td>\n2.967<\/td>\n2.928<\/td>\n<\/tr>\n
0.025<\/td>\n4.243<\/td>\n4.200<\/td>\n4.162<\/td>\n4.130<\/td>\n4.101<\/td>\n3.999<\/td>\n3.894<\/td>\n3.784<\/td>\n3.728<\/td>\n3.670<\/td>\n<\/tr>\n
0.01<\/td>\n5.734<\/td>\n5.667<\/td>\n5.609<\/td>\n5.559<\/td>\n5.515<\/td>\n5.359<\/td>\n5.198<\/td>\n5.032<\/td>\n4.946<\/td>\n4.859<\/td>\n<\/tr>\n
0.005<\/td>\n7.104<\/td>\n7.015<\/td>\n6.938<\/td>\n6.872<\/td>\n6.814<\/td>\n6.608<\/td>\n6.396<\/td>\n6.177<\/td>\n6.065<\/td>\n5.951<\/td>\n<\/tr>\n
0.001<\/td>\n11.352<\/td>\n11.194<\/td>\n11.060<\/td>\n10.943<\/td>\n10.841<\/td>\n10.480<\/td>\n10.109<\/td>\n9.727<\/td>\n9.532<\/td>\n9.334<\/td>\n<\/tr>\n
[latex]df_d=9[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.014<\/td>\n1.019<\/td>\n1.024<\/td>\n1.028<\/td>\n1.031<\/td>\n1.043<\/td>\n1.055<\/td>\n1.067<\/td>\n1.073<\/td>\n1.079<\/td>\n<\/tr>\n
0.1<\/td>\n2.396<\/td>\n2.379<\/td>\n2.364<\/td>\n2.351<\/td>\n2.340<\/td>\n2.298<\/td>\n2.255<\/td>\n2.208<\/td>\n2.184<\/td>\n2.159<\/td>\n<\/tr>\n
0.05<\/td>\n3.102<\/td>\n3.073<\/td>\n3.048<\/td>\n3.025<\/td>\n3.006<\/td>\n2.936<\/td>\n2.864<\/td>\n2.787<\/td>\n2.748<\/td>\n2.707<\/td>\n<\/tr>\n
0.025<\/td>\n3.912<\/td>\n3.868<\/td>\n3.831<\/td>\n3.798<\/td>\n3.769<\/td>\n3.667<\/td>\n3.560<\/td>\n3.449<\/td>\n3.392<\/td>\n3.333<\/td>\n<\/tr>\n
0.01<\/td>\n5.178<\/td>\n5.111<\/td>\n5.055<\/td>\n5.005<\/td>\n4.962<\/td>\n4.808<\/td>\n4.649<\/td>\n4.483<\/td>\n4.398<\/td>\n4.311<\/td>\n<\/tr>\n
0.005<\/td>\n6.314<\/td>\n6.227<\/td>\n6.153<\/td>\n6.089<\/td>\n6.032<\/td>\n5.832<\/td>\n5.625<\/td>\n5.410<\/td>\n5.300<\/td>\n5.188<\/td>\n<\/tr>\n
0.001<\/td>\n9.718<\/td>\n9.570<\/td>\n9.443<\/td>\n9.334<\/td>\n9.238<\/td>\n8.898<\/td>\n8.548<\/td>\n8.187<\/td>\n8.001<\/td>\n7.813<\/td>\n<\/tr>\n
[latex]df_d=10[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.006<\/td>\n1.012<\/td>\n1.016<\/td>\n1.020<\/td>\n1.023<\/td>\n1.035<\/td>\n1.047<\/td>\n1.059<\/td>\n1.064<\/td>\n1.070<\/td>\n<\/tr>\n
0.1<\/td>\n2.302<\/td>\n2.284<\/td>\n2.269<\/td>\n2.255<\/td>\n2.244<\/td>\n2.201<\/td>\n2.155<\/td>\n2.107<\/td>\n2.082<\/td>\n2.055<\/td>\n<\/tr>\n
0.05<\/td>\n2.943<\/td>\n2.913<\/td>\n2.887<\/td>\n2.865<\/td>\n2.845<\/td>\n2.774<\/td>\n2.700<\/td>\n2.621<\/td>\n2.580<\/td>\n2.538<\/td>\n<\/tr>\n
0.025<\/td>\n3.665<\/td>\n3.621<\/td>\n3.583<\/td>\n3.550<\/td>\n3.522<\/td>\n3.419<\/td>\n3.311<\/td>\n3.198<\/td>\n3.140<\/td>\n3.080<\/td>\n<\/tr>\n
0.01<\/td>\n4.772<\/td>\n4.706<\/td>\n4.650<\/td>\n4.601<\/td>\n4.558<\/td>\n4.405<\/td>\n4.247<\/td>\n4.082<\/td>\n3.996<\/td>\n3.909<\/td>\n<\/tr>\n
0.005<\/td>\n5.746<\/td>\n5.661<\/td>\n5.589<\/td>\n5.526<\/td>\n5.471<\/td>\n5.274<\/td>\n5.071<\/td>\n4.859<\/td>\n4.750<\/td>\n4.639<\/td>\n<\/tr>\n
