For Exercises 27 and 28, perform multiple comparisons using Tukey's test at experimentwise error rate , for the data indicated. Assume the requirements are met. Do the following:
27. The data from Exercises 19–21
12.2.27
(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 2 , 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.