A researcher wishes to test the claim that there is a difference in the distribution of ages of elementary school, high school, and community college teachers. Teachers are randomly selected from each group. Their ages are recorded below. Can you conclude that the distributions of teachers' ages at these different levels of education are different? Use the Kruskal-Wallis test. Use = 0.05.

Elementary School Teachers

28

33

32

57

42

30

High School Teachers

41

46

43

52

47

36

Community College Teachers

44

50

41

66

50

40

I want to verify the following questions:

1. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
3. Find the critical value(s) and identify the rejection region(s).
4. Find the appropriate standardized test statistic. If convenient, use technology.
5. Decide whether to reject or fail to reject the null hypothesis.
6. Interpret the decision in the context of the original claim.