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1. In hypothesis testing the symbol represents, i The probability of not rejecting a false null hypothesis ii The level of significance, or the probability of committing a Type II error. iii The probability of rejecting a true null hypothesis. iv The level of significance, or the probability of committing a Type I error. a i and iv are correct only b ii and iii is correct only c i, ii, and iii are correct d iii and iv are correct only

2. Which of the following statements about Type I and Type II errors is correct a Type I: Do not reject a false null hypothesis. Type II: Reject a true null hypothesis. b Type I: Reject a true null hypothesis. Type II: Do not reject a false null hypothesis. c Type I: Reject a true alternative hypothesis. Type II: Do not reject a false alternative. d Type I: Reject a false null hypothesis. Type II: Reject a true null hypothesis.

3. You are testing the hypothesis that the mean expenditure on textbooks per semester by IUPUI students is less than $550. The null and alternative hypothesis statements for this test are: a H: 550 H: < 550 b H: 550 H: > 550 c H: > 550 H: 550 d H: < 550 H: 550

4. You are testing the hypothesis that the population mean vehicle speed on a freeway is greater than 80 mph. The null and alternative hypothesis statements for this test are: a H: = 80 H: > 80 b H: > 80 H: 80 c H: 80 H: > 80 d H: < 80 H: 80

5. You are testing the hypothesis that the mean student commuting distance to the IUPUI campus is at least 10 miles. The null and alternative hypothesis statements for this test are: a H: > 10 H: 10 b H: 10 H: > 10 c H: < 10 H: 10 d H: 10 H: < 10

6. You are testing the hypothesis that the mean commuting time to the IUPUI campus is at most 20 minutes. The null and alternative hypothesis statements for this test are: a H: 20 H: < 20 b H: < 20 H: 20 c H: > 20 H: 20 d H: 20 H: > 20

Question 7-12 are based on the random sample below which is obtained to test the following hypothesis about the population mean. 89.42 106.38 98.49 121.65 91.23 119.62 101.56 56.4 74.34 65.87 80.69 100.53 102.26 74.13 89.86 72.84 83.42 74.85 113.48 51.32 116.47 104.99 73.42 112.74 110.65 100.72 122.15 77.28 104.44 103.53 107.96 42.56 113.46 57.37 70.29 96.77 109.22 106.53 121.33 68.82 81.63 117.44 101.92 104.55 72.28 91.06 41.9 89.52 95.59 73.35 113.95 82.87 118.13 78.88 83.67 83.12 77.52 89.87 70.7 130.1 114.88 69.83 122.47 113.37 105.83 124.93 74.51 103.55 107.5 108.5 72.51 133.05 129.49 93.54 102.13 102.58 106.03 64.1 78.71 88.79 91.9 92.87 132.78 106.09 50.84 68.28 95.92 75.01 71.3 126.15 68.54 102.86 81.99 103.46 79.72 98.37 66.68 82.74 99.45

Test the hypothesis that the mean is at most 90.

7. This hypothesis test is, a an upper tail test because the null hypothesis is H: 90. b a lower tail test because the null hypothesis is H: 90. c an upper tail test because the alternative hypothesis is H: > 90. d a lower tail test because the null hypothesis is H: 90.

8. The estimated variance of the mean is, a 4.445 b 4.233 c 440.020 d 435.575

9. The value of the test statistic is: a 1.582 b 1.478 c 1.382 d 1.291

10. Given = 0.05, the critical value for the test is, a 1.777 b 1.661 c 1.552 d 1.450

11. The p-value for the test is, a 0.0851 b 0.0560 c 0.0368 d 0.0242

12. Based on the p-value in the previous question, a Reject H at = 0.05; reject H at = 0.10 b Do not reject H at = 0.05; reject H at = 0.10 c Do not reject H at = 0.10; reject H at = 0.05 d Reject H at = 0.05; reject H at = 0.01

Next two questions are related to the following To test the hypothesis that the average daily visit to a state park during the season is less than 200, a random sample of days yielded the following data (number of vehicles). 199 188 190 192 257 169 193 186 176 209 206 193 188 189 203 166 202 168 185 168 186 208 200 209

Test the hypothesis at a 5% level of significance.

13. 13 The test statistic for the hypothesis test is, |TS| = a 1.561 b 1.644 c 1.730 d 1.821

14. 14 Determine the critical value. a CV = 1.550 Do not reject the null hypothesis. Do not conclude the mean is below 200. b CV = 1.631 Do not reject the null hypothesis. Do not conclude the mean is below 200. c CV = 1.714 Reject the null hypothesis. Conclude the mean is less than 200. d CV = 1.808 Reject the null hypothesis. Conclude the mean is less than 200.