Question

Suppose you want to use the​ Kruskal-Wallis H-test to compare the probability distributions of three populations. The following data represent independent random samples selected from the three populations. Use this data to complete parts a through d below.

I           II           III

36         22         72

54         20         101

63         78         89

56         40         25

84         36         81

71         42         76

46         34        

a. What type of experimental design was​ used?

A. Paired Difference

B. Completely Randomized.

C. Randomized Block

b.

Specify the null and alternative hypotheses for this test.

H0​:There is [no/a] difference in the probability distributions of the samples.

Ha​: There is [no/a] difference in at least two of the three probability distributions.

c.

Specify the rejection region for the test statistic H for a hypothesis test at α=0.10

Select the correct choice below and fill in the answer​ box(es) to complete your choice.

​(Round to three decimal places as​ needed.)

H<

H>

  <H<

d.

Conduct the test at alphaα=0.10

The test statistic is

H=

Fail to reject H0 There Is enough evidence to conclude that at least two of the three distributions are different.

Reject H0 There is not enough evidence to conclude that at least two of the three distributions are different.

Reject H0 There is enough evidence to conclude that at least two of the three distributions are different.

Fail to reject H0 There is not enough evidence to conclude that at least two of the three distributions are different.

Answer 1