{"id":5182,"date":"2022-08-18T19:21:54","date_gmt":"2022-08-18T19:21:54","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=5182"},"modified":"2022-08-18T19:21:54","modified_gmt":"2022-08-18T19:21:54","slug":"9a-preview","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/9a-preview\/","title":{"raw":"9A Preview","rendered":"9A Preview"},"content":{"raw":"Preparing for the next class\r\n\r\nIn the next class, you will need to be able to distinguish between a sample and a\u00a0 population and interpret the mean and standard deviation of a dotplot within the context\u00a0 of a proportion.\r\n\r\nIn the next in-class activity, we will build a foundation for statistical inference, which\u00a0 involves inferring something about a population based on information from a sample.\r\n\r\nDefinitions\r\n\r\nPopulation: The population is the entire collection of individuals or objects that you\u00a0 want to learn about.[footnote]Peck, R., Short, T., &amp; Olsen, C. (2019). <em>Statistics<\/em>: <em>Learning from data, AP edition.<\/em> Cengage Learning, Inc. [\/footnote]\r\n\r\nSample: A sample is a part of the population that is selected for study.[footnote]Peck, R., Short, T., &amp; Olsen, C. (2019). <em>Statistics: Learning from data, AP edition.<\/em> Cengage Learning, Inc.[\/footnote]\r\n\r\nA researcher is interested in studying adult Swedish women who have osteoporosis. The researcher identifies a random sample of 300 adult women through Sweden\u2019s\u00a0 universal health system who have been diagnosed with osteoporosis. The researcher\u00a0 then asks the 300 women whether they would like to be involved in the study.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 1<\/h3>\r\nWhat is the population of interest?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>Swedish women<\/li>\r\n \t<li>Adult Swedish women with osteoporosis<\/li>\r\n \t<li>300 adult Swedish women with osteoporosis<\/li>\r\n \t<li>Swedish women with osteoporosis<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 2<\/h3>\r\nWhat is the sample?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>Swedish women<\/li>\r\n \t<li>Adult Swedish women with osteoporosis<\/li>\r\n \t<li>300 adult Swedish women with osteoporosis<\/li>\r\n \t<li>Swedish women with osteoporosis<\/li>\r\n<\/ol>\r\n<\/div>\r\nThe main campus of a university in Pennsylvania has a population of about 42,000\u00a0 students. A survey was administered to a sample of 2,000 students about whether or not they smoke.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 3<\/h3>\r\nWhat is the population of interest?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>\u00a042,000 students from the main campus of the university<\/li>\r\n \t<li>All students in college<\/li>\r\n \t<li>2,000 students from the main campus of the university<\/li>\r\n \t<li>Students from the main campus of the university who smoke<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 4<\/h3>\r\nWhat is the sample?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>42,000 students from the main campus of the university<\/li>\r\n \t<li>All students in college<\/li>\r\n \t<li>2,000 students from the main campus of the university<\/li>\r\n \t<li>Students from the main campus of the university who smoke<\/li>\r\n<\/ol>\r\n<\/div>\r\nGo to the DCMP Describing and Exploring Quantitative Variables tool at\u00a0 <a href=\"https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/\">https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a> and create a dotplot of the\u00a0 energy consumption of Organisation for Economic Co-operation and Development\u00a0 (OECD) countries using the Energy Consumption of Countries data (you will need to\u00a0 scroll down when searching for the dataset). Answer the following questions.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 5<\/h3>\r\nWhat is the mean energy consumption of OECD countries?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>36<\/li>\r\n \t<li>195<\/li>\r\n \t<li>120<\/li>\r\n \t<li>125<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 6<\/h3>\r\nWhat is the standard deviation of energy consumption of OECD countries?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>57.7<\/li>\r\n \t<li>246<\/li>\r\n \t<li>121<\/li>\r\n \t<li>120<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 7<\/h3>\r\nWhat is the correct interpretation of the shape and center of the dotplot?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>The shape of the dotplot is unimodal with the center a little below 200 British\u00a0 thermal units (BTU).<\/li>\r\n \t<li>The shape of the dotplot is bimodal with the center around 400 BTU.<\/li>\r\n \t<li>The shape of the dotplot is unimodal with the center between 200 and 400 BTU.<\/li>\r\n \t<li>The shape of the dotplot is bimodal with the center around 200 BTU.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 8<\/h3>\r\nWhat is the correct interpretation of the variability of the dotplot?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>The majority of the values of the dotplot range between 125 and 400 BTU, with\u00a0 one possible outlier value at 665 BTU.<\/li>\r\n \t<li>All of the values of the dotplot are between 125 and 200 BTU.<\/li>\r\n \t<li>All of the values of the dotplot are between 200 and 400 BTU.<\/li>\r\n \t<li>The majority of the values of the dotplot range between 0 and 125 BTU.<\/li>\r\n<\/ol>\r\n<\/div>\r\nTo write in notebook and bring to class: In statistics, when we want to describe the\u00a0 characteristics of a sample, we call the values statistics. However, when we want to\u00a0 describe the characteristics of a population, we call those values parameters.\r\n\r\nRemember: A statistic describes a characteristic of a sample, and a parameter\u00a0 describes a characteristic of a population.","rendered":"<p>Preparing for the next class<\/p>\n<p>In the next class, you will need to be able to distinguish between a sample and a\u00a0 population and interpret the mean and standard deviation of a dotplot within the context\u00a0 of a proportion.<\/p>\n<p>In the next in-class activity, we will build a foundation for statistical inference, which\u00a0 involves inferring something about a population based on information from a sample.<\/p>\n<p>Definitions<\/p>\n<p>Population: The population is the entire collection of individuals or objects that you\u00a0 want to learn about.