http://cnx.org/content http://cnx.org/content/col10522/1.40 col10522 Collaborative Statistics 1.40 2008/04/18 16:49:29.983 GMT-5 2012/07/03 09:40:35.290 GMT-5 Barbara Illowsky Barbara Illowsky, Ph.D. illowskybarbara@deanza.edu Maxfield Foundation Maxfield Foundation cnx@cnx.org Susan Dean Susan Dean susanldean45@gmail.com Connexions Connexions cnx@cnx.org billowsky sdean billowsky sdean cnxorg MaxfieldFoundation anova binomial bivariate central chi confidence continuous data dean descriptive discrete distribution elementary exponential geometric hypergeometric hypothesis illowsky intervals limit linear mean normal poisson probability random regression sampling square statistics student-t testing theorem uniform univariate variables Mathematics and Statistics Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. en Preface View the Teacher's Guide Online View the Supplemental Course Materials Online View Textbook Adoption and Usage Additional Resources View the Textbook Online View the Teacher's Guide Supplemental Materials Version History Textbook Adoption and Usage Connexions Accessibility Features Collaborative Statistics Accessibility Features Author Acknowledgements Student Welcome Letter Sampling and Data Sampling and Data View the Teacher's Guide Online View the Video Lecture for this Chapter Statistics Probability Key Terms Data Sampling Variation Answers and Rounding Off Frequency Summary Practice: Sampling and Data Download handout (.pdf) Download handout (.doc) Homework Download handout (.pdf) Download handout (.doc) Lab 1: Data Collection Download handout (.pdf) Download handout (.doc) Lab 2: Sampling Experiment Download handout (.pdf) Download handout (.doc) Descriptive Statistics Descriptive Statistics View the Teacher's Guide Online View the Video Lecture for this Chapter Displaying Data Stem and Leaf Graphs (Stemplots), Line Graphs and Bar Graphs Histograms Box Plots Measures of the Location of the Data Measures of the Center of the Data Skewness and the Mean, Median, and Mode Measures of the Spread of the Data Summary of Formulas Practice 1: Center of the Data Download handout (.doc) Download handout (.pdf) Practice 2: Spread of the Data Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Lab: Descriptive Statistics Download handout (.doc) Download handout (.pdf) Probability Topics Probability Topics View the Teacher's Guide Online View the Video Lecture for this Chapter Terminology Independent and Mutually Exclusive Events Two Basic Rules of Probability Contingency Tables Venn Diagrams (optional) Tree Diagrams (optional) Summary of Formulas Practice 1: Contingency Tables Download handout (.doc) Download handout (.pdf) Practice 2: Calculating Probabilities Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab: Probability Topics Download handout (.doc) Download handout (.pdf) Discrete Random Variables Discrete Random Variables View the Teacher's Guide Online View the Video Lecture for this Chapter Probability Distribution Function (PDF) for a Discrete Random Variable Mean or Expected Value and Standard Deviation Common Discrete Probability Distribution Functions Binomial Geometric (optional) Hypergeometric (optional) Poisson Summary of Functions Practice 1: Discrete Distribution Download handout (.doc) Download handout (.pdf) Practice 2: Binomial Distribution Download handout (.doc) Download handout (.pdf) Practice 3: Poisson Distribution Download handout (.doc) Download handout (.pdf) Practice 4: Geometric Distribution Download handout (.doc) Download handout (.pdf) Practice 5: Hypergeometric Distribution Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab 1: Discrete Distribution (Playing Card Experiment) Download handout (.doc) Download handout (.pdf) Lab 2: Discrete Distribution (Lucky Dice Experiment) Download handout (.doc) Download handout (.pdf) Continuous Random Variables Continuous Random Variables View the Teacher's Guide Online View the Video Lecture for this Chapter Continuous Probability Functions The Uniform Distribution The Exponential Distribution Summary of the Uniform and Exponential Probability Distributions Practice 1: Uniform Distribution Download handout (.doc) Download handout (.pdf) Practice 2: Exponential Distribution Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab: Continuous Distribution Download handout (.doc) Download handout (.pdf) The Normal Distribution The Normal Distribution View the Video Lecture for this Chapter View the Teacher's Guide Online The Standard Normal Distribution Z-scores Areas to the Left and Right of x Calculations of Probabilities Summary of Formulas Practice: The Normal Distribution Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab 1: Normal Distribution (Lap Times) Download handout (.pdf) Download handout (.doc) Lab 2: Normal Distribution (Pinkie Length) Download handout (.doc) Download handout (.pdf) The Central Limit Theorem The Central Limit Theorem View the Video Lecture for this Chapter View the Teacher's Guide Online The Central Limit Theorem for Sample Means (Averages) The Central Limit Theorem for Sums Using the Central Limit Theorem Summary of Formulas Practice: The Central Limit Theorem Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab 1: Central Limit Theorem (Pocket Change) Download handout (.doc) Download handout (.pdf) Lab 2: Central Limit Theorem (Cookie Recipes) Download handout (.doc) Download handout (.pdf) Confidence Intervals Confidence Intervals View the Video Lecture for this Chapter View the Teacher's Guide Online Confidence Interval, Single Population