## Math 113: Study Guide - Chapters 7 - 8

1. Definitions (matching). Seventeen parts. Answers may be repeated. Some answers are not used. You should know the definitions / descriptions of: Null Hypothesis, Alternative Hypothesis, Level of Significance, Level of Confidence, Probability Value, Type I Error, Type II Error, Critical Region, Critical Value, Test Statistic, Independent Samples, Dependent Samples.
2. Know the assumption fundamental to all hypothesis testing.
3. You are given a situation. Decide which is the null and alternative hypotheses. Decide which error is type I and which error is type II. Similar to the "jury" example in class from section 7.2
4. Know the properties of the F distribution. Multiple choice, circle all correct responses.
5. T-F: Know that the probability value allows you to make a decision without knowing anything about the underlying distribution.
6. T-F: Know what two things are compared to reach a decision when using the classical approach and probability value approaches to hypothesis testing.
7. T-F: Know the relationship between the probability value for a one-tail test and a two-tail test.
8. T-F: Know when the binomial can be approximated using the normal.
9. T-F: Know that a sample must be from an essentially normal distribution to use the student's t (page 378, item 3b), chi-square (page 396 - assumption in blue box), and F (page 436, item 2) distributions
10. Use the normal or student's t table to look up a probability-value when the test statistic is known (read section on p-values on pages 382-383, especially the first example)
11. Use the normal or student's t table to find the critical value.
12. Write the null and alternative hypotheses for the given claim. The claim could be about one or two means, proportions, variances or standard deviations. Also identify whether the test is a left-tailed, right-tailed, or two-tailed test (based on the alternative hypothesis). Five parts. If you have two samples, be sure to define your subscripts or use appropriate letters (ex: M for male, F for Female)
13. Given the critical value(s) and test statistic, identify the test as left, right, or two-tailed and write the decision (Reject the null hypothesis or Fail to reject the null hypothesis). This is very similar to activity 7. Three parts.
14. Given a probability value and level of significance, write the decision. Two parts.
15. A normal probability plot is shown. We called it a Q-Q Plot. Be able to say whether or not the data appears normally distributed and why. Basically, the data is approximately normal if the q-q plot doesn't deviate too much from a line. Also, be able to interpret the Kolmogorov Smirnov test for normality when a p-value is given.
16. Statdisk hypothesis test. Identify the test as about one or two means, proportions, or standard deviations; identify how normality is met; write the original claim symbolically; write the null and alternative hypotheses; identify as left, right or two-tailed; give the critical value(s), test statistic, and p-value from statdisk; give the decision; give the conclusion.
17. Statdisk hypothesis test. Same questions as #16.
18. Statdisk hypothesis test. Same questions as #16.
19. SPSS output from a hypothesis test about one mean is given to you. Identify the sample size, the hypothesized value, the p-value, and give a conclusion.
20. SPSS output from a hypothesis test about two means is given to you. Write the original claim, identify the type of test, whether or not the variances are equal, and give the p-value. Give the conclusion.

### Notes:

• Be sure and bring your book, you will need it for the tables.
• There are more than 120 points listed below. To maintain the balance between the values of the problems, I needed to exceed 100 points. Obviously, I'm not going to actually count the test worth 120 points, though. I will compute your score by subtracting the number missed from 120 and then multiplying by 0.9. If you get all the questions correct, you can get up to 108 points on this test.
 # 1 2 3 4 5 6 7 8 9 10 Pts 17 3 4 4 2 2 2 2 2 2 # 11 12 13 14 15 16 17 18 19 20 Total Pts 2 15 6 2 6 10 11 10 8 10 120