{"id":2530,"date":"2021-10-15T15:32:09","date_gmt":"2021-10-15T15:32:09","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2530"},"modified":"2022-04-24T02:59:51","modified_gmt":"2022-04-24T02:59:51","slug":"introduction-to-test-of-two-variances","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-test-of-two-variances\/","title":{"raw":"Introduction to Test of Two Variances","rendered":"Introduction to Test of Two Variances"},"content":{"raw":"<h2>What you\u2019ll learn to do:\u00a0Understand how to conduct a hypothesis test of two variances and what the conclusion means<\/h2>\r\n<img class=\"size-medium wp-image-2531 alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/15153121\/pexels-sinitta-leunen-6094856-300x200.jpg\" alt=\"An urban bus with people inside.\" width=\"300\" height=\"200\" \/>In order to have bus schedules run smoothly, we can\u2019t have bus arrival times at bus stops varying greatly. It might be useful to compare the variability (or variances) for the distribution of times it takes for busses to complete their routes. A hypothesis test that compares variances for two populations is another application of the <em>F<\/em>-distribution.","rendered":"<h2>What you\u2019ll learn to do:\u00a0Understand how to conduct a hypothesis test of two variances and what the conclusion means<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-2531 alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/15153121\/pexels-sinitta-leunen-6094856-300x200.jpg\" alt=\"An urban bus with people inside.\" width=\"300\" height=\"200\" \/>In order to have bus schedules run smoothly, we can\u2019t have bus arrival times at bus stops varying greatly. It might be useful to compare the variability (or variances) for the distribution of times it takes for busses to complete their routes. A hypothesis test that compares variances for two populations is another application of the <em>F<\/em>-distribution.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-2530\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Urban bus on road against leafless trees. <strong>Authored by<\/strong>: Sinitta Leunen. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/urban-bus-on-road-against-leafless-trees-6094856\/\">https:\/\/www.pexels.com\/photo\/urban-bus-on-road-against-leafless-trees-6094856\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":15,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Urban bus on road against leafless trees\",\"author\":\"Sinitta Leunen\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/urban-bus-on-road-against-leafless-trees-6094856\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2530","chapter","type-chapter","status-publish","hentry"],"part":313,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2530","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2530\/revisions"}],"predecessor-version":[{"id":2532,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2530\/revisions\/2532"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/313"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2530\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2530"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2530"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2530"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2530"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}