0.001<\/td>\n8.586<\/td>\n8.445<\/td>\n8.324<\/td>\n8.220<\/td>\n8.129<\/td>\n7.804<\/td>\n7.469<\/td>\n7.122<\/td>\n6.944<\/td>\n6.762<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n\n
[latex]df_n[\/latex]<\/div>\n<\/th>\n<\/tr>\n
[latex]\\alpha[\/latex]<\/th>\n1<\/th>\n2<\/th>\n3<\/th>\n4<\/th>\n5<\/th>\n6<\/th>\n7<\/th>\n8<\/th>\n9<\/th>\n10<\/th>\n<\/tr>\n<\/thead>\n
[latex]df_d=11[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.486<\/td>\n0.739<\/td>\n0.840<\/td>\n0.893<\/td>\n0.926<\/td>\n0.948<\/td>\n0.964<\/td>\n0.977<\/td>\n0.986<\/td>\n0.994<\/td>\n<\/tr>\n
0.1<\/td>\n3.225<\/td>\n2.860<\/td>\n2.660<\/td>\n2.536<\/td>\n2.451<\/td>\n2.389<\/td>\n2.342<\/td>\n2.304<\/td>\n2.274<\/td>\n2.248<\/td>\n<\/tr>\n
0.05<\/td>\n4.844<\/td>\n3.982<\/td>\n3.587<\/td>\n3.357<\/td>\n3.204<\/td>\n3.095<\/td>\n3.012<\/td>\n2.948<\/td>\n2.896<\/td>\n2.854<\/td>\n<\/tr>\n
0.025<\/td>\n6.724<\/td>\n5.256<\/td>\n4.630<\/td>\n4.275<\/td>\n4.044<\/td>\n3.881<\/td>\n3.759<\/td>\n3.664<\/td>\n3.588<\/td>\n3.526<\/td>\n<\/tr>\n
0.01<\/td>\n9.646<\/td>\n7.206<\/td>\n6.217<\/td>\n5.668<\/td>\n5.316<\/td>\n5.069<\/td>\n4.886<\/td>\n4.744<\/td>\n4.632<\/td>\n4.539<\/td>\n<\/tr>\n
0.005<\/td>\n12.226<\/td>\n8.912<\/td>\n7.600<\/td>\n6.881<\/td>\n6.422<\/td>\n6.102<\/td>\n5.865<\/td>\n5.682<\/td>\n5.537<\/td>\n5.418<\/td>\n<\/tr>\n
0.001<\/td>\n19.687<\/td>\n13.812<\/td>\n11.561<\/td>\n10.346<\/td>\n9.578<\/td>\n9.047<\/td>\n8.655<\/td>\n8.355<\/td>\n8.116<\/td>\n7.922<\/td>\n<\/tr>\n
[latex]df_d=12[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.484<\/td>\n0.735<\/td>\n0.835<\/td>\n0.888<\/td>\n0.921<\/td>\n0.943<\/td>\n0.959<\/td>\n0.972<\/td>\n0.981<\/td>\n0.989<\/td>\n<\/tr>\n
0.1<\/td>\n3.177<\/td>\n2.807<\/td>\n2.606<\/td>\n2.480<\/td>\n2.394<\/td>\n2.331<\/td>\n2.283<\/td>\n2.245<\/td>\n2.214<\/td>\n2.188<\/td>\n<\/tr>\n
0.05<\/td>\n4.747<\/td>\n3.885<\/td>\n3.490<\/td>\n3.259<\/td>\n3.106<\/td>\n2.996<\/td>\n2.913<\/td>\n2.849<\/td>\n2.796<\/td>\n2.753<\/td>\n<\/tr>\n
0.025<\/td>\n6.554<\/td>\n5.096<\/td>\n4.474<\/td>\n4.121<\/td>\n3.891<\/td>\n3.728<\/td>\n3.607<\/td>\n3.512<\/td>\n3.436<\/td>\n3.374<\/td>\n<\/tr>\n
0.01<\/td>\n9.330<\/td>\n6.927<\/td>\n5.953<\/td>\n5.412<\/td>\n5.064<\/td>\n4.821<\/td>\n4.640<\/td>\n4.499<\/td>\n4.388<\/td>\n4.296<\/td>\n<\/tr>\n
0.005<\/td>\n11.754<\/td>\n8.510<\/td>\n7.226<\/td>\n6.521<\/td>\n6.071<\/td>\n5.757<\/td>\n5.525<\/td>\n5.345<\/td>\n5.202<\/td>\n5.085<\/td>\n<\/tr>\n
0.001<\/td>\n18.643<\/td>\n12.974<\/td>\n10.804<\/td>\n9.633<\/td>\n8.892<\/td>\n8.379<\/td>\n8.001<\/td>\n7.710<\/td>\n7.480<\/td>\n7.292<\/td>\n<\/tr>\n
[latex]df_d=13[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.481<\/td>\n0.731<\/td>\n0.832<\/td>\n0.885<\/td>\n0.917<\/td>\n0.939<\/td>\n0.955<\/td>\n0.967<\/td>\n0.977<\/td>\n0.984<\/td>\n<\/tr>\n
