For Exercises 15 and 16, perform multiple comparisons using the Bonferroni method at level of significance , for the data indicated. Assume the requirements are met. Do the following:

  1. For each hypothesis test, state the hypotheses and the rejection rule.
  2. Use the value of from Exercises 9–14 for each hypothesis test.
  3. Find the Bonferroni-adjusted -value for each hypothesis test.
  4. For each hypothesis test, state the conclusion and the interpretation.

Question 12.71

15. The data from Exercises 9–11

12.2.15

(a) Test 1: ; Test 2: . ; Test 3: . For each hypothesis test, reject if the Bonferroni-adjusted . (b) Test 1: ; Test 2: ; Test 3: (c) Test 1: Bonferroni-adjusted ; Test 2: Bonferroni-adjusted ; Test 3: Bonferroni-adjusted (d) Test 1: The adjusted , 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 2. Test 2: The adjusted , 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 3: The adjusted , which is ; therefore we reject . There is evidence at the level of significance that the population mean of Population 2 differs from the population mean of Population 3.