Question 12.153

13. Perform multiple comparisons using Tukey's test at experimentwise error rate , for the data in Exercises 9–11. Assume the requirements are met. Do the following.

  1. For each hypothesis test, state the hypotheses.
  2. Use the value of from Exercise 12, and state the rejection rule.
  3. Use from Exercises 9–11 for each hypothesis test.
  4. For each hypothesis test, state the conclusion and the interpretation.

12.99.13

(a) Test 1: ; Test 2: . Test 3: . (b) . Reject if . (c) Test 1: ; Test 2: ; Test 3: (d) Test 1:, which is not ; therefore we do not reject . There is insufficient evidence at the level of significance that the population mean of Population 1 differs from the population mean of Population 2. Test , which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population 1 differs from the population mean of Population 3. Test , which is not ; therefore we do not reject . There is insufficient evidence at the level of significance that the population mean of Population 2 differs from the population mean of Population 3.