{"id":2769,"date":"2021-11-29T18:57:33","date_gmt":"2021-11-29T18:57:33","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2769"},"modified":"2021-12-08T13:08:31","modified_gmt":"2021-12-08T13:08:31","slug":"learning-outcomes","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/learning-outcomes\/","title":{"raw":"Learning Outcomes","rendered":"Learning Outcomes"},"content":{"raw":"<img class=\"aligncenter wp-image-254\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes.jpg\" alt=\"icon of a magnifying glass over a list\" width=\"200\" height=\"201\" \/>\r\n\r\nThe textbook\u00a0content and assessments for Introduction to Statistics are aligned to the following learning outcomes.\u00a0A full list of course learning outcomes can be viewed here: <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/19X8qQ50mExhY23uwqoGeCCk6XLqAWDdwT9fkBjRmOlM\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Introduction to Statistics Corequisite Learning Outcomes<\/a>.\r\n<h2>Module 1: Sampling and Data<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Algebra Essentials.<\/li>\r\n \t<li>Definitions of Statistics, Probability, and Key Terms.<\/li>\r\n \t<li>Data, Sampling, and Variation in Data and Sampling.<\/li>\r\n \t<li>Frequency, Frequency Tables, and Levels of Measurement.<\/li>\r\n \t<li>Experimental Design and Ethics.<\/li>\r\n<\/ul>\r\n<h2>Module 2: Descriptive Statistics<\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Descriptive Statistics.<\/li>\r\n \t<li>Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs.<\/li>\r\n \t<li>Histograms, Frequency Polygons, and Time Series Graphs.<\/li>\r\n \t<li>Measures of the Location of the Data.<\/li>\r\n \t<li>Box Plots.<\/li>\r\n \t<li>Measures of the Center of the Data.<\/li>\r\n \t<li>Skewness and the Mean, Median, and Mode.<\/li>\r\n \t<li>Measures of the Spread of the Data.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 3: Probability Topics<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Probability Topics.<\/li>\r\n \t<li>Terminology.<\/li>\r\n \t<li>Independent and Mutually Exclusive Events.<\/li>\r\n \t<li>Two Basic Rules of Probability.<\/li>\r\n \t<li>Contingency Tables.<\/li>\r\n \t<li>Tree and Venn Diagrams.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 4: Discrete Random Variables<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Discrete Random Variables.<\/li>\r\n \t<li>Probability Distribution Function (PDF) for a Discrete Random Variable.<\/li>\r\n \t<li>Mean or Expected Value and Standard Deviation.<\/li>\r\n \t<li>Binomial Distribution.<\/li>\r\n \t<li>Geometric Distribution.<\/li>\r\n \t<li>Hypergeometric Distribution.<\/li>\r\n \t<li>Poisson Distribution.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 5: Continuous Random Variables<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Continuous Random Variables.<\/li>\r\n \t<li>Continuous Probability Functions.<\/li>\r\n \t<li>The Uniform Distribution.<\/li>\r\n \t<li>The Exponential Distribution.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 6: The Normal Distribution<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in The Normal Distribution.<\/li>\r\n \t<li>The Standard Normal Distribution.<\/li>\r\n \t<li>Using the Normal Distribution.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 7: The Central Limit Theorem<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in The Central Limit Theorem.<\/li>\r\n \t<li>The Central Limit Theorem for Sample Means (Averages).<\/li>\r\n \t<li>The Central Limit Theorem for Sums.<\/li>\r\n \t<li>Using the Central Limit Theorem.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 8: Confidence Intervals<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Confidence Intervals.<\/li>\r\n \t<li>A Single Population Mean using the Normal Distribution.<\/li>\r\n \t<li>A Single Population Mean using the Student t Distribution.<\/li>\r\n \t<li>A Population Proportion.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 9: Hypothesis Testing With One Sample<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Hypothesis Testing with One Sample.<\/li>\r\n \t<li>Null and Alternative Hypotheses.<\/li>\r\n \t<li>Outcomes and the Type I and Type II Errors.<\/li>\r\n \t<li>Distribution Needed for Hypothesis Testing.