Description
Statistics covers the scope and sequence requirements of a typical one-year statistics course. The text provides
comprehensive coverage of statistical concepts, including quantitative examples, collaborative activities, and practical
applications. Statistics was designed to meet and exceed the requirements of the relevant Texas Essential
Knowledge and Skills (TEKS), while allowing significant flexibility for instructors. Content requirements for Statistics are prescribed in “Chapter 111. Texas Essential Knowledge and Skills for Mathematics, Subchapter C. High School, 111.47. Statistics, Adopted 2015” (http://ritter.tea.state.tx.us/rules/tac/chapter111/ch111c.html#111.47).
This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.
Book Outline
- Introduction
- 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
- Key Terms
- Chapter Review
- Practice
- Homework
- Bringing It Together: Homework
- References
- Introduction
- 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
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- Bringing It Together: Homework
- References
- Introduction
- 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
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Bringing It Together: Practice
- Homework
- Bringing It Together: Homework
- References
- Introduction
- 4.1 Probability Distribution Function (PDF) for a Discrete Random Variable
- 4.2 Mean or Expected Value and Standard Deviation
- 4.3 Binomial Distribution (Optional)
- 4.4 Geometric Distribution (Optional)
- 4.5 Hypergeometric Distribution (Optional)
- 4.6 Poisson Distribution (Optional)
- 4.7 Discrete Distribution (Playing Card Experiment)
- 4.8 Discrete Distribution (Lucky Dice Experiment)
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- References
- Introduction
- 7.1 The Central Limit Theorem for Sample Means (Averages)
- 7.2 The Central Limit Theorem for Sums (Optional)
- 7.3 Using the Central Limit Theorem
- 7.4 Central Limit Theorem (Pocket Change)
- 7.5 Central Limit Theorem (Cookie Recipes)
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- References
- Introduction
- 8.1 A Single Population Mean Using the Normal Distribution
- 8.2 A Single Population Mean Using the Student’s 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)
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- References
- Introduction
- 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, and the Decision and Conclusion
- 9.5 Additional Information and Full Hypothesis Test Examples
- 9.6 Hypothesis Testing of a Single Mean and Single Proportion
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- References
- Introduction
- 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 (Optional)
- 10.5 Hypothesis Testing for Two Means and Two Proportions
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- Bringing It Together: Homework
- References
- Introduction
- 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
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- Bringing It Together: Homework
- References
- Introduction
- 12.1 Linear Equations
- 12.2 Scatter Plots
- 12.3 The Regression Equation
- 12.4 Testing the Significance of the Correlation Coefficient (Optional)
- 12.5 Prediction (Optional)
- 12.6 Outliers
- 12.7 Regression (Distance from School) (Optional)
- 12.8 Regression (Textbook Cost) (Optional)
- 12.9 Regression (Fuel Efficiency) (Optional)
- Key Terms
- Chapter Review
- Formula Review
- Practice
- Homework
- Bringing It Together: Homework
- References