Table of Contents:

Chapter 1: Sampling and Data

Introduction to 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

Chapter 1 Review

Chapter 1 Practice

Chapter 1 Homework

Chapter 2: Descriptive Statistics

Introduction to 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

Chapter 2 Review

Chapter 2 Practice

Chapter 2 Homework

Chapter 3: Probability Topics

Introduction to 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

Chapter 3 Review

Chapter 3 Practice

Chapter 3 Homework

Chapter 4: Discrete Random Variables

Introduction to Chapter 4: Discrete Random Variables

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

4.2 Measures of General Discrete Random Variables

4.3 Binomial Distribution

4.4 Geometric Distribution

4.5 Hypergeometric Distribution

4.6 Poisson Distribution

Chapter 4 Review

Chapter 4 Practice

Chapter 4 Homework

Chapter 5: Continuous Random Variables

Introduction to Chapter 5: Continuous Random Variables

5.1 Continuous Probability Functions

5.2 The Uniform Distribution

5.3 The Exponential Distribution

Chapter 5 Review

Chapter 5 Practice

Chapter 5 Homework

Chapter 6: The Normal Distribution and The Central Limit Theorem

Introduction to Chapter 6a: The Normal Distribution

6.1 The Standard Normal Distribution

6.2 Using the Normal Distribution

Introduction to Chapter 6b: The Central Limit Theorem

6.3 The Central Limit Theorem for Sample Means (Averages)

6.4 The Central Limit Theorem for Sums

6.5 The Normal Approximation to the Binomial

Chapter 6 Review

Chapter 6 Practice

Chapter 6 Homework

Chapter 7: Confidence Intervals

Introduction to Chapter 7: Confidence Intervals

7.1 A Single Population Mean Using the Normal Distribution

7.2 A Single Population Mean using the Student t Distribution

7.3 A Population Proportion

Chapter 7 Review

Chapter 7 Practice

Chapter 7 Homework

Chapter 8: Hypothesis Testing with One Sample

Introduction to Chapter 8: Hypothesis Testing with One Sample

8.1 Null and Alternative Hypotheses

8.2 Outcomes and the Type I and Type II Errors

8.3 Distribution Needed for Hypothesis Testing

8.4 Rare Events, the Sample, Decision, and Conclusion

8.5 Additional Information and Full Hypothesis Test Examples

Chapter 8 Review

Chapter 8 Practice

Chapter 8 Homework

Chapter 9: Hypothesis Testing with Two Samples

Introduction to Chapter 9: Hypothesis Testing with Two Samples

9.1 Two Population Means with Unknown Standard Deviations

9.2 Two Population Means with Known Standard Deviations

9.3 Comparing Two Independent Population Proportions

9.4 Matched or Paired Samples

Chapter 9 Review

Chapter 9 Practice

Chapter 9 Homework

Chapter 10: Linear Regression and Correlation

Introduction to Chapter 10: Linear Regression and Correlation

10.1 Linear Equations

10.2 Scatter Plots

10.3 The Regression Equation

10.4 Testing the Significance of the Correlation Coefficient

10.5 Prediction

10.6 Outliers

Chapter 10 Review

Chapter 10 Homework

Chapter 10 Practice

Chapter 11: The Chi-Square Distribution

Introduction to 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

Chapter 11 Review

Chapter 11 Practice

Chapter 11 Homework

Class Group Activities/Projects

This textbook was created through Connecting the Pipeline: Libraries, OER, and Dual Enrollment from Secondary to Postsecondary, a $1.3 million project funded by LOUIS: The Louisiana Library Network and the Institute of Library and Museum Services. This project supports the extension of access to high-quality post-secondary opportunities to high school students across Louisiana and beyond by creating materials that can be adopted for dual enrollment environments. Dual enrollment is the opportunity for a student to be enrolled in high school and college at the same time.

The cohort-developed OER course materials are released under a license that permits their free use, reuse, modification and sharing with others. This includes a corresponding course available in Moodle and Canvas that can be imported to other platforms.