{"id":4897,"date":"2022-08-16T18:17:57","date_gmt":"2022-08-16T18:17:57","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=4897"},"modified":"2022-08-23T01:07:13","modified_gmt":"2022-08-23T01:07:13","slug":"13a-preview","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/13a-preview\/","title":{"raw":"13A Preview","rendered":"13A Preview"},"content":{"raw":"Preparing for the next class\r\n\r\nIn the next class, you will need to be able to calculate the mean and standard deviation\u00a0 of a variable, create a histogram, and describe the shape and spread of a histogram.\u00a0 You will also need to describe null and alternative hypotheses and identify the\u00a0 difference between one-tailed and two-tailed hypothesis tests.\r\n\r\nFor Questions 1\u20134: Use the DCMP Describing and Exploring Quantitative Variables tool\u00a0 at https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/ and select the dataset \u201cCO2\u00a0 Emissions of EU Countries\u201d to answer the following questions.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 1<\/h3>\r\n1) What is the mean per capita CO2 emission of European Union (EU) countries?\r\n\r\na) 28 metric tons\r\n\r\nb) 3.6 metric tons\r\n\r\nc) 7.86 metric tons\r\n\r\nd) 3.61 metric tons\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 2<\/h3>\r\n2) What is the standard deviation of per capita CO2 emissions of EU countries?\r\n\r\na) 28 metric tons\r\n\r\nb) 3.6 metric tons\r\n\r\nc) 7.86 metric tons\r\n\r\nd) 3.61 metric tons\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 3<\/h3>\r\n3) Create a histogram of per capita CO2 emissions of EU countries. Is there a possible outlier in the dataset?\r\n\r\na) Yes\r\n\r\nb) No\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 4<\/h3>\r\n4) Which of the following statements is correct about the shape and spread of the histogram of per capita CO2 emissions of EU countries?\r\n\r\na) The distribution of per capita CO2 emissions of EU countries is skewed. The center of the data is around 7\u20138 metric tons, and most of the data are between\u00a0 about 3 metric tons to about 14 metric tons.\r\n\r\nb) The distribution of per capita CO2 emissions of EU countries is approximately\u00a0 normal. The center of the data is around 5 metric tons, and most of the data are\u00a0 between 3 metric tons to about 14 metric tons.\r\n\r\nc) The distribution of per capita CO2 emissions of EU countries is skewed towards\u00a0 the left. The center of the data is around 10 metric tons, and most of the data are\u00a0 between 2 metric tons to 20 metric tons.\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 5<\/h3>\r\n5) The process of hypothesis testing starts with the assumption that ____.\r\n\r\na) the null hypothesis is true\r\n\r\nb) the null hypothesis is false\r\n\r\nc) the alternative hypothesis is true\r\n\r\nd) the null and alternative hypotheses are true\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 6<\/h3>\r\n6) Which of the following represents a two-tailed hypothesis?\r\n\r\na) [latex]p_{1}-p_{2}\\neq0[\/latex]\r\n\r\nb) [latex]p_{1}-p_{2}&lt;0[\/latex]\r\n\r\nc) [latex]p_{1}-p_{2}&gt;0[\/latex]\r\n\r\nd) [latex]p_{1}-p_{2}\\ge0[\/latex]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 7<\/h3>\r\n7) Which of the following represents a one-tailed hypothesis test where the population\u00a0 proportion for Sample 1 ([latex]p_{1}[\/latex]) is larger than the population proportion for Sample 2 ([latex]p_{2}[\/latex])?\r\n\r\na) [latex]p_{1}-p_{2}\\neq0[\/latex]\r\n\r\nb) [latex]p_{1}-p_{2}&lt;0[\/latex]\r\n\r\nc) [latex]p_{1}-p_{2}&gt;0[\/latex]\r\n\r\nd) [latex]p_{1}-p_{2}\\ge0[\/latex]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 8<\/h3>\r\n8) Determine whether this statement is true or false: The alternative hypothesis states that there is no difference\/no effect.\r\n\r\na) True\r\n\r\nb) False\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Question 9<\/h3>\r\n9) In the next in-class activity, you will be introduced to the two assumptions that are needed for hypothesis tests for means:\r\n<ul>\r\n \t<li>The first assumption is a random sample from the population of interest.<\/li>\r\n \t<li>The second assumption is a normal population distribution or large sample size.<\/li>\r\n<\/ul>\r\nWrite down these assumptions in your notebook and have them ready to use in class.\r\n\r\n<\/div>","rendered":"<p>Preparing for the next class<\/p>\n<p>In the next class, you will need to be able to calculate the mean and standard deviation\u00a0 of a variable, create a histogram, and describe the shape and spread of a histogram.