Data were collected from three populations, A, B, and C, using a completely randomized design. The following describes the sample data:

nA = nB = nC = 15

RA = 230 RB = 440 RC = 365

a. Specify the null and alternative hypotheses that should be used in conducting a test of hypothesis to determine whether the probability distributions of populations A, B, and C differ in location.

b. Conduct the test of part a. Use α = .05.

c. What is the approximate p-value of the test of part b?

d. Compute H using the alternative formula given in the footnote on the previous page. Verify that this formula yields the same value of H that you obtained in part b.