Introductory Statistics

Introductory Materials

Unit 1: Sampling 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

Unit 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

Unit 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

Unit 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)

Unit 5: Continuous Random Variables

• 5.1 Continuous Probability Functions

• 5.2 The Uniform Distribution

• 5.3 The Exponential Distribution

• 5.4 Continuous Distribution

Unit 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)

Unit 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)

Unit 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)

Unit 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

Unit 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

Unit 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

Unit 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)

Unit 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

Assignments

Appendices