## Math 170: Chapters 9 - 10 Study Guide

Definitions. The definition is supplied, you give the term best defined. Look at the following definitions: (9) alternative hypothesis, critical region, degree of freedom, level of significance, non-critical region, null hypothesis, type I error, type II error; (10) dependent samples, independent variables. Four parts.

1. True or False. Look at the chapter 9, 10 quizzes in the book. Three parts.
2. Classify each statement as independent or dependent samples. Three parts. Look at problem 10.55.
3. A confidence interval is given. Find the sample mean. For a hypothesis test with a complementary level of significance, give the decision.
4. Give the decision (reject the null or fail to reject the null) based on the critical value and test statistic (which are given). Also, identify the type of test (left, right, or two-tail) based on the critical value(s). Four parts.
5. State whether or not the null hypothesis should be rejected on the basis of the given P-value. Look at problem 9.29.
6. Test a claim about the mean of two populations.
7. Describe the concepts of hypothesis testing. Know the fundamental assumption which is made when hypothesis testing is performed. Understand the rest of the process, including what "unusual" means and the role of the probability value. Reconstruct the table from the front center board regarding what is a correct decision and what is a type I or type II error. Finish the wording for each of the four possible conclusions (fill in the blank).
8. Test a claim about a single population mean.
9. Test a claim about a single population mean.
10. Test a claim about a single population proportion.
11. Test a claim about the mean of two populations.
12. Test a claim about the mean of two populations.
13. Test a claim about the mean of two populations.
14. Test a claim about a single population variance or standard deviation.
15. Test a claim about two population variances or standard deviations.

### Notes

• You may use the Statdisk software to conduct the hypothesis tests.
• For each hypothesis test, write the following:
• The null and alternative hypotheses
• The critical value(s)
• The test statistic
• The decision
• The conclusion
 # 1 2 3 4 5 6 7 8 Pts 8 6 6 6 4 2 6 14 9 10 11 12 13 14 15 16 Total 6 6 6 6 6 6 6 6 100

Last updated: Sunday, July 19, 1998 at 7:24 PM