{"id":2463,"date":"2021-10-14T17:53:34","date_gmt":"2021-10-14T17:53:34","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2463"},"modified":"2022-04-22T02:19:14","modified_gmt":"2022-04-22T02:19:14","slug":"summary-test-of-a-single-variance","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/summary-test-of-a-single-variance\/","title":{"raw":"Summary: Test of a Single Variance","rendered":"Summary: Test of a Single Variance"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li>A test of a single variance can be a one-tail test or a two-tail test.<\/li>\r\n \t<li>The degrees of freedom for the test of a single variance is [latex]n-1[\/latex].<\/li>\r\n \t<li>The test statistic is [latex]\\frac{(n-1)s^2}{\\sigma ^2}[\/latex].<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<strong>Standard Deviation:\u00a0<\/strong>A number that is equal to the square root of the variance and measures how far data values are from their mean; notation: [latex]s[\/latex] for sample standard deviation and [latex]\\sigma[\/latex] for population standard deviation.","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>A test of a single variance can be a one-tail test or a two-tail test.<\/li>\n<li>The degrees of freedom for the test of a single variance is [latex]n-1[\/latex].<\/li>\n<li>The test statistic is [latex]\\frac{(n-1)s^2}{\\sigma ^2}[\/latex].<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<p><strong>Standard Deviation:\u00a0<\/strong>A number that is equal to the square root of the variance and measures how far data values are from their mean; notation: [latex]s[\/latex] for sample standard deviation and [latex]\\sigma[\/latex] for population standard deviation.<\/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-2463\">\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>\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":23,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"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-2463","chapter","type-chapter","status-publish","hentry"],"part":293,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2463","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":4,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2463\/revisions"}],"predecessor-version":[{"id":3950,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2463\/revisions\/3950"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/293"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2463\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2463"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2463"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2463"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2463"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}