<a class=\"footnote\" title=\"Peck, R., Short, T., &amp; Olsen, C. (2019). Statistics: Learning from data, AP edition. Cengage Learning, Inc.\" id=\"return-footnote-5182-1\" href=\"#footnote-5182-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<p>Sample: A sample is a part of the population that is selected for study.<a class=\"footnote\" title=\"Peck, R., Short, T., &amp; Olsen, C. (2019). Statistics: Learning from data, AP edition. Cengage Learning, Inc.\" id=\"return-footnote-5182-2\" href=\"#footnote-5182-2\" aria-label=\"Footnote 2\"><sup class=\"footnote\">[2]<\/sup><\/a><\/p>\n<p>A researcher is interested in studying adult Swedish women who have osteoporosis. The researcher identifies a random sample of 300 adult women through Sweden\u2019s\u00a0 universal health system who have been diagnosed with osteoporosis. The researcher\u00a0 then asks the 300 women whether they would like to be involved in the study.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Question 1<\/h3>\n<p>What is the population of interest?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Swedish women<\/li>\n<li>Adult Swedish women with osteoporosis<\/li>\n<li>300 adult Swedish women with osteoporosis<\/li>\n<li>Swedish women with osteoporosis<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 2<\/h3>\n<p>What is the sample?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Swedish women<\/li>\n<li>Adult Swedish women with osteoporosis<\/li>\n<li>300 adult Swedish women with osteoporosis<\/li>\n<li>Swedish women with osteoporosis<\/li>\n<\/ol>\n<\/div>\n<p>The main campus of a university in Pennsylvania has a population of about 42,000\u00a0 students. A survey was administered to a sample of 2,000 students about whether or not they smoke.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Question 3<\/h3>\n<p>What is the population of interest?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\u00a042,000 students from the main campus of the university<\/li>\n<li>All students in college<\/li>\n<li>2,000 students from the main campus of the university<\/li>\n<li>Students from the main campus of the university who smoke<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 4<\/h3>\n<p>What is the sample?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>42,000 students from the main campus of the university<\/li>\n<li>All students in college<\/li>\n<li>2,000 students from the main campus of the university<\/li>\n<li>Students from the main campus of the university who smoke<\/li>\n<\/ol>\n<\/div>\n<p>Go to the DCMP Describing and Exploring Quantitative Variables tool at\u00a0 <a href=\"https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/\">https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a> and create a dotplot of the\u00a0 energy consumption of Organisation for Economic Co-operation and Development\u00a0 (OECD) countries using the Energy Consumption of Countries data (you will need to\u00a0 scroll down when searching for the dataset). Answer the following questions.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Question 5<\/h3>\n<p>What is the mean energy consumption of OECD countries?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>36<\/li>\n<li>195<\/li>\n<li>120<\/li>\n<li>125<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 6<\/h3>\n<p>What is the standard deviation of energy consumption of OECD countries?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>57.7<\/li>\n<li>246<\/li>\n<li>121<\/li>\n<li>120<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 7<\/h3>\n<p>What is the correct interpretation of the shape and center of the dotplot?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>The shape of the dotplot is unimodal with the center a little below 200 British\u00a0 thermal units (BTU).<\/li>\n<li>The shape of the dotplot is bimodal with the center around 400 BTU.<\/li>\n<li>The shape of the dotplot is unimodal with the center between 200 and 400 BTU.<\/li>\n<li>The shape of the dotplot is bimodal with the center around 200 BTU.<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 8<\/h3>\n<p>What is the correct interpretation of the variability of the dotplot?<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>The majority of the values of the dotplot range between 125 and 400 BTU, with\u00a0 one possible outlier value at 665 BTU.<\/li>\n<li>All of the values of the dotplot are between 125 and 200 BTU.<\/li>\n<li>All of the values of the dotplot are between 200 and 400 BTU.<\/li>\n<li>The majority of the values of the dotplot range between 0 and 125 BTU.<\/li>\n<\/ol>\n<\/div>\n<p>To write in notebook and bring to class: In statistics, when we want to describe the\u00a0 characteristics of a sample, we call the values statistics. However, when we want to\u00a0 describe the characteristics of a population, we call those values parameters.<\/p>\n<p>Remember: A statistic describes a characteristic of a sample, and a parameter\u00a0 describes a characteristic of a population.<\/p>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-5182-1\">Peck, R., Short, T., &amp; Olsen, C. (2019). <em>Statistics<\/em>: <em>Learning from data, AP edition.<\/em> Cengage Learning, Inc.  <a href=\"#return-footnote-5182-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><li id=\"footnote-5182-2\">Peck, R., Short, T., &amp; Olsen, C. (2019). <em>Statistics: Learning from data, AP edition.<\/em> Cengage Learning, Inc. <a href=\"#return-footnote-5182-2\" class=\"return-footnote\" aria-label=\"Return to footnote 2\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":574340,"menu_order":3,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5182","chapter","type-chapter","status-publish","hentry"],"part":5175,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5182","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5182\/revisions"}],"predecessor-version":[{"id":5183,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5182\/revisions\/5183"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5175"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5182\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5182"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5182"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5182"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}