Essentials of Statistics

(Each Chapter begins with an Overview)

1. Introduction to Statistics


The Nature of Data



Uses and Abuses of Statistics



Design of Experiments



2. Describing, Exploring, and Comparing Data


Summarizing Data with Frequency Tables



Pictures of Data



Measures of Center



Measures of Variation.



Measures of Position



Exploratory Data Analysis (EDA)



3. Probability


Fundamentals



Addition Rule



Multiplication Rule: Basics



Multiplication Rule: Complements and Conditional Probability



Counting



4. Probability Distributions


Random Variables



Binomial Probability Distributions



Mean, Variance, and Standard Deviation for the Binomial Distribution



5. Normal Probability Distributions


The Standard Normal Distribution



Nonstandard Normal Distributions: Finding Probabilities



Nonstandard Normal Distributions: Finding Values



The Central Limit Theorem



Normal Distribution as Approximation to Binomial Distribution



6. Estimates and Sample Sizes


Estimating a Population Mean: Large Samples



Estimating a Population Mean: Small Samples



Determining Sample Size



Estimating a Population Proportion



Estimating a Population Variance



7. Hypothesis Testing


Fundamentals of Hypothesis Testing



Testing a Claim about a Mean: Large Samples



Testing a Claim about a Mean: Small Samples



Testing a Claim about a Proportion



Testing a Claim about a Standard Deviation or Variance



8. Inferences from Two Samples


Inferences about Two Means: Independent and Large Samples



Inferences about Two Means: Matched Pairs



Inferences about Two Proportions



9. Correlation and Regression


Correlation



Regression



Variation and Prediction Intervals



10. Chi-Square and Analysis of Variance


Multinomial Experiments: Goodness-0f-Fit



Contingency Tables: Independence and Homogeneity



One-Way ANOVA



Appendices


Appendix A: Tables



Appendix B: Data Sets



Appendix C: TI-83 Plus Reference



Appendix D: Answers to Odd-Numbered Exercises (and All Review Chapter Exercises and All Cumulative Review Exercises)



Credits