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This learning resource is built upon the online textbook, Introductory Statistics, available free of charge from OpenStax University. The textbook material, itself, is provided in the PDF format. This means you should have a PDF reader, such as Acrobat Reader. It is available here for downloading, free of charge--tap the Acrobat Reader image to begin the installation process.

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Table of Contents

Chapter 1: Sampling and Data

1.1 Definitions of Statistics, Probability, and Key Terms

1.2 Data, Sampling, and Variation in Data and Sampling

1.3 Frequency, Frequency Tables, and Levels of Measurement

1.4 Experimental Design and Ethics

1.5 Data Collection Experiment

1.6 Sampling Experiment

Chapter 2: Descriptive Statistics

2.1 Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs

2.2 Histograms, Frequency Polygons, and Time Series Graphs

2.3 Measures of the Location of the Data

2.4 Box Plots

2.5 Measures of the Center of the Data

2.6 Skewness and the Mean, Median, and Mode

2.7 Measures of the Spread of the Data

2.8 Descriptive Statistics

Chapter 3: Probability Topics

3.1 Terminology

3.2 Independent and Mutually Exclusive Events

3.3 Two Basic Rules of Probability

3.4 Contingency Tables

3.5 Tree and Venn Diagrams

3.6 Probability Topics

Chapter 4: Discrete Random Variables

4.1 Probability Distribution Function (PDF) for a Discrete Random Variable

4.2 Mean or Expected Value and Standard Deviation

4.3 Binomial Distribution

4.4 Geometric Distribution

4.5 Hypergeometric Distribution

4.6 Poisson Distribution

4.7 Discrete Distribution (Playing Card Experiment)

4.8 Discrete Distribution (Lucky Dice Experiment)

Chapter 5: Continuous Random Variables

5.1 Continuous Probability Functions

5.2 The Uniform Distribution

5.3 The Exponential Distribution

5.4 Continuous Distribution

Chapter 6: The Normal Distribution

6.1 The Standard Normal Distribution

6.2 Using the Normal Distribution

6.3 Normal Distribution (Lap Times)

6.4 Normal Distribution (Pinkie Length)

Chapter 7: The Central Limit Theorem

7.1 The Central Limit Theorem for Sample Means (Averages)

7.2 The Central Limit Theorem for Sums

7.3 Using the Central Limit Theorem

7.4 Central Limit Theorem (Pocket Change)

7.5 Central Limit Theorem (Cookie Recipes)

Chapter 8: Confidence Intervals

8.1 A Single Population Mean using the Normal Distribution

8.2 A Single Population Mean using the Student t Distribution

8.3 A Population Proportion

8.4 Confidence Interval (Home Costs)

8.5 Confidence Interval (Place of Birth)

8.6 Confidence Interval (Women's Heights)

Chapter 9: Hypothesis Testing with One Sample

9.1 Null and Alternative Hypotheses

9.2 Outcomes and the Type I and Type II Errors

9.3 Distribution Needed for Hypothesis Testing

9.4 Rare Events, the Sample, Decision and Conclusion

9.5 Additional Information and Full Hypothesis Test Examples

9.6 Hypothesis Testing of a Single Mean and Single Proportion

Chapter 10: Hypothesis Testing with Two Samples

10.1 Two Population Means with Unknown Standard Deviations

10.2 Two Population Means with Known Standard Deviations

10.3 Comparing Two Independent Population Proportions

10.4 Matched or Paired Samples

10.5 Hypothesis Testing for Two Means and Two Proportions

Chapter 11: The Chi-Square Distribution

11.1 Facts About the Chi-Square Distribution

11.2 Goodness-of-Fit Test

11.3 Test of Independence

11.4 Test for Homogeneity

11.5 Comparison of the Chi-Square Tests

11.6 Test of a Single Variance

11.7 Lab 1: Chi-Square Goodness-of-Fit

11.8 Lab 2: Chi-Square Test of Independence

Chapter 12: Linear Regression and Correlation

12.1 Linear Equations

12.2 Scatter Plots

12.3 The Regression Equation

12.4 Testing the Significance of the Correlation Coefficient

12.5 Prediction

12.6 Outliers

12.7 Regression (Distance from School)

12.8 Regression (Textbook Cost)

12.9 Regression (Fuel Efficiency)

Chapter 13: F Distribution and One-Way ANOVA

13.1 One-Way ANOVA

13.2 The F Distribution and the F-Ratio

13.3 Facts About the F Distribution

13.4 Test of Two Variances

13.5 Lab: One-Way ANOVA

Appendix A: Review Exercises (Ch 3-13)

Appendix B: Practice Tests (1-4) and Final Exams

Appendix C: Data Sets

Appendix D: Group and Partner Projects

Appendix E: Solution Sheets

Appendix F: Mathematical Phrases, Symbols, and Formulas

Appendix G: Notes for the TI-83, 83+, 84, 84+ Calculators

Appendix H: Tables

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David L. Heiserman, Editor

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All Rights Reserved

Revised: June 06, 2015