Table of Contents

• Course Contents

  • About This Course
  • Course Contents at a Glance
  • Learning Outcomes

• Faculty Resources

  • OHM Assessments
  • I Need Help

• Module 1: Sampling and Data

  • Introduction to Sampling and Data
  • Definitions of Statistics, Probability, and Key Terms
  • Sampling and Data
  • Frequency, Frequency Tables, and Levels of Measurement
  • Experimental Design and Ethics
  • Section Exercises
  • Answers to Selected Exercises

• Module 2: Descriptive Statistics

  • Introduction to Descriptive Statistics
  • Stem-and-Leaf Graphs (Stemplots)
  • Histograms, Frequency Polygons, and Time Series Graphs
  • Measures of the Location of the Data
  • Box Plots
  • Measures of the Center of the Data
  • Skewness and the Mean, Median, and Mode
  • Measures of the Spread of Data
  • When to use each measure of Central Tendency
  • Section Exercises

• Module 3: Probability

  • Introduction to Probability Topics
  • The Terminology of Probability
  • Independent and Mutually Exclusive Events
  • Two Basic Rules of Probability
  • Contingency Tables
  • Tree and Venn Diagrams
  • Section Exercises

• Module 4: Discrete Random Variables

  • Introduction to Discrete Random Variables
  • Probability Distribution Function (PDF) for a Discrete Random Variable
  • Mean or Expected Value and Standard Deviation
  • Binomial Distribution
  • Geometric Distribution
  • Poisson Distribution
  • Section Exercises

• Module 5: Continuous Random Variables

  • Introduction to Continuous Random Variables
  • Continuous Probability Functions
  • The Uniform Distribution
  • The Exponential Distribution
  • Section Exercises

• Module 6: Normal Distribution

  • Introduction to the Normal Distribution
  • The Standard Normal Distribution
  • Using the Normal Distribution
  • Section Exercises

• Module 7: The Central Limit Theorem

  • Introduction to the Central Limit Theorem
  • The Central Limit Theorem for Sample Means (Averages)
  • The Central Limit Theorem for Sums
  • Using the Central Limit Theorem
  • Section Exercises

• Module 8: Confidence Intervals

  • Introduction to Confidence Intervals
  • A Single Population Mean using the Normal Distribution
  • A Single Population Mean using Student's t Distribution
  • A Population Proportion
  • Section Exercises

• Module 9: Hypothesis Testing With One Sample

  • Introduction to Hypothesis Testing with One Sample
  • Null and Alternative Hypotheses
  • Outcomes and the Type I and Type II Errors
  • Distribution Needed for Hypothesis Testing
  • Rare Events, the Sample, Decision and Conclusion
  • Additional Information and Full Hypothesis Test Examples
  • Section Exercises

• Module 10: Hypothesis Testing With Two Samples

  • Introduction to Hypothesis Testing with Two Samples
  • Two Population Means with Unknown Standard Deviations
  • Two Population Means with Known Standard Deviations
  • Comparing Two Independent Population Proportions
  • Matched or Paired Samples
  • Section Exercises

• Module 11: The Chi Square Distribution

  • Introduction to The Chi-Square Distribution
  • Facts About the Chi-Square Distribution
  • Goodness-of-Fit Test
  • Test of Independence
  • Test for Homogeneity
  • Comparison of the Chi-Square Tests
  • Test of a Single Variance
  • Section Exercises

• Module 12: Linear Regression and Correlation

  • Introduction to Linear Regression and Correlation
  • Linear Equations
  • Scatter Plots
  • The Regression Equation
  • Testing the Significance of the Correlation Coefficient
  • Prediction
  • Outliers
  • Section Exercises

• Module 13: F-Distribution and One-Way ANOVA

  • Introduction to F Distribution and One-Way ANOVA
  • One-Way ANOVA
  • The F Distribution and the F-Ratio
  • Facts about the F Distribution
  • Test of Two Variances
  • Relationships in an ANOVA Table
  • Section Exercises

• Module 14: Multiple and Logistic Regression

  • Introduction to Multiple and Logistic Regression
  • Model Selection
  • Checking Model Assumptions Using Graphs
  • Introduction to Logistic Regression
  • Exercises

• Module 12b: Alternative Linear Regression Module from XXXX book

• Appendices

  • Appendix A: Review Exercises (Ch 3-13)
  • Appendix A-1: Solutions to 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