{"id":2008,"date":"2021-09-23T19:01:40","date_gmt":"2021-09-23T19:01:40","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2008"},"modified":"2022-02-18T05:33:24","modified_gmt":"2022-02-18T05:33:24","slug":"introduction-to-a-single-population-mean-using-the-normal-distribution","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-a-single-population-mean-using-the-normal-distribution\/","title":{"raw":"Introduction to A Single Population Mean using the Normal Distribution","rendered":"Introduction to A Single Population Mean using the Normal Distribution"},"content":{"raw":"<h2>What you\u2019ll learn to do: understand the relationship between sample mean and error bound and confidence intervals<\/h2>\r\n<img class=\"alignright wp-image-2009 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/09\/23185503\/pexels-icsa-1708988-300x200.jpg\" alt=\"Man Wearing Black Adidas Jacket Sitting on Chair Near Another Man Wearing Blue Jacket\" width=\"300\" height=\"200\" \/>Successfully completing college may partly depend on attending class. A college retention office wants to know the average number of classes missed by students in a semester. Even if they find the sample mean to be 5 classes, it is unlikely that the true population mean number of classes missed is 5. To give them a better idea of what the true mean number of classes missed is, a confidence interval of values is created. In this section, you will learn the steps to forming and interpreting confidence intervals for a single population mean.\r\n\r\n&nbsp;","rendered":"<h2>What you\u2019ll learn to do: understand the relationship between sample mean and error bound and confidence intervals<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-2009 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/09\/23185503\/pexels-icsa-1708988-300x200.jpg\" alt=\"Man Wearing Black Adidas Jacket Sitting on Chair Near Another Man Wearing Blue Jacket\" width=\"300\" height=\"200\" \/>Successfully completing college may partly depend on attending class. A college retention office wants to know the average number of classes missed by students in a semester. Even if they find the sample mean to be 5 classes, it is unlikely that the true population mean number of classes missed is 5. To give them a better idea of what the true mean number of classes missed is, a confidence interval of values is created. In this section, you will learn the steps to forming and interpreting confidence intervals for a single population mean.<\/p>\n<p>&nbsp;<\/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-2008\">\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>Man Wearing Black Adidas Jacket Sitting on Chair Near Another Man Wearing Blue Jacket. <strong>Authored by<\/strong>: ICSA. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/man-wearing-black-adidas-jacket-sitting-on-chair-near-another-man-wearing-blue-jacket-1708988\/\">https:\/\/www.pexels.com\/photo\/man-wearing-black-adidas-jacket-sitting-on-chair-near-another-man-wearing-blue-jacket-1708988\/<\/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":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Man Wearing Black Adidas Jacket Sitting on Chair Near Another Man Wearing Blue Jacket\",\"author\":\"ICSA\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/man-wearing-black-adidas-jacket-sitting-on-chair-near-another-man-wearing-blue-jacket-1708988\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"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-2008","chapter","type-chapter","status-publish","hentry"],"part":269,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2008","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":3,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2008\/revisions"}],"predecessor-version":[{"id":3755,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2008\/revisions\/3755"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/269"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2008\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2008"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2008"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2008"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2008"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}