<\/li>\r\n \t<li>Rare Events, the Sample, Decision and Conclusion.<\/li>\r\n \t<li>Additional Information and Full Hypothesis Test Examples.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 10: Hypothesis Testing With Two Samples<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Hypothesis Testing with Two Samples.<\/li>\r\n \t<li>Two Population Means with Unknown Standard Deviations.<\/li>\r\n \t<li>Two Population Means with Known Standard Deviations.<\/li>\r\n \t<li>Comparing Two Independent Population Proportions.<\/li>\r\n \t<li>Matched or Paired Samples.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 11: The Chi Square Distribution<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in The Chi-Square Distribution.<\/li>\r\n \t<li>Facts About the Chi-Square Distribution.<\/li>\r\n \t<li>Goodness-of-Fit Test.<\/li>\r\n \t<li>Test of Independence.<\/li>\r\n \t<li>Test for Homogeneity.<\/li>\r\n \t<li>Comparison of the Chi-Square Tests.<\/li>\r\n \t<li>Test of a Single Variance.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 12: Linear Regression and Correlation<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in Linear Regression and Correlation.<\/li>\r\n \t<li>Linear Equations.<\/li>\r\n \t<li>Scatter Plots.<\/li>\r\n \t<li>The Regression Equation.<\/li>\r\n \t<li>Testing the Significance of the Correlation Coefficient.<\/li>\r\n \t<li>Prediction.<\/li>\r\n \t<li>Outliers.<\/li>\r\n<\/ul>\r\n<h2><strong>Module 13: F-Distribution and the One-Way ANOVA<\/strong><\/h2>\r\n<ul>\r\n \t<li>Review topics needed for success in F Distribution and One-Way ANOVA.<\/li>\r\n \t<li>One-Way ANOVA.<\/li>\r\n \t<li>The F Distribution and the F-Ratio.<\/li>\r\n \t<li>Facts About the F Distribution.<\/li>\r\n \t<li>Test of Two Variances.<\/li>\r\n<\/ul>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-254\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes.jpg\" alt=\"icon of a magnifying glass over a list\" width=\"200\" height=\"201\" \/><\/p>\n<p>The textbook\u00a0content and assessments for Introduction to Statistics are aligned to the following learning outcomes.\u00a0A full list of course learning outcomes can be viewed here: <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/19X8qQ50mExhY23uwqoGeCCk6XLqAWDdwT9fkBjRmOlM\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Introduction to Statistics Corequisite Learning Outcomes<\/a>.<\/p>\n<h2>Module 1: Sampling and Data<\/h2>\n<ul>\n<li>Review topics needed for success in Algebra Essentials.<\/li>\n<li>Definitions of Statistics, Probability, and Key Terms.<\/li>\n<li>Data, Sampling, and Variation in Data and Sampling.<\/li>\n<li>Frequency, Frequency Tables, and Levels of Measurement.<\/li>\n<li>Experimental Design and Ethics.<\/li>\n<\/ul>\n<h2>Module 2: Descriptive Statistics<\/h2>\n<ul>\n<li>Review topics needed for success in Descriptive Statistics.<\/li>\n<li>Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs.<\/li>\n<li>Histograms, Frequency Polygons, and Time Series Graphs.<\/li>\n<li>Measures of the Location of the Data.<\/li>\n<li>Box Plots.<\/li>\n<li>Measures of the Center of the Data.<\/li>\n<li>Skewness and the Mean, Median, and Mode.<\/li>\n<li>Measures of the Spread of the Data.<\/li>\n<\/ul>\n<h2><strong>Module 3: Probability Topics<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in Probability Topics.<\/li>\n<li>Terminology.<\/li>\n<li>Independent and Mutually Exclusive Events.<\/li>\n<li>Two Basic Rules of Probability.<\/li>\n<li>Contingency Tables.<\/li>\n<li>Tree and Venn Diagrams.<\/li>\n<\/ul>\n<h2><strong>Module 4: Discrete Random Variables<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in Discrete Random Variables.<\/li>\n<li>Probability Distribution Function (PDF) for a Discrete Random Variable.<\/li>\n<li>Mean or Expected Value and Standard Deviation.<\/li>\n<li>Binomial Distribution.<\/li>\n<li>Geometric Distribution.<\/li>\n<li>Hypergeometric Distribution.<\/li>\n<li>Poisson Distribution.<\/li>\n<\/ul>\n<h2><strong>Module 5: Continuous Random Variables<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in Continuous Random Variables.<\/li>\n<li>Continuous Probability Functions.<\/li>\n<li>The Uniform Distribution.<\/li>\n<li>The Exponential Distribution.