Data were collected using a randomized block design with four treatments (A, B, C, and D) and b = 6. The following rank sums were obtained:

RA = 11 RB = 21 RC = 21 RD = 7

a. How many blocks were used in the experimental design?

b. Specify the null and alternative hypotheses that should be used in conducting a hypothesis test to determine whether the probability distributions for at least two of the treatments differ in location.

c. Conduct the test of part b. Use a = .10.

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

e. Compute the value of the Fr-test statistic using the alternative formula given in the footnote on p. 15-32. Verify that the test statistic is the same as that you obtained in part c.