## Math 170/171: Study Guide - Chapters 12 - 13

1. Multiple choice. Know the properties of the chi-square distribution.
2. Multiple choice. Know assumptions when performing a chi-square goodness of fit hypothesis test.
3. Multiple choice. Know the assumptions when performing a chi-square test for independence.
4. Multiple choice. Know the properties of the F distribution.
5. Multiple choice. Know the assumptions when performing a one-way analysis of variance.
6. Multiple choice. Know the assumptions when performing a two-way analysis of variance.
7. Multiple choice. Know the assumptions when testing a single population variance.
8. Hypothesis test. Test the variance or standard deviation of a single population. Look at problems 12.5 - 12.10.
9. Hypothesis test. Use the chi-square goodness of fit test. Look at problems 12.23 - 12.35.
10. Hypothesis test. Test a claim of equality of variances. Look at problems 13.8 - 13.19.
11. Hypothesis test. Use the chi-square test for independence. Look at problems 12.44 - 12.53.
12. Two-way ANOVA. Complete the two-way ANOVA table. Complete an F-test to see if there is interaction between the two variables and a difference in the means within one of the variables. Look at problems 13.51 - 13.56*.
13. One-way ANOVA. Take the data and summarize it. Then complete the one-way ANOVA for the data. Test for a difference in the means of the samples. Apply the Scheffe' or Tukey test if appropriate to test each pair of means. Look at problems 13.29 - 13.40.
14. One-way ANOVA. The data is summarized for you (mean, variance, and sample size are given). Test for a difference in the means of the samples. Apply the Scheffe' or Tukey test if appropriate to test each pair of means. Look at problems 13.29 - 13.40.

• Problems 1 - 7 must be worked individually without notes.
• The multiple choice questions are worded "Which of the following are true ...". They may be properties or assumptions.
• The multiple choice question range from five parts to nine parts each.
• Problems 8 - 14 must be worked individually, but a note card may be used.
• The total amount of written notes per person may not exceed 24 square inches. It may contains formulas, notes for using the calculator, etc. However, it may not contain worked out examples.
• Assume all conditions necessary to perform the tests are satisfied when working the problems.
• For each hypothesis test (problems 7-13), include the hypotheses, critical value, test statistic, decision, and conclusion. Show work where appropriate, use the calculator where appropriate.

Last updated: Thursday, July 24, 1997 at 12:42 AM
Send comments to james@richland.edu.