<\/li>\n<\/ul>\n<h2><strong>Module 6: The Normal Distribution<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in The Normal Distribution.<\/li>\n<li>The Standard Normal Distribution.<\/li>\n<li>Using the Normal Distribution.<\/li>\n<\/ul>\n<h2><strong>Module 7: The Central Limit Theorem<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in The Central Limit Theorem.<\/li>\n<li>The Central Limit Theorem for Sample Means (Averages).<\/li>\n<li>The Central Limit Theorem for Sums.<\/li>\n<li>Using the Central Limit Theorem.<\/li>\n<\/ul>\n<h2><strong>Module 8: Confidence Intervals<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in Confidence Intervals.<\/li>\n<li>A Single Population Mean using the Normal Distribution.<\/li>\n<li>A Single Population Mean using the Student t Distribution.<\/li>\n<li>A Population Proportion.<\/li>\n<\/ul>\n<h2><strong>Module 9: Hypothesis Testing With One Sample<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in Hypothesis Testing with One Sample.<\/li>\n<li>Null and Alternative Hypotheses.<\/li>\n<li>Outcomes and the Type I and Type II Errors.<\/li>\n<li>Distribution Needed for Hypothesis Testing.<\/li>\n<li>Rare Events, the Sample, Decision and Conclusion.<\/li>\n<li>Additional Information and Full Hypothesis Test Examples.<\/li>\n<\/ul>\n<h2><strong>Module 10: Hypothesis Testing With Two Samples<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in Hypothesis Testing with Two Samples.<\/li>\n<li>Two Population Means with Unknown Standard Deviations.<\/li>\n<li>Two Population Means with Known Standard Deviations.<\/li>\n<li>Comparing Two Independent Population Proportions.<\/li>\n<li>Matched or Paired Samples.<\/li>\n<\/ul>\n<h2><strong>Module 11: The Chi Square Distribution<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in The Chi-Square Distribution.<\/li>\n<li>Facts About the Chi-Square Distribution.<\/li>\n<li>Goodness-of-Fit Test.<\/li>\n<li>Test of Independence.<\/li>\n<li>Test for Homogeneity.<\/li>\n<li>Comparison of the Chi-Square Tests.<\/li>\n<li>Test of a Single Variance.<\/li>\n<\/ul>\n<h2><strong>Module 12: Linear Regression and Correlation<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in Linear Regression and Correlation.<\/li>\n<li>Linear Equations.<\/li>\n<li>Scatter Plots.<\/li>\n<li>The Regression Equation.<\/li>\n<li>Testing the Significance of the Correlation Coefficient.<\/li>\n<li>Prediction.<\/li>\n<li>Outliers.<\/li>\n<\/ul>\n<h2><strong>Module 13: F-Distribution and the One-Way ANOVA<\/strong><\/h2>\n<ul>\n<li>Review topics needed for success in F Distribution and One-Way ANOVA.<\/li>\n<li>One-Way ANOVA.<\/li>\n<li>The F Distribution and the F-Ratio.<\/li>\n<li>Facts About the F Distribution.<\/li>\n<li>Test of Two Variances.<\/li>\n<\/ul>\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-2769\">\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>Learning Outcomes. <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>Magnify. <strong>Authored by<\/strong>: Eucalyp. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/magnify\/1276779\/\">https:\/\/thenounproject.com\/term\/magnify\/1276779\/<\/a>. <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>\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":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Magnify\",\"author\":\"Eucalyp\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/magnify\/1276779\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Learning Outcomes\",\"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-2769","chapter","type-chapter","status-publish","hentry"],"part":2761,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2769","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":6,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2769\/revisions"}],"predecessor-version":[{"id":2928,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2769\/revisions\/2928"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/2761"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2769\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2769"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2769"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2769"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2769"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}