{"id":1290,"date":"2023-06-22T02:13:21","date_gmt":"2023-06-22T02:13:21","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-for-a-population-mean-background-youll-need-1\/"},"modified":"2024-02-07T18:23:00","modified_gmt":"2024-02-07T18:23:00","slug":"confidence-interval-for-a-population-mean-background-youll-need-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-for-a-population-mean-background-youll-need-1\/","title":{"raw":"Module 11: Background You'll Need 3","rendered":"Module 11: Background You&#8217;ll Need 3"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Represent intervals on a numberline, in interval notation, and using \\\\pm notation&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Represent intervals on a number line, in interval notation, and using [latex]\\pm[\/latex] notation.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox example\">Represent the interval that contains all the numbers between 42 and 58. There are several ways to represent an interval.\r\n\r\n<ul>\r\n\t<li>Number line:<\/li>\r\n<\/ul>\r\n<p><img class=\"aligncenter wp-image-6988 size-full\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/11\/23181841\/Picture1-13.png\" alt=\"A number line marked from 42 to 58.\" width=\"936\" height=\"92\" \/><\/p>\r\n<ul>\r\n\t<li>Interval notation: [latex](42, 58)[\/latex]<\/li>\r\n\t<li>[latex]\\pm[\/latex] notation: [latex]50 \\pm 8[\/latex]<\/li>\r\n<\/ul>\r\n<p style=\"padding-left: 40px;\">Note: To get [latex]50[\/latex], find the midpoint between 42 and 58. This is just the average of the two endpoints = [latex]\\frac{42+58}{2}=50[\/latex].<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]976[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Represent intervals on a numberline, in interval notation, and using \\\\pm notation&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Represent intervals on a number line, in interval notation, and using [latex]\\pm[\/latex] notation.<\/span><\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox example\">Represent the interval that contains all the numbers between 42 and 58. There are several ways to represent an interval.<\/p>\n<ul>\n<li>Number line:<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6988 size-full\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/11\/23181841\/Picture1-13.png\" alt=\"A number line marked from 42 to 58.\" width=\"936\" height=\"92\" \/><\/p>\n<ul>\n<li>Interval notation: [latex](42, 58)[\/latex]<\/li>\n<li>[latex]\\pm[\/latex] notation: [latex]50 \\pm 8[\/latex]<\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">Note: To get [latex]50[\/latex], find the midpoint between 42 and 58. This is just the average of the two endpoints = [latex]\\frac{42+58}{2}=50[\/latex].<\/p>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm976\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=976&theme=lumen&iframe_resize_id=ohm976&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":4,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1268,"module-header":"background_you_need","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1290"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":7,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1290\/revisions"}],"predecessor-version":[{"id":5452,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1290\/revisions\/5452"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1268"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1290\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1290"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1290"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1290"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1290"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}