Elementary Statistics Using the Graphing Calculator

1. Introduction to Statistics


Overview



Types of Data



Critical Thinking



Design of Experiments



Introduction to the TI-83 and TI-84 Plus Calculators



2. Describing, Exploring, and Comparing Data


Overview



Frequency Distributions



Visualizing Data



Measures of Center



Measures of Variation



Measures of Relative Standing



Exploratory Data Analysis (EDA)



3. Probability


Overview



Fundamentals



Addition Rule



Multiplication Rule: Basics



Multiplication Rule: Complements and Conditional Probability



Probabilities Through Simulations



Counting



4. Probability Distributions


Overview



Random Variables



Binomial Probability Distributions



Mean, Variance, and Standard Deviation for the Binomial Distribution



The Poisson Distribution



5. Normal Probability Distributions


Overview



The Standard Normal Distribution



Applications of Normal Distributions



Sampling Distributions and Estimators



The Central Limit Theorem



Normal as Approximation to Binomial



Determining Normality



6. Estimates and Sample Sizes


Overview



Estimating a Population Proportion



Estimating a Population Mean: µ Known



Estimating a Population Mean: µ Not Known



Estimating a Population Variance



7. Hypothesis Testing


Overview



Basics of Hypothesis Testing



Testing a Claim about a Proportion



Testing a Claim about a Mean: µ Known



Testing a Claim about a Mean: µ Not Known



Testing a Claim about a Standard Deviation or Variance



8. Inferences from Two Samples


Overview



Inferences about Two Proportions



Inferences about Two Means: Independent Samples



Inferences from Matched Pairs



Comparing Variation in Two Samples



9. Correlation and Regression


Overview



Correlation



Regression



Variation and Prediction Intervals



Multiple Regression



Modeling



10. Multinomial Experiments and Contingency Tables


Overview



Multinomial Experiments: Goodness-of-Fit



Contingency Tables: Independence and Homogeneity



11. Analysis of Variance


Overview



One-Way ANOVA



Two-Way ANOVA



12. Nonparametric Statistics


Overview



Sign Test



Wilcoxon Signed-Ranks Test for Matched Pairs



Wilcoxon Rank-Sum Test for Two Independent Samples



Kruskal-Wallis Test



Rank Correlation



Runs Test for Randomness



13. Statistical Process Control


Overview



Control Charts for Variation and Mean



Control Charts for Attributes



14. Projects, Procedures, Perspectives


Projects



Procedure



Perspective



Appendices


Appendix A: Tables



Appendix B: Data Sets



Appendix C: TI-83 Plus Reference



Appendix D: Glossary



Appendix E: Bibliography



Appendix F: Answers to Odd-Numbered Exercises (and all Review Exercises and all Cumulative Review Exercises)



Credits


Index