\u00a0 You will also need to describe null and alternative hypotheses and identify the\u00a0 difference between one-tailed and two-tailed hypothesis tests.<\/p>\n<p>For Questions 1\u20134: Use the DCMP Describing and Exploring Quantitative Variables tool\u00a0 at https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/ and select the dataset \u201cCO2\u00a0 Emissions of EU Countries\u201d to answer the following questions.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Question 1<\/h3>\n<p>1) What is the mean per capita CO2 emission of European Union (EU) countries?<\/p>\n<p>a) 28 metric tons<\/p>\n<p>b) 3.6 metric tons<\/p>\n<p>c) 7.86 metric tons<\/p>\n<p>d) 3.61 metric tons<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 2<\/h3>\n<p>2) What is the standard deviation of per capita CO2 emissions of EU countries?<\/p>\n<p>a) 28 metric tons<\/p>\n<p>b) 3.6 metric tons<\/p>\n<p>c) 7.86 metric tons<\/p>\n<p>d) 3.61 metric tons<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 3<\/h3>\n<p>3) Create a histogram of per capita CO2 emissions of EU countries. Is there a possible outlier in the dataset?<\/p>\n<p>a) Yes<\/p>\n<p>b) No<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 4<\/h3>\n<p>4) Which of the following statements is correct about the shape and spread of the histogram of per capita CO2 emissions of EU countries?<\/p>\n<p>a) The distribution of per capita CO2 emissions of EU countries is skewed. The center of the data is around 7\u20138 metric tons, and most of the data are between\u00a0 about 3 metric tons to about 14 metric tons.<\/p>\n<p>b) The distribution of per capita CO2 emissions of EU countries is approximately\u00a0 normal. The center of the data is around 5 metric tons, and most of the data are\u00a0 between 3 metric tons to about 14 metric tons.<\/p>\n<p>c) The distribution of per capita CO2 emissions of EU countries is skewed towards\u00a0 the left. The center of the data is around 10 metric tons, and most of the data are\u00a0 between 2 metric tons to 20 metric tons.<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 5<\/h3>\n<p>5) The process of hypothesis testing starts with the assumption that ____.<\/p>\n<p>a) the null hypothesis is true<\/p>\n<p>b) the null hypothesis is false<\/p>\n<p>c) the alternative hypothesis is true<\/p>\n<p>d) the null and alternative hypotheses are true<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 6<\/h3>\n<p>6) Which of the following represents a two-tailed hypothesis?<\/p>\n<p>a) [latex]p_{1}-p_{2}\\neq0[\/latex]<\/p>\n<p>b) [latex]p_{1}-p_{2}<0[\/latex]\n\nc) [latex]p_{1}-p_{2}>0[\/latex]<\/p>\n<p>d) [latex]p_{1}-p_{2}\\ge0[\/latex]<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 7<\/h3>\n<p>7) Which of the following represents a one-tailed hypothesis test where the population\u00a0 proportion for Sample 1 ([latex]p_{1}[\/latex]) is larger than the population proportion for Sample 2 ([latex]p_{2}[\/latex])?<\/p>\n<p>a) [latex]p_{1}-p_{2}\\neq0[\/latex]<\/p>\n<p>b) [latex]p_{1}-p_{2}<0[\/latex]\n\nc) [latex]p_{1}-p_{2}>0[\/latex]<\/p>\n<p>d) [latex]p_{1}-p_{2}\\ge0[\/latex]<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 8<\/h3>\n<p>8) Determine whether this statement is true or false: The alternative hypothesis states that there is no difference\/no effect.<\/p>\n<p>a) True<\/p>\n<p>b) False<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Question 9<\/h3>\n<p>9) In the next in-class activity, you will be introduced to the two assumptions that are needed for hypothesis tests for means:<\/p>\n<ul>\n<li>The first assumption is a random sample from the population of interest.<\/li>\n<li>The second assumption is a normal population distribution or large sample size.<\/li>\n<\/ul>\n<p>Write down these assumptions in your notebook and have them ready to use in class.<\/p>\n<\/div>\n","protected":false},"author":23592,"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-4897","chapter","type-chapter","status-publish","hentry"],"part":4875,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4897","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\/23592"}],"version-history":[{"count":9,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4897\/revisions"}],"predecessor-version":[{"id":5442,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4897\/revisions\/5442"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/4875"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4897\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=4897"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=4897"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=4897"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=4897"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}