0.1<\/td>\n3.136<\/td>\n2.763<\/td>\n2.560<\/td>\n2.434<\/td>\n2.347<\/td>\n2.283<\/td>\n2.234<\/td>\n2.195<\/td>\n2.164<\/td>\n2.138<\/td>\n<\/tr>\n
0.05<\/td>\n4.667<\/td>\n3.806<\/td>\n3.411<\/td>\n3.179<\/td>\n3.025<\/td>\n2.915<\/td>\n2.832<\/td>\n2.767<\/td>\n2.714<\/td>\n2.671<\/td>\n<\/tr>\n
0.025<\/td>\n6.414<\/td>\n4.965<\/td>\n4.347<\/td>\n3.996<\/td>\n3.767<\/td>\n3.604<\/td>\n3.483<\/td>\n3.388<\/td>\n3.312<\/td>\n3.250<\/td>\n<\/tr>\n
0.01<\/td>\n9.074<\/td>\n6.701<\/td>\n5.739<\/td>\n5.205<\/td>\n4.862<\/td>\n4.620<\/td>\n4.441<\/td>\n4.302<\/td>\n4.191<\/td>\n4.100<\/td>\n<\/tr>\n
0.005<\/td>\n11.374<\/td>\n8.186<\/td>\n6.926<\/td>\n6.233<\/td>\n5.791<\/td>\n5.482<\/td>\n5.253<\/td>\n5.076<\/td>\n4.935<\/td>\n4.820<\/td>\n<\/tr>\n
0.001<\/td>\n17.815<\/td>\n12.313<\/td>\n10.209<\/td>\n9.073<\/td>\n8.354<\/td>\n7.856<\/td>\n7.489<\/td>\n7.206<\/td>\n6.982<\/td>\n6.799<\/td>\n<\/tr>\n
[latex]df_d=14[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.479<\/td>\n0.729<\/td>\n0.828<\/td>\n0.881<\/td>\n0.914<\/td>\n0.936<\/td>\n0.952<\/td>\n0.964<\/td>\n0.973<\/td>\n0.981<\/td>\n<\/tr>\n
0.1<\/td>\n3.102<\/td>\n2.726<\/td>\n2.522<\/td>\n2.395<\/td>\n2.307<\/td>\n2.243<\/td>\n2.193<\/td>\n2.154<\/td>\n2.122<\/td>\n2.095<\/td>\n<\/tr>\n
0.05<\/td>\n4.600<\/td>\n3.739<\/td>\n3.344<\/td>\n3.112<\/td>\n2.958<\/td>\n2.848<\/td>\n2.764<\/td>\n2.699<\/td>\n2.646<\/td>\n2.602<\/td>\n<\/tr>\n
0.025<\/td>\n6.298<\/td>\n4.857<\/td>\n4.242<\/td>\n3.892<\/td>\n3.663<\/td>\n3.501<\/td>\n3.380<\/td>\n3.285<\/td>\n3.209<\/td>\n3.147<\/td>\n<\/tr>\n
0.01<\/td>\n8.862<\/td>\n6.515<\/td>\n5.564<\/td>\n5.035<\/td>\n4.695<\/td>\n4.456<\/td>\n4.278<\/td>\n4.140<\/td>\n4.030<\/td>\n3.939<\/td>\n<\/tr>\n
0.005<\/td>\n11.060<\/td>\n7.922<\/td>\n6.680<\/td>\n5.998<\/td>\n5.562<\/td>\n5.257<\/td>\n5.031<\/td>\n4.857<\/td>\n4.717<\/td>\n4.603<\/td>\n<\/tr>\n
0.001<\/td>\n17.143<\/td>\n11.779<\/td>\n9.729<\/td>\n8.622<\/td>\n7.922<\/td>\n7.436<\/td>\n7.077<\/td>\n6.802<\/td>\n6.583<\/td>\n6.404<\/td>\n<\/tr>\n
[latex]df_d=15[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.478<\/td>\n0.726<\/td>\n0.826<\/td>\n0.878<\/td>\n0.911<\/td>\n0.933<\/td>\n0.949<\/td>\n0.960<\/td>\n0.970<\/td>\n0.977<\/td>\n<\/tr>\n
0.1<\/td>\n3.073<\/td>\n2.695<\/td>\n2.490<\/td>\n2.361<\/td>\n2.273<\/td>\n2.208<\/td>\n2.158<\/td>\n2.119<\/td>\n2.086<\/td>\n2.059<\/td>\n<\/tr>\n
0.05<\/td>\n4.543<\/td>\n3.682<\/td>\n3.287<\/td>\n3.056<\/td>\n2.901<\/td>\n2.790<\/td>\n2.707<\/td>\n2.641<\/td>\n2.588<\/td>\n2.544<\/td>\n<\/tr>\n
0.025<\/td>\n6.200<\/td>\n4.765<\/td>\n4.153<\/td>\n3.804<\/td>\n3.576<\/td>\n3.415<\/td>\n3.293<\/td>\n3.199<\/td>\n3.123<\/td>\n3.060<\/td>\n<\/tr>\n