Mean, Population Standard Deviation Known, Normal Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t Confidence Interval for a Population Proportion Summary of Formulas Practice 1: Confidence Intervals for Means, Known Population Standard Deviation Download handout (.doc) Download handout (.pdf) Practice 2: Confidence Intervals for Means, Unknown Population Standard Deviation Download handout (.doc) Download handout (.pdf) Practice 3: Confidence Intervals for Proportions Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab 1: Confidence Interval (Home Costs) Download handout (.doc) Download handout (.pdf) Lab 2: Confidence Interval (Place of Birth) Download handout (.doc) Download handout (.pdf) Lab 3: Confidence Interval (Womens' Heights) Download handout (.doc) Download handout (.pdf) Hypothesis Testing: Single Mean and Single Proportion Hypothesis Testing: Single Mean and Single Proportion View the Video Lecture for this Chapter View the Teacher's Guide Online Null and Alternate Hypotheses Outcomes and the Type I and Type II Errors Distribution Needed for Hypothesis Testing Assumption Rare Events Using the Sample to Test the Null Hypothesis Decision and Conclusion Additional Information Summary of the Hypothesis Test Examples Summary of Formulas Practice 1: Single Mean, Known Population Standard Deviation Download handout (.doc) Download handout (.pdf) Practice 2: Single Mean, Unknown Population Standard Deviation Download handout (.doc) Download handout (.pdf) Practice 3: Single Proportion Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab: Hypothesis Testing of a Single Mean and Single Proportion Download handout (.doc) Download handout (.pdf) Hypothesis Testing: Two Means, Paired Data, Two Proportions Hypothesis Testing: Two Population Means and Two Population Proportions View the Video Lecture for this Chapter View the Teacher's Guide Online Comparing Two Independent Population Means with Unknown Population Standard Deviations Comparing Two Independent Population Means with Known Population Standard Deviations Comparing Two Independent Population Proportions Matched or Paired Samples Summary of Types of Hypothesis Tests Practice 1: Hypothesis Testing for Two Proportions Download handout (.doc) Download handout (.pdf) Practice 2: Hypothesis Testing for Two Averages Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab: Hypothesis Testing for Two Means and Two Proportions Download handout (.doc) Download handout (.pdf) The Chi-Square Distribution The Chi-Square Distribution View the Video Lecture for this Chapter View the Teacher's Guide Online Notation Facts About the Chi-Square Distribution Goodness-of-Fit Test Test of Independence The Chi-Square Distribution: Test for Homogeneity The Chi-Square Distribution: Comparison Summary of the Chi-Square Tests Goodness-of-Fit, Independence and Homogeneity Test of a Single Variance Summary of Formulas Practice 1: Goodness-of-Fit Test Download handout (.doc) Download handout (.pdf) Practice 2: Contingency Tables Download handout (.doc) Download handout (.pdf) Practice 3: Test of a Single Variance Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab 1: Chi-Square Goodness-of-Fit Download handout (.doc) Download handout (.pdf) Lab 2: Chi-Square Test for Independence Download handout (.doc) Download handout (.pdf) Linear Regression and Correlation Linear Regression and Correlation View the Video Lecture for this Chapter View the Teacher's Guide Online Linear Equations Slope and Y-Intercept of a Linear Equation Scatter Plots The Regression Equation Correlation Coefficient and Coefficient of Determination Testing the Significance of the Correlation Coefficient Prediction Outliers 95% Critical Values of the Sample Correlation Coefficient Table Summary Practice: Linear Regression Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Lab 1: Regression (Distance from School) Download handout (.doc) Download handout (.pdf) Lab 2: Regression (Textbook Cost) Download handout (.doc) Download handout (.pdf) Lab 3: Regression (Fuel Efficiency) Download handout (.doc) Download handout (.pdf) F Distribution and One-Way ANOVA F Distribution and One-Way ANOVA View the Teacher's Guide Online One-Way ANOVA The F Distribution and the F Ratio Facts About the F Distribution Test of Two Variances Summary Practice: One-Way ANOVA Download handout (.doc) Download handout (.pdf) Homework Download handout (.doc) Download handout (.pdf) Review Download handout (.doc) Download handout (.pdf) Lab: One-Way ANOVA Download handout (.doc) Download handout (.pdf) Appendix Practice Final Exam 1 Practice Final Exam 2 Data Sets Group Projects Group Project: Univariate Data Group Project: Continuous Distributions and Central Limit Theorem Partner Project: Hypothesis Testing - Article Partner Project: Hypothesis Testing - Word Problem Group Project: Bivariate Data, Linear Regression, and Univariate Data Solution Sheets Solution Sheet: Hypothesis Testing for Single Mean and Single Proportion Download handout (.doc) Download handout (.pdf) Solution Sheet: Hypothesis Testing for Two Means, Paired Data, and Two Proportions Download handout (.doc) Download handout (.pdf) Solution Sheet: The Chi-Square Distribution Download handout (.doc) Download handout (.pdf) Solution Sheet: F Distribution and One-Way ANOVA Download handout (.doc) Download handout (.pdf) English Phrases Written Mathematically Symbols and their Meanings Formulas Notes for the TI-83, 83+, 84 Calculator Download the original notes for distributions (PDF) Download the original notes (PDF) Tables