{"id":1193,"date":"2021-06-27T15:20:00","date_gmt":"2021-06-27T19:20:00","guid":{"rendered":"https:\/\/openbooks.macewan.ca\/rcommander\/?post_type=chapter&p=1193"},"modified":"2024-02-08T14:39:17","modified_gmt":"2024-02-08T19:39:17","slug":"12-1-opening-example","status":"publish","type":"chapter","link":"https:\/\/openbooks.macewan.ca\/introstats\/chapter\/12-1-opening-example\/","title":{"raw":"12.1 Opening Example","rendered":"12.1 Opening Example"},"content":{"raw":"A student experimented to compare download speed at different times of the day. He placed a file on a remote server and then proceeded to download the file at three different periods of the day: 7 a.m., 5 p.m., and 12 a.m. He downloaded the file 48 times, 16 times at each period and recorded the download time in seconds (De Veaux, Velleman, & Bock, 2008). Does the data below provide sufficient evidence of a difference between the mean download time at 7 a.m., 5 p.m., and 12 a.m.?\r\n

Table 12.1<\/strong>: Download Time at 7 a.m., 5 p.m., and 12 a.m.<\/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
Time of day<\/strong><\/td>\r\nTime (sec)<\/strong><\/td>\r\nTime of day<\/strong><\/td>\r\nTime (sec)<\/strong><\/td>\r\nTime of day<\/strong><\/td>\r\nTime (sec)<\/strong><\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n68<\/td>\r\n5 p.m.<\/td>\r\n299<\/td>\r\n12 a.m.<\/td>\r\n216<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n138<\/td>\r\n5 p.m.<\/td>\r\n367<\/td>\r\n12 a.m.<\/td>\r\n175<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n75<\/td>\r\n5 p.m.<\/td>\r\n331<\/td>\r\n12 a.m.<\/td>\r\n274<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n186<\/td>\r\n5 p.m.<\/td>\r\n257<\/td>\r\n12 a.m.<\/td>\r\n171<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n68<\/td>\r\n5 p.m.<\/td>\r\n260<\/td>\r\n12 a.m.<\/td>\r\n187<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n217<\/td>\r\n5 p.m.<\/td>\r\n269<\/td>\r\n12 a.m.<\/td>\r\n213<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n93<\/td>\r\n5 p.m.<\/td>\r\n251<\/td>\r\n12 a.m.<\/td>\r\n221<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n90<\/td>\r\n5 p.m.<\/td>\r\n200<\/td>\r\n12 a.m.<\/td>\r\n139<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n71<\/td>\r\n5 p.m.<\/td>\r\n296<\/td>\r\n12 a.m.<\/td>\r\n226<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n154<\/td>\r\n5 p.m.<\/td>\r\n204<\/td>\r\n12 a.m.<\/td>\r\n128<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n166<\/td>\r\n5 p.m.<\/td>\r\n190<\/td>\r\n12 a.m.<\/td>\r\n236<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n130<\/td>\r\n5 p.m.<\/td>\r\n240<\/td>\r\n12 a.m.<\/td>\r\n128<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n72<\/td>\r\n5 p.m.<\/td>\r\n350<\/td>\r\n12 a.m.<\/td>\r\n217<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n81<\/td>\r\n5 p.m.<\/td>\r\n256<\/td>\r\n12 a.m.<\/td>\r\n196<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n76<\/td>\r\n5 p.m.<\/td>\r\n282<\/td>\r\n12 a.m.<\/td>\r\n201<\/td>\r\n<\/tr>\r\n
7 a.m.<\/td>\r\n129<\/td>\r\n5 p.m.<\/td>\r\n320<\/td>\r\n12 a.m.<\/td>\r\n161<\/td>\r\n<\/tr>\r\n
<\/td>\r\n[latex]\\bar{x}_1=[\/latex]113.375<\/td>\r\n<\/td>\r\n[latex]\\bar{x}_2=[\/latex]273.250<\/td>\r\n<\/td>\r\n[latex]\\bar{x}_3=[\/latex]193.063<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"