0.01<\/td>\n8.683<\/td>\n6.359<\/td>\n5.417<\/td>\n4.893<\/td>\n4.556<\/td>\n4.318<\/td>\n4.142<\/td>\n4.004<\/td>\n3.895<\/td>\n3.805<\/td>\n<\/tr>\n
0.005<\/td>\n10.798<\/td>\n7.701<\/td>\n6.476<\/td>\n5.803<\/td>\n5.372<\/td>\n5.071<\/td>\n4.847<\/td>\n4.674<\/td>\n4.536<\/td>\n4.424<\/td>\n<\/tr>\n
0.001<\/td>\n16.587<\/td>\n11.339<\/td>\n9.335<\/td>\n8.253<\/td>\n7.567<\/td>\n7.092<\/td>\n6.741<\/td>\n6.471<\/td>\n6.256<\/td>\n6.081<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n\n
[latex]df_n[\/latex]<\/div>\n<\/th>\n<\/tr>\n
[latex]\\alpha[\/latex]<\/th>\n11<\/th>\n12<\/th>\n13<\/th>\n14<\/th>\n15<\/th>\n20<\/th>\n30<\/th>\n60<\/th>\n120<\/th>\n[latex]\\infty[\/latex]<\/th>\n<\/tr>\n<\/thead>\n
[latex]df_d=11[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n1.000<\/td>\n1.005<\/td>\n1.010<\/td>\n1.013<\/td>\n1.017<\/td>\n1.028<\/td>\n1.040<\/td>\n1.052<\/td>\n1.058<\/td>\n1.064<\/td>\n<\/tr>\n
0.1<\/td>\n2.227<\/td>\n2.209<\/td>\n2.193<\/td>\n2.179<\/td>\n2.167<\/td>\n2.123<\/td>\n2.076<\/td>\n2.026<\/td>\n2.000<\/td>\n1.972<\/td>\n<\/tr>\n
0.05<\/td>\n2.818<\/td>\n2.788<\/td>\n2.761<\/td>\n2.739<\/td>\n2.719<\/td>\n2.646<\/td>\n2.570<\/td>\n2.490<\/td>\n2.448<\/td>\n2.404<\/td>\n<\/tr>\n
0.025<\/td>\n3.474<\/td>\n3.430<\/td>\n3.392<\/td>\n3.359<\/td>\n3.330<\/td>\n3.226<\/td>\n3.118<\/td>\n3.004<\/td>\n2.944<\/td>\n2.883<\/td>\n<\/tr>\n
0.01<\/td>\n4.462<\/td>\n4.397<\/td>\n4.342<\/td>\n4.293<\/td>\n4.251<\/td>\n4.099<\/td>\n3.941<\/td>\n3.776<\/td>\n3.690<\/td>\n3.602<\/td>\n<\/tr>\n
0.005<\/td>\n5.320<\/td>\n5.236<\/td>\n5.165<\/td>\n5.103<\/td>\n5.049<\/td>\n4.855<\/td>\n4.654<\/td>\n4.445<\/td>\n4.337<\/td>\n4.226<\/td>\n<\/tr>\n
0.001<\/td>\n7.761<\/td>\n7.626<\/td>\n7.509<\/td>\n7.409<\/td>\n7.321<\/td>\n7.008<\/td>\n6.684<\/td>\n6.348<\/td>\n6.175<\/td>\n5.998<\/td>\n<\/tr>\n
[latex]df_d=12[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.995<\/td>\n1.000<\/td>\n1.004<\/td>\n1.008<\/td>\n1.012<\/td>\n1.023<\/td>\n1.035<\/td>\n1.046<\/td>\n1.052<\/td>\n1.058<\/td>\n<\/tr>\n
0.1<\/td>\n2.166<\/td>\n2.147<\/td>\n2.131<\/td>\n2.117<\/td>\n2.105<\/td>\n2.060<\/td>\n2.011<\/td>\n1.960<\/td>\n1.932<\/td>\n1.904<\/td>\n<\/tr>\n
0.05<\/td>\n2.717<\/td>\n2.687<\/td>\n2.660<\/td>\n2.637<\/td>\n2.617<\/td>\n2.544<\/td>\n2.466<\/td>\n2.384<\/td>\n2.341<\/td>\n2.296<\/td>\n<\/tr>\n
0.025<\/td>\n3.321<\/td>\n3.277<\/td>\n3.239<\/td>\n3.206<\/td>\n3.177<\/td>\n3.073<\/td>\n2.963<\/td>\n2.848<\/td>\n2.787<\/td>\n2.725<\/td>\n<\/tr>\n
0.01<\/td>\n4.220<\/td>\n4.155<\/td>\n4.100<\/td>\n4.052<\/td>\n4.010<\/td>\n3.858<\/td>\n3.701<\/td>\n3.535<\/td>\n3.449<\/td>\n3.361<\/td>\n<\/tr>\n
