# Essentials of Statistics

**by**Triola, Mario F.

### 9780321641496

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## Summary

## Author Biography

**Mario F. Triola** is a Professor Emeritus of Mathematics at Dutchess Community College, where he has taught statistics for over 30 years. In addition to this text, Marty is the author of *Elementary Statistics*, *Elementary Statistics Using Excel*, *Elementary Statistics Using the TI-83/84 Plus Calculator, *and he is a co-author of *Biostatistics for the Biological and Health Sciences, Statistical Reasoning for Everyday Life *and *Business Statistics. *He has written several manuals and workbooks for technology supporting statistics education. Outside of the classroom, Marty has been a speaker at many conferences and colleges. His consulting work includes the design of casino slot machines and fishing rods, and he has worked with attorneys in determining probabilities in paternity lawsuits, identifying salary inequities based on gender, analyzing disputed election results, analyzing medical data, and analyzing medical school surveys. Marty has testified as an expert witness in New York State Supreme Court. The Text and Academic Authors Association has awarded Mario F. Triola a "Texty" for Excellence for his work on *Elementary Statistics*.

## Table of Contents

**1. Introduction to Statistics**

1-1. Review and Preview

1-2. Statistical Thinking

1-3. Types of Data

1-4. Critical Thinking

1-5. Design of Experiments

**2. Summarizing and Graphing Data**

2-1. Review and Preview

2-2. Frequency Distributions

2-3. Histograms

2-4. Statistical Graphics

2-5. Critical Thinking: Bad Graphs

**3. Statistics for Describing, Exploring, and Comparing Data**

3-1. Review and Preview

3-2. Measures of Center

3-3. Measures of Variation

3-4. Measures of Relative Standing and Boxplots

**4. Probability**

4-1. Review and Preview

4-2. Fundamentals

4-3. Addition Rule

4-4. Multiplication Rule: Basics

4-5. Multiplication Rule: Complements and Conditional Probability

4-6. Counting

4-7. Bayes' Theorem (on CD-ROM)

**5. Discrete Probability Distributions**

5-1. Review and Preview

5-2. Random Variables

5-3. Binomial Probability Distributions

5-4. Mean, Variance, and Standard Deviation for the Binomial Distribution

**6. Normal Probability Distributions**

6-1. Review and Preview

6-2. The Standard Normal Distribution

6-3. Applications of Normal Distributions

6-4. Sampling Distributions and Estimators

6-5. The Central Limit Theorem

6-6. Normal as Approximation to Binomial

6-.7 Assessing Normality

**7. Estimates and Sample Sizes**

7-1. Review and Preview

7-2. Estimating at Population Proportion

7-3. Estimating Population Mean: ? Known

7-4. Estimating a Population Mean: ? Not Known

7-5. Estimating a Population Variance

**8. Hypothesis Testing**

8-1. Review and Preview

8-2. Basics of Hypothesis Testing

8-3. Testing a Claim About a Proportion

8-4. Testing a Claim About a Mean: ? Known

8-5. Testing a Claim About a Mean: ? Not Known

8-6. Testing a Claim About Variation

**9. Inferences from Two Samples**

9-1. Review and Preview

9-2. Inferences About Two Proportions

9-3. Inferences About Two Means: Independent Samples

9-4. Inferences from Matched Pairs

**10. Correlation and Regression**

10-1. Review and Preview

10-2. Correlation

10-3. Contingency Tables

10-4. Variation and Prediction Intervals

10-5. Rank Correlation

**11. Chi-Square and Analysis of Variance**

11-1. Review and Preview

11-2. Goodness-of-Fit

11-3. Contingency Tables

11-4. Analysis of Variance

Appendices

Appendix A: Tables

Appendix B: Data Sets

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

Credits

Index