{"id":1959,"date":"2021-09-16T18:00:36","date_gmt":"2021-09-16T18:00:36","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1959"},"modified":"2022-02-18T05:10:33","modified_gmt":"2022-02-18T05:10:33","slug":"review-topics-for-success-8","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/review-topics-for-success-8\/","title":{"raw":"Review Topics for Success","rendered":"Review Topics for Success"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Outcomes<\/h3>\r\nBy the end of this section, you will be able to:\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Represent inequalities using interval notation<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Find the width of a bounded interval<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Find the midpoint of a bounded interval<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Distinguish between a population and a sample<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Distinguish between a parameter and a statistic<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the population mean, variance, and standard deviation<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the sample mean, variance, and standard deviation<\/li>\r\n<\/ul>\r\n<\/div>\r\n<img class=\"alignright wp-image-1960 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/09\/16175853\/pexels-element-digital-1550340-300x200.jpg\" alt=\"I picture of &quot;I voted&quot; stickers on a sign that says voting day.\" width=\"300\" height=\"200\" \/>In this module you will begin the study of inferential statistics. That is when information from a sample is used to draw inferences about a population. For example, if 48% of people in a random sample of voters support a proposal that will be on the ballot in an upcoming election, we expect that about 48% of people that vote on election day will support the proposal. But we don\u2019t expect that exactly 48% of votes will be \"yes.\"\u00a0 Our estimate is likely to be off by a little. We often calculate an interval, or range of values, that is likely to capture the true percentage of voters that will cast a \"yes\" ballot. For this we need to use interval notation. We\u2019ll also review some terminology and formulas you learned earlier: population parameters and sample statistics, and calculations for population and sample mean, variance and standard deviation.\r\n<div class=\"textbox examples\">\r\n<h3>Recall for success<\/h3>\r\nLook for red boxes like this one throughout the text. They'll show up just in time to give helpful\u00a0reminders of the math you'll need, right where you'll need it.\r\n\r\n<\/div>","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Represent inequalities using interval notation<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Find the width of a bounded interval<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Find the midpoint of a bounded interval<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Distinguish between a population and a sample<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Distinguish between a parameter and a statistic<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the population mean, variance, and standard deviation<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the sample mean, variance, and standard deviation<\/li>\n<\/ul>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-1960 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/09\/16175853\/pexels-element-digital-1550340-300x200.jpg\" alt=\"I picture of &quot;I voted&quot; stickers on a sign that says voting day.\" width=\"300\" height=\"200\" \/>In this module you will begin the study of inferential statistics. That is when information from a sample is used to draw inferences about a population. For example, if 48% of people in a random sample of voters support a proposal that will be on the ballot in an upcoming election, we expect that about 48% of people that vote on election day will support the proposal. But we don\u2019t expect that exactly 48% of votes will be &#8220;yes.&#8221;\u00a0 Our estimate is likely to be off by a little. We often calculate an interval, or range of values, that is likely to capture the true percentage of voters that will cast a &#8220;yes&#8221; ballot. For this we need to use interval notation. We\u2019ll also review some terminology and formulas you learned earlier: population parameters and sample statistics, and calculations for population and sample mean, variance and standard deviation.<\/p>\n<div class=\"textbox examples\">\n<h3>Recall for success<\/h3>\n<p>Look for red boxes like this one throughout the text. They&#8217;ll show up just in time to give helpful\u00a0reminders of the math you&#8217;ll need, right where you&#8217;ll need it.<\/p>\n<\/div>\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-1959\">\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>I Voted Sticker Lot. <strong>Authored by<\/strong>: Element5 Digital. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/i-voted-sticker-lot-1550340\/\">https:\/\/www.pexels.com\/photo\/i-voted-sticker-lot-1550340\/<\/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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"I Voted Sticker Lot\",\"author\":\"Element5 Digital\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/i-voted-sticker-lot-1550340\/\",\"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-1959","chapter","type-chapter","status-publish","hentry"],"part":269,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1959","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\/1959\/revisions"}],"predecessor-version":[{"id":3745,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1959\/revisions\/3745"}],"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\/1959\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1959"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1959"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1959"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}