0.005<\/td>\n4.988<\/td>\n4.906<\/td>\n4.836<\/td>\n4.775<\/td>\n4.721<\/td>\n4.530<\/td>\n4.331<\/td>\n4.123<\/td>\n4.015<\/td>\n3.904<\/td>\n<\/tr>\n
0.001<\/td>\n7.136<\/td>\n7.005<\/td>\n6.892<\/td>\n6.794<\/td>\n6.709<\/td>\n6.405<\/td>\n6.090<\/td>\n5.762<\/td>\n5.593<\/td>\n5.420<\/td>\n<\/tr>\n
[latex]df_d=13[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.990<\/td>\n0.996<\/td>\n1.000<\/td>\n1.004<\/td>\n1.007<\/td>\n1.019<\/td>\n1.030<\/td>\n1.042<\/td>\n1.048<\/td>\n1.054<\/td>\n<\/tr>\n
0.1<\/td>\n2.116<\/td>\n2.097<\/td>\n2.080<\/td>\n2.066<\/td>\n2.053<\/td>\n2.007<\/td>\n1.958<\/td>\n1.904<\/td>\n1.876<\/td>\n1.846<\/td>\n<\/tr>\n
0.05<\/td>\n2.635<\/td>\n2.604<\/td>\n2.577<\/td>\n2.554<\/td>\n2.533<\/td>\n2.459<\/td>\n2.380<\/td>\n2.297<\/td>\n2.252<\/td>\n2.206<\/td>\n<\/tr>\n
0.025<\/td>\n3.197<\/td>\n3.153<\/td>\n3.115<\/td>\n3.082<\/td>\n3.053<\/td>\n2.948<\/td>\n2.837<\/td>\n2.720<\/td>\n2.659<\/td>\n2.595<\/td>\n<\/tr>\n
0.01<\/td>\n4.025<\/td>\n3.960<\/td>\n3.905<\/td>\n3.857<\/td>\n3.815<\/td>\n3.665<\/td>\n3.507<\/td>\n3.341<\/td>\n3.255<\/td>\n3.165<\/td>\n<\/tr>\n
0.005<\/td>\n4.724<\/td>\n4.643<\/td>\n4.573<\/td>\n4.513<\/td>\n4.460<\/td>\n4.270<\/td>\n4.073<\/td>\n3.866<\/td>\n3.758<\/td>\n3.647<\/td>\n<\/tr>\n
0.001<\/td>\n6.647<\/td>\n6.519<\/td>\n6.409<\/td>\n6.314<\/td>\n6.231<\/td>\n5.934<\/td>\n5.626<\/td>\n5.305<\/td>\n5.138<\/td>\n4.967<\/td>\n<\/tr>\n
[latex]df_d=14[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.987<\/td>\n0.992<\/td>\n0.996<\/td>\n1.000<\/td>\n1.003<\/td>\n1.015<\/td>\n1.026<\/td>\n1.038<\/td>\n1.044<\/td>\n1.050<\/td>\n<\/tr>\n
0.1<\/td>\n2.073<\/td>\n2.054<\/td>\n2.037<\/td>\n2.022<\/td>\n2.010<\/td>\n1.962<\/td>\n1.912<\/td>\n1.857<\/td>\n1.828<\/td>\n1.797<\/td>\n<\/tr>\n
0.05<\/td>\n2.565<\/td>\n2.534<\/td>\n2.507<\/td>\n2.484<\/td>\n2.463<\/td>\n2.388<\/td>\n2.308<\/td>\n2.223<\/td>\n2.178<\/td>\n2.131<\/td>\n<\/tr>\n
0.025<\/td>\n3.095<\/td>\n3.050<\/td>\n3.012<\/td>\n2.979<\/td>\n2.949<\/td>\n2.844<\/td>\n2.732<\/td>\n2.614<\/td>\n2.552<\/td>\n2.487<\/td>\n<\/tr>\n
0.01<\/td>\n3.864<\/td>\n3.800<\/td>\n3.745<\/td>\n3.698<\/td>\n3.656<\/td>\n3.505<\/td>\n3.348<\/td>\n3.181<\/td>\n3.094<\/td>\n3.004<\/td>\n<\/tr>\n
0.005<\/td>\n4.508<\/td>\n4.428<\/td>\n4.359<\/td>\n4.299<\/td>\n4.247<\/td>\n4.059<\/td>\n3.862<\/td>\n3.655<\/td>\n3.547<\/td>\n3.436<\/td>\n<\/tr>\n
0.001<\/td>\n6.256<\/td>\n6.130<\/td>\n6.023<\/td>\n5.930<\/td>\n5.848<\/td>\n5.557<\/td>\n5.254<\/td>\n4.938<\/td>\n4.773<\/td>\n4.604<\/td>\n<\/tr>\n
[latex]df_d=15[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.983<\/td>\n0.989<\/td>\n0.993<\/td>\n0.997<\/td>\n1.000<\/td>\n1.011<\/td>\n1.023<\/td>\n1.034<\/td>\n1.040<\/td>\n1.046<\/td>\n<\/tr>\n
