11. Determine the p-value given the stated hypothesis and thetest statistic value (Z) Ho:?= 300 H1: ? < 300; z = -2.13 Answerto 4 decimal places.
12. Determine the p-value given the stated hypothesis and teststatistic value (Z). Ho: ? = 120 H1: ? ? 120; z = 1.92.Answer to 4 decimal places.
13. Some people claim that the physical demand on dancers aresuch that dancers tend to be shorter than the typical person.Nationally, adult heights are normally distributed with an averageof 64.5 inches. A random sample of 20 adult dancers has an averageheight of 63.275 inches and a standard deviation of 2.17 inches. Isthere evidence that dancers are shorter? Calculate thetest-statistic for a test
Ho: ? = 64.5 versus Ha: ? < 64.5
Compute the test statistic for this test. (round your answer to2 decimal places)
14. The mean caffeine content per cup of regular coffee servedat a certain coffee shop is supposed to be 100mg. A test is made ofHo: ?=100 versus Ha: ??100. A sample of 35 cups does not provideenough evidence that the mean caffeine content is different from100mg. Which type of error is possible in this situation?
| A. | Type 2 error |
| B. | Type 1 error |
| C. | Impossible to tell |
| D. | Either type is possible |