A student experimented to compare download speed at different times of the day. He placed a file on a remote server and then proceeded to download the file at three different periods of the day: 7 a.m., 5 p.m., and 12 a.m. He downloaded the file 48 times, 16 times at each period and recorded the download time in seconds (De Veaux, Velleman, & Bock, 2008). Does the data below provide sufficient evidence of a difference between the mean download time at 7 a.m., 5 p.m., and 12 a.m.?<\/p>\n

Table 12.1<\/strong>: Download Time at 7 a.m., 5 p.m., and 12 a.m.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Time of day<\/strong><\/td>\nTime (sec)<\/strong><\/td>\nTime of day<\/strong><\/td>\nTime (sec)<\/strong><\/td>\nTime of day<\/strong><\/td>\nTime (sec)<\/strong><\/td>\n<\/tr>\n
7 a.m.<\/td>\n68<\/td>\n5 p.m.<\/td>\n299<\/td>\n12 a.m.<\/td>\n216<\/td>\n<\/tr>\n
7 a.m.<\/td>\n138<\/td>\n5 p.m.<\/td>\n367<\/td>\n12 a.m.<\/td>\n175<\/td>\n<\/tr>\n
7 a.m.<\/td>\n75<\/td>\n5 p.m.<\/td>\n331<\/td>\n12 a.m.<\/td>\n274<\/td>\n<\/tr>\n
7 a.m.<\/td>\n186<\/td>\n5 p.m.<\/td>\n257<\/td>\n12 a.m.<\/td>\n171<\/td>\n<\/tr>\n
7 a.m.<\/td>\n68<\/td>\n5 p.m.<\/td>\n260<\/td>\n12 a.m.<\/td>\n187<\/td>\n<\/tr>\n
7 a.m.<\/td>\n217<\/td>\n5 p.m.<\/td>\n269<\/td>\n12 a.m.<\/td>\n213<\/td>\n<\/tr>\n
7 a.m.<\/td>\n93<\/td>\n5 p.m.<\/td>\n251<\/td>\n12 a.m.<\/td>\n221<\/td>\n<\/tr>\n
7 a.m.<\/td>\n90<\/td>\n5 p.m.<\/td>\n200<\/td>\n12 a.m.<\/td>\n139<\/td>\n<\/tr>\n
7 a.m.<\/td>\n71<\/td>\n5 p.m.<\/td>\n296<\/td>\n12 a.m.<\/td>\n226<\/td>\n<\/tr>\n
7 a.m.<\/td>\n154<\/td>\n5 p.m.<\/td>\n204<\/td>\n12 a.m.<\/td>\n128<\/td>\n<\/tr>\n
7 a.m.<\/td>\n166<\/td>\n5 p.m.<\/td>\n190<\/td>\n12 a.m.<\/td>\n236<\/td>\n<\/tr>\n
7 a.m.<\/td>\n130<\/td>\n5 p.m.<\/td>\n240<\/td>\n12 a.m.<\/td>\n128<\/td>\n<\/tr>\n
7 a.m.<\/td>\n72<\/td>\n5 p.m.<\/td>\n350<\/td>\n12 a.m.<\/td>\n217<\/td>\n<\/tr>\n
7 a.m.<\/td>\n81<\/td>\n5 p.m.<\/td>\n256<\/td>\n12 a.m.<\/td>\n196<\/td>\n<\/tr>\n
7 a.m.<\/td>\n76<\/td>\n5 p.m.<\/td>\n282<\/td>\n12 a.m.<\/td>\n201<\/td>\n<\/tr>\n
7 a.m.<\/td>\n129<\/td>\n5 p.m.<\/td>\n320<\/td>\n12 a.m.<\/td>\n161<\/td>\n<\/tr>\n
<\/td>\n[latex]\\bar{x}_1=[\/latex]113.375<\/td>\n<\/td>\n[latex]\\bar{x}_2=[\/latex]273.250<\/td>\n<\/td>\n[latex]\\bar{x}_3=[\/latex]193.063<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"author":19,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1193","chapter","type-chapter","status-publish","hentry"],"part":1189,"_links":{"self":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1193","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/users\/19"}],"version-history":[{"count":12,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1193\/revisions"}],"predecessor-version":[{"id":5252,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1193\/revisions\/5252"}],"part":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/1189"}],"metadata":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1193\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/media?parent=1193"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapter-type?post=1193"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/contributor?post=1193"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/license?post=1193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}