0.1<\/td>\n2.037<\/td>\n2.017<\/td>\n2.000<\/td>\n1.985<\/td>\n1.972<\/td>\n1.924<\/td>\n1.873<\/td>\n1.817<\/td>\n1.787<\/td>\n1.755<\/td>\n<\/tr>\n
0.05<\/td>\n2.507<\/td>\n2.475<\/td>\n2.448<\/td>\n2.424<\/td>\n2.403<\/td>\n2.328<\/td>\n2.247<\/td>\n2.160<\/td>\n2.114<\/td>\n2.066<\/td>\n<\/tr>\n
0.025<\/td>\n3.008<\/td>\n2.963<\/td>\n2.925<\/td>\n2.891<\/td>\n2.862<\/td>\n2.756<\/td>\n2.644<\/td>\n2.524<\/td>\n2.461<\/td>\n2.395<\/td>\n<\/tr>\n
0.01<\/td>\n3.730<\/td>\n3.666<\/td>\n3.612<\/td>\n3.564<\/td>\n3.522<\/td>\n3.372<\/td>\n3.214<\/td>\n3.047<\/td>\n2.959<\/td>\n2.868<\/td>\n<\/tr>\n
0.005<\/td>\n4.329<\/td>\n4.250<\/td>\n4.181<\/td>\n4.122<\/td>\n4.070<\/td>\n3.883<\/td>\n3.687<\/td>\n3.480<\/td>\n3.372<\/td>\n3.260<\/td>\n<\/tr>\n
0.001<\/td>\n5.935<\/td>\n5.812<\/td>\n5.707<\/td>\n5.615<\/td>\n5.535<\/td>\n5.248<\/td>\n4.950<\/td>\n4.638<\/td>\n4.475<\/td>\n4.307<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/th>\n\n
[latex]df_n[\/latex]<\/div>\n<\/th>\n<\/tr>\n
[latex]\\alpha[\/latex]<\/th>\n1<\/th>\n2<\/th>\n3<\/th>\n4<\/th>\n5<\/th>\n6<\/th>\n7<\/th>\n8<\/th>\n9<\/th>\n10<\/th>\n<\/tr>\n<\/thead>\n
[latex]df_d=20[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.472<\/td>\n0.718<\/td>\n0.816<\/td>\n0.868<\/td>\n0.900<\/td>\n0.922<\/td>\n0.938<\/td>\n0.950<\/td>\n0.959<\/td>\n0.966<\/td>\n<\/tr>\n
0.1<\/td>\n2.975<\/td>\n2.589<\/td>\n2.380<\/td>\n2.249<\/td>\n2.158<\/td>\n2.091<\/td>\n2.040<\/td>\n1.999<\/td>\n1.965<\/td>\n1.937<\/td>\n<\/tr>\n
0.05<\/td>\n4.351<\/td>\n3.493<\/td>\n3.098<\/td>\n2.866<\/td>\n2.711<\/td>\n2.599<\/td>\n2.514<\/td>\n2.447<\/td>\n2.393<\/td>\n2.348<\/td>\n<\/tr>\n
0.025<\/td>\n5.871<\/td>\n4.461<\/td>\n3.859<\/td>\n3.515<\/td>\n3.289<\/td>\n3.128<\/td>\n3.007<\/td>\n2.913<\/td>\n2.837<\/td>\n2.774<\/td>\n<\/tr>\n
0.01<\/td>\n8.096<\/td>\n5.849<\/td>\n4.938<\/td>\n4.431<\/td>\n4.103<\/td>\n3.871<\/td>\n3.699<\/td>\n3.564<\/td>\n3.457<\/td>\n3.368<\/td>\n<\/tr>\n
0.005<\/td>\n9.944<\/td>\n6.986<\/td>\n5.818<\/td>\n5.174<\/td>\n4.762<\/td>\n4.472<\/td>\n4.257<\/td>\n4.090<\/td>\n3.956<\/td>\n3.847<\/td>\n<\/tr>\n
0.001<\/td>\n14.819<\/td>\n9.953<\/td>\n8.098<\/td>\n7.096<\/td>\n6.461<\/td>\n6.019<\/td>\n5.692<\/td>\n5.440<\/td>\n5.239<\/td>\n5.075<\/td>\n<\/tr>\n
[latex]df_d=30[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.466<\/td>\n0.709<\/td>\n0.807<\/td>\n0.858<\/td>\n0.890<\/td>\n0.912<\/td>\n0.927<\/td>\n0.939<\/td>\n0.948<\/td>\n0.955<\/td>\n<\/tr>\n
0.1<\/td>\n2.881<\/td>\n2.489<\/td>\n2.276<\/td>\n2.142<\/td>\n2.049<\/td>\n1.980<\/td>\n1.927<\/td>\n1.884<\/td>\n1.849<\/td>\n1.819<\/td>\n<\/tr>\n
0.05<\/td>\n4.171<\/td>\n3.316<\/td>\n2.922<\/td>\n2.690<\/td>\n2.534<\/td>\n2.421<\/td>\n2.334<\/td>\n2.266<\/td>\n2.211<\/td>\n2.165<\/td>\n<\/tr>\n
