{"id":2016,"date":"2021-05-04T20:31:12","date_gmt":"2021-05-04T20:31:12","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/chapter\/hypothesis-test-for-a-population-mean\/"},"modified":"2021-05-04T21:10:36","modified_gmt":"2021-05-04T21:10:36","slug":"hypothesis-test-for-a-population-mean","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/chapter\/hypothesis-test-for-a-population-mean\/","title":{"raw":"Introduction to Hypothesis Test for a Population Mean","rendered":"Introduction to Hypothesis Test for a Population Mean"},"content":{"raw":"<h2>What you'll learn to do: Conduct and interpret results from a hypothesis test about a population mean.<\/h2>\r\nIn this section we will learn to conduct a hypothesis test about a population mean and state a conclusion in context under appropriate conditions. Matched pairs design is when there is a \u201cbefore and after\u201d situation i.e. two quantitative measurements from a single sample of individuals. We will also learn, under appropriate conditions, to conduct a hypothesis test about a mean for a matched pairs design and state a conclusion in context. We will also interpret the P-value as a conditional probability.\r\n\r\n<img class=\"alignleft wp-image-2072 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1768\/2017\/04\/28182640\/Absolute_Poverty_Rates_before_and_after_the_introduction_of_welfare.svg_.png\" alt=\"Graph depicting poverty rates changing after welfare was introduced by country.\" width=\"800\" height=\"490\" \/>\r\n<h2>Contribute!<\/h2>\r\n<div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div>\r\n<a style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\" href=\"https:\/\/docs.google.com\/document\/d\/11UQc7zdEAo10j-v-MF4SklCutBoJTICO8iRMsSUtSKc\" target=\"_blank\" rel=\"noopener\">Improve this page<\/a><a style=\"margin-left: 16px;\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\" target=\"_blank\" rel=\"noopener\">Learn More<\/a>","rendered":"<h2>What you&#8217;ll learn to do: Conduct and interpret results from a hypothesis test about a population mean.<\/h2>\n<p>In this section we will learn to conduct a hypothesis test about a population mean and state a conclusion in context under appropriate conditions. Matched pairs design is when there is a \u201cbefore and after\u201d situation i.e. two quantitative measurements from a single sample of individuals. We will also learn, under appropriate conditions, to conduct a hypothesis test about a mean for a matched pairs design and state a conclusion in context. We will also interpret the P-value as a conditional probability.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-2072 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1768\/2017\/04\/28182640\/Absolute_Poverty_Rates_before_and_after_the_introduction_of_welfare.svg_.png\" alt=\"Graph depicting poverty rates changing after welfare was introduced by country.\" width=\"800\" height=\"490\" \/><\/p>\n<h2>Contribute!<\/h2>\n<div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div>\n<p><a style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\" href=\"https:\/\/docs.google.com\/document\/d\/11UQc7zdEAo10j-v-MF4SklCutBoJTICO8iRMsSUtSKc\" target=\"_blank\" rel=\"noopener\">Improve this page<\/a><a style=\"margin-left: 16px;\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/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-2016\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Concepts in Statistics. <strong>Provided by<\/strong>: Open Learning Initiative. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/oli.cmu.edu\">http:\/\/oli.cmu.edu<\/a>. <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":167848,"menu_order":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Concepts in Statistics\",\"author\":\"\",\"organization\":\"Open Learning Initiative\",\"url\":\"http:\/\/oli.cmu.edu\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"c5e5981e-b4e2-4ca8-ab35-9887322f21d7","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2016","chapter","type-chapter","status-publish","hentry"],"part":330,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/pressbooks\/v2\/chapters\/2016","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/wp\/v2\/users\/167848"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/pressbooks\/v2\/chapters\/2016\/revisions"}],"predecessor-version":[{"id":2048,"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/pressbooks\/v2\/chapters\/2016\/revisions\/2048"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/pressbooks\/v2\/parts\/330"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/pressbooks\/v2\/chapters\/2016\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/wp\/v2\/media?parent=2016"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/pressbooks\/v2\/chapter-type?post=2016"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/wp\/v2\/contributor?post=2016"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/wp-json\/wp\/v2\/license?post=2016"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}