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.
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(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.