0.025<\/td>\n5.568<\/td>\n4.182<\/td>\n3.589<\/td>\n3.250<\/td>\n3.026<\/td>\n2.867<\/td>\n2.746<\/td>\n2.651<\/td>\n2.575<\/td>\n2.511<\/td>\n<\/tr>\n
0.01<\/td>\n7.562<\/td>\n5.390<\/td>\n4.510<\/td>\n4.018<\/td>\n3.699<\/td>\n3.473<\/td>\n3.304<\/td>\n3.173<\/td>\n3.067<\/td>\n2.979<\/td>\n<\/tr>\n
0.005<\/td>\n9.180<\/td>\n6.355<\/td>\n5.239<\/td>\n4.623<\/td>\n4.228<\/td>\n3.949<\/td>\n3.742<\/td>\n3.580<\/td>\n3.450<\/td>\n3.344<\/td>\n<\/tr>\n
0.001<\/td>\n13.293<\/td>\n8.773<\/td>\n7.054<\/td>\n6.125<\/td>\n5.534<\/td>\n5.122<\/td>\n4.817<\/td>\n4.581<\/td>\n4.393<\/td>\n4.239<\/td>\n<\/tr>\n
[latex]df_d=60[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.460<\/td>\n0.701<\/td>\n0.798<\/td>\n0.849<\/td>\n0.880<\/td>\n0.901<\/td>\n0.917<\/td>\n0.928<\/td>\n0.937<\/td>\n0.945<\/td>\n<\/tr>\n
0.1<\/td>\n2.791<\/td>\n2.393<\/td>\n2.177<\/td>\n2.041<\/td>\n1.946<\/td>\n1.875<\/td>\n1.819<\/td>\n1.775<\/td>\n1.738<\/td>\n1.707<\/td>\n<\/tr>\n
0.05<\/td>\n4.001<\/td>\n3.150<\/td>\n2.758<\/td>\n2.525<\/td>\n2.368<\/td>\n2.254<\/td>\n2.167<\/td>\n2.097<\/td>\n2.040<\/td>\n1.993<\/td>\n<\/tr>\n
0.025<\/td>\n5.286<\/td>\n3.925<\/td>\n3.343<\/td>\n3.008<\/td>\n2.786<\/td>\n2.627<\/td>\n2.507<\/td>\n2.412<\/td>\n2.334<\/td>\n2.270<\/td>\n<\/tr>\n
0.01<\/td>\n7.077<\/td>\n4.977<\/td>\n4.126<\/td>\n3.649<\/td>\n3.339<\/td>\n3.119<\/td>\n2.953<\/td>\n2.823<\/td>\n2.718<\/td>\n2.632<\/td>\n<\/tr>\n
0.005<\/td>\n8.495<\/td>\n5.795<\/td>\n4.729<\/td>\n4.140<\/td>\n3.760<\/td>\n3.492<\/td>\n3.291<\/td>\n3.134<\/td>\n3.008<\/td>\n2.904<\/td>\n<\/tr>\n
0.001<\/td>\n11.973<\/td>\n7.768<\/td>\n6.171<\/td>\n5.307<\/td>\n4.757<\/td>\n4.372<\/td>\n4.086<\/td>\n3.865<\/td>\n3.687<\/td>\n3.541<\/td>\n<\/tr>\n
[latex]df_d=120[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.458<\/td>\n0.697<\/td>\n0.793<\/td>\n0.844<\/td>\n0.875<\/td>\n0.896<\/td>\n0.912<\/td>\n0.923<\/td>\n0.932<\/td>\n0.939<\/td>\n<\/tr>\n
0.1<\/td>\n2.748<\/td>\n2.347<\/td>\n2.130<\/td>\n1.992<\/td>\n1.896<\/td>\n1.824<\/td>\n1.767<\/td>\n1.722<\/td>\n1.684<\/td>\n1.652<\/td>\n<\/tr>\n
0.05<\/td>\n3.920<\/td>\n3.072<\/td>\n2.680<\/td>\n2.447<\/td>\n2.290<\/td>\n2.175<\/td>\n2.087<\/td>\n2.016<\/td>\n1.959<\/td>\n1.910<\/td>\n<\/tr>\n
0.025<\/td>\n5.152<\/td>\n3.805<\/td>\n3.227<\/td>\n2.894<\/td>\n2.674<\/td>\n2.515<\/td>\n2.395<\/td>\n2.299<\/td>\n2.222<\/td>\n2.157<\/td>\n<\/tr>\n
0.01<\/td>\n6.851<\/td>\n4.787<\/td>\n3.949<\/td>\n3.480<\/td>\n3.174<\/td>\n2.956<\/td>\n2.792<\/td>\n2.663<\/td>\n2.559<\/td>\n2.472<\/td>\n<\/tr>\n
0.005<\/td>\n8.179<\/td>\n5.539<\/td>\n4.497<\/td>\n3.921<\/td>\n3.548<\/td>\n3.285<\/td>\n3.087<\/td>\n2.933<\/td>\n2.808<\/td>\n2.705<\/td>\n<\/tr>\n
