{"id":1510,"date":"2023-06-22T02:40:13","date_gmt":"2023-06-22T02:40:13","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/bootstrap-distribution-and-confidence-interval-for-a-population-mean-learn-it-1\/"},"modified":"2025-05-17T02:49:53","modified_gmt":"2025-05-17T02:49:53","slug":"bootstrap-distribution-and-confidence-interval-for-a-population-mean-learn-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/bootstrap-distribution-and-confidence-interval-for-a-population-mean-learn-it-1\/","title":{"raw":"Bootstrap Distribution and Confidence Interval for a Population Mean - Learn It 1","rendered":"Bootstrap Distribution and Confidence Interval for a Population Mean &#8211; Learn It 1"},"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;Create a bootstrap distribution for a sample mean&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Create a bootstrap distribution for a sample mean<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find and describe a bootstrap percentile confidence interval for a population mean&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find and describe a bootstrap percentile confidence interval for a population mean<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>bootstrapping<\/h3>\r\n<p>In statistics, bootstrapping is a procedure done by resampling a single data set to create a multitude of simulated samples.<\/p>\r\n<\/section>\r\n<h3><strong>Fuel Efficiency<\/strong><\/h3>\r\n<p class=\"para\">For a gas-powered car, the usual way of measuring fuel efficiency is to report miles per gallon, which is abbreviated as \u201cmpg.\u201d This is how far the car can travel on a single gallon of gas. So, the greater the reported mpg value, the more efficient the car is and the less costly it is to operate.<\/p>\r\n<p class=\"para\">But electric vehicles don\u2019t use gas, so how is the fuel efficiency measured for electric cars? One measure that is used by the Environmental Protection Agency (EPA) is the kilowatt hours per [latex]100[\/latex] miles rating, which is abbreviated as \u201ckWh\/[latex]100[\/latex] miles.\u201d The kWh\/[latex]100[\/latex] miles rating is the amount of electricity that is required to travel [latex]100[\/latex] miles.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3111[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Create a bootstrap distribution for a sample mean&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Create a bootstrap distribution for a sample mean<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find and describe a bootstrap percentile confidence interval for a population mean&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find and describe a bootstrap percentile confidence interval for a population mean<\/span><\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox keyTakeaway\">\n<h3>bootstrapping<\/h3>\n<p>In statistics, bootstrapping is a procedure done by resampling a single data set to create a multitude of simulated samples.<\/p>\n<\/section>\n<h3><strong>Fuel Efficiency<\/strong><\/h3>\n<p class=\"para\">For a gas-powered car, the usual way of measuring fuel efficiency is to report miles per gallon, which is abbreviated as \u201cmpg.\u201d This is how far the car can travel on a single gallon of gas. So, the greater the reported mpg value, the more efficient the car is and the less costly it is to operate.<\/p>\n<p class=\"para\">But electric vehicles don\u2019t use gas, so how is the fuel efficiency measured for electric cars? One measure that is used by the Environmental Protection Agency (EPA) is the kilowatt hours per [latex]100[\/latex] miles rating, which is abbreviated as \u201ckWh\/[latex]100[\/latex] miles.\u201d The kWh\/[latex]100[\/latex] miles rating is the amount of electricity that is required to travel [latex]100[\/latex] miles.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3111\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3111&theme=lumen&iframe_resize_id=ohm3111&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":8,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1502,"module-header":"learn_it","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\/1510"}],"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":4,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1510\/revisions"}],"predecessor-version":[{"id":6922,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1510\/revisions\/6922"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1502"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1510\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1510"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1510"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1510"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}