Preface
1. About OpenStax
2. About OpenStax's resources
3. Coverage and scope
4. Alternate sequencing
5. Pedagogical foundation and features
6. Statistics labs
7. Additional resources
8. About the authors
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
Glossary
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
Glossary
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
Glossary
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)
Glossary
Chapter 5. Continuous Random Variables
5.1. Continuous Probability Functions
5.2. The Uniform Distribution
5.3. The Exponential Distribution
5.4. Continuous Distribution
Glossary
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)
Glossary
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)
Glossary
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)
Glossary
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
Glossary
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
Glossary
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
Glossary
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)
Glossary
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
Glossary
Appendix A. Review Exercises (Ch 3-13)
A.1. Chapter 3
A.2. Chapter 4
A.3. Chapter 5
A.4. Chapter 6
A.5. Chapter 7
A.6. Chapter 8
A.7. Chapter 9
A.8. Chapter 10
A.9. Chapter 11
A.10. Chapter 12
A.11. Chapter 13
A.12. Solutions
A.13. References
Appendix B. Practice Tests (1-4) and Final Exams
B.1. Practice Test 1
B.2. Practice Test 1 Solutions
B.3. Practice Test 2
B.4. Practice Test 2 Solutions
B.5. Practice Test 3
B.6. Practice Test 3 Solutions
B.7. Practice Test 4
B.8. Practice Test 4 Solutions
B.9. Practice Final Exam 1
B.10. Practice Final Exam 1 Solutions
B.11. Practice Final Exam 2
B.12. Practice Final Exam 2 Solutions
Appendix C. Data Sets
C.1. Lap Times
C.2. Stock Prices
C.3. References
Appendix D. Group and Partner Projects
D.1. Univariate Data
D.2. Continuous Distributions and Central Limit Theorem
D.3. Hypothesis Testing-Article
D.4. Bivariate Data, Linear Regression, and Univariate Data
Appendix E. Solution Sheets
E.1. Hypothesis Testing with One Sample
E.2. Hypothesis Testing with Two Samples
E.3. The Chi-Square Distribution
E.4. F Distribution and One-Way ANOVA
Appendix F. Mathematical Phrases, Symbols, and Formulas
F.1. English Phrases Written Mathematically
F.2. Formulas
F.3. Symbols and Their Meanings
Appendix G. Notes for the TI-83, 83+, 84, 84+ Calculators
G.1. Quick Tips
G.2. Manipulating One-Variable Statistics
G.3. Drawing Histograms
G.4. Linear Regression
G.5. TI-83, 83+, 84, 84+ instructions for distributions and tests
Appendix H. Tables
Index
Statistics.pdf
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