0.001<\/td>\n11.380<\/td>\n7.321<\/td>\n5.781<\/td>\n4.947<\/td>\n4.416<\/td>\n4.044<\/td>\n3.767<\/td>\n3.552<\/td>\n3.379<\/td>\n3.237<\/td>\n<\/tr>\n
[latex]df_d=\\infty[\/latex]<\/strong><\/td>\n<\/tr>\n
0.5<\/td>\n0.455<\/td>\n0.693<\/td>\n0.789<\/td>\n0.839<\/td>\n0.870<\/td>\n0.891<\/td>\n0.907<\/td>\n0.918<\/td>\n0.927<\/td>\n0.934<\/td>\n<\/tr>\n
0.1<\/td>\n2.706<\/td>\n2.303<\/td>\n2.084<\/td>\n1.945<\/td>\n1.847<\/td>\n1.774<\/td>\n1.717<\/td>\n1.670<\/td>\n1.632<\/td>\n1.599<\/td>\n<\/tr>\n
0.05<\/td>\n3.841<\/td>\n2.996<\/td>\n2.605<\/td>\n2.372<\/td>\n2.214<\/td>\n2.099<\/td>\n2.010<\/td>\n1.938<\/td>\n1.880<\/td>\n1.831<\/td>\n<\/tr>\n
0.025<\/td>\n5.024<\/td>\n3.689<\/td>\n3.116<\/td>\n2.786<\/td>\n2.567<\/td>\n2.408<\/td>\n2.288<\/td>\n2.192<\/td>\n2.114<\/td>\n2.048<\/td>\n<\/tr>\n
0.01<\/td>\n6.635<\/td>\n4.605<\/td>\n3.782<\/td>\n3.319<\/td>\n3.017<\/td>\n2.802<\/td>\n2.639<\/td>\n2.511<\/td>\n2.407<\/td>\n2.321<\/td>\n<\/tr>\n
0.005<\/td>\n7.879<\/td>\n5.298<\/td>\n4.279<\/td>\n3.715<\/td>\n3.350<\/td>\n3.091<\/td>\n2.897<\/td>\n2.744<\/td>\n2.621<\/td>\n2.519<\/td>\n<\/tr>\n
0.001<\/td>\n10.828<\/td>\n6.908<\/td>\n5.422<\/td>\n4.617<\/td>\n4.103<\/td>\n3.743<\/td>\n3.475<\/td>\n3.266<\/td>\n3.097<\/td>\n2.959<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Attribution<\/h2>\n

Table II (area under the standard normal curve for negative and positive [latex]z[\/latex], Table IV: Values of [latex]t_{\\alpha}[\/latex] of [latex]t[\/latex]-distribution, Table V: Values of [latex]\\chi^2_{\\alpha}[\/latex] of [latex]\\chi^2[\/latex]-distribution, and Table VI: Values of [latex]F_{\\alpha}[\/latex] of [latex]F[\/latex]-distribution, were adapted, with editorial changes, from: Jamil, H. (2020). Statistical tables. https:\/\/haziqj.github.io\/stat-tables\/<\/a>. Licensed under GPL-3.0<\/a>.<\/p>\n","protected":false},"author":9,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-3110","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/back-matter\/3110","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/users\/9"}],"version-history":[{"count":53,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/back-matter\/3110\/revisions"}],"predecessor-version":[{"id":5608,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/back-matter\/3110\/revisions\/5608"}],"metadata":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/back-matter\/3110\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/media?parent=3110"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/back-matter-type?post=3110"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/contributor?post=3110"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/license?post=3110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}