{"id":1054,"date":"2021-06-08T20:15:26","date_gmt":"2021-06-09T00:15:26","guid":{"rendered":"https:\/\/openbooks.macewan.ca\/rcommander\/?post_type=chapter&p=1054"},"modified":"2024-02-08T14:26:30","modified_gmt":"2024-02-08T19:26:30","slug":"9-4-learning-objectives","status":"publish","type":"chapter","link":"https:\/\/openbooks.macewan.ca\/introstats\/chapter\/9-4-learning-objectives\/","title":{"raw":"9.4 Learning Objectives Revisited","rendered":"9.4 Learning Objectives Revisited"},"content":{"raw":"
\r\n

Learning Objectives<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\nAs a result of completing this chapter, you will be able to do the following:\r\n
    \r\n \t
  • Explain the sampling distribution of the difference between two sample means [latex]\\bar{X_1} - \\bar{X_2}[\/latex] for two independent samples (Section 9.1).<\/li>\r\n \t
  • State the assumptions for inferences about the difference between two population means based on two independent samples (Section 9.2).<\/li>\r\n \t
  • Obtain and interpret a [latex](1 \u2013 \\alpha) \\times 100\\%[\/latex] two-mean conference interval for [latex]\\mu_1[\/latex] \u2013 [latex]\\mu_2[\/latex] (Section 9.2).<\/li>\r\n \t
  • Conduct a two-mean (sample) t-test<\/i>\u00a0(Section 9.2).<\/li>\r\n \t
  • Determine whether two samples are independent or paired (Section 9.3).<\/li>\r\n \t
  • Obtain and interpret a paired t-confidence<\/i>\u00a0interval (Section 9.3).<\/li>\r\n \t
  • Conduct a paired t-test<\/i>\u00a0(Section 9.3).<\/li>\r\n \t
  • Explain the relationship between the results of a hypothesis test at significance level [latex]\\alpha[\/latex] and the corresponding [latex](1 \u2013 \\alpha) \\times 100\\%[\/latex] confidence interval (Section 9.3).<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>","rendered":"
    \n
    \n

    Learning Objectives<\/p>\n<\/header>\n

    \n

    As a result of completing this chapter, you will be able to do the following:<\/p>\n

      \n
    • Explain the sampling distribution of the difference between two sample means [latex]\\bar{X_1} - \\bar{X_2}[\/latex] for two independent samples (Section 9.1).<\/li>\n
    • State the assumptions for inferences about the difference between two population means based on two independent samples (Section 9.2).<\/li>\n
    • Obtain and interpret a [latex](1 \u2013 \\alpha) \\times 100\\%[\/latex] two-mean conference interval for [latex]\\mu_1[\/latex] \u2013 [latex]\\mu_2[\/latex] (Section 9.2).<\/li>\n
    • Conduct a two-mean (sample) t-test<\/i>\u00a0(Section 9.2).<\/li>\n
    • Determine whether two samples are independent or paired (Section 9.3).<\/li>\n
    • Obtain and interpret a paired t-confidence<\/i>\u00a0interval (Section 9.3).<\/li>\n
    • Conduct a paired t-test<\/i>\u00a0(Section 9.3).<\/li>\n
    • Explain the relationship between the results of a hypothesis test at significance level [latex]\\alpha[\/latex] and the corresponding [latex](1 \u2013 \\alpha) \\times 100\\%[\/latex] confidence interval (Section 9.3).<\/li>\n<\/ul>\n<\/div>\n<\/div>\n","protected":false},"author":19,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1054","chapter","type-chapter","status-publish","hentry"],"part":1007,"_links":{"self":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1054","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":8,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1054\/revisions"}],"predecessor-version":[{"id":5305,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1054\/revisions\/5305"}],"part":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/1007"}],"metadata":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1054\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/media?parent=1054"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapter-type?post=1054"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/contributor?post=1054"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/license?post=1054"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}