For Exercises 29 and 30, assume the ANOVA requirements are met. If appropriate, perform multiple comparisons using Tukey's test with experimentwise error rate for the indicated data. If not appropriate to perform multiple comparisons, state why not.
29. The data from Exercise 21, Section 12.1
12.2.29
Test 1:; Test 2: ; Test 3: ; Test 4: ; Test 5: ; Test 6: ; . For each hypothesis test, reject if . Test 1:, which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population A differs from the population mean of Population B. Test 2:, which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population A differs from the population mean of Population C. Test 3: , which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population A differs from the population mean of Population D. Test 4:, which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population B differs from the population mean of Population C. Test 5: , which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population B differs from the population mean of Population D. Test 6: , which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population C differs from the population mean of Population D.