15.39 A randomized block design is used to compare four treatments in eight blocks.

a. Use the Friedman F, test to detect differences in location among the four treatment distributions. Test using a = 0.05.

b. Find the approximate p-value for the test in part

a. c. Perform an analysis of variance and give the ANOVA table for the analysis.

d. Give the value of the F statistic for testing the equality of the four treatment means.

e. Give the approximate p-value for the F statistic in part

d. f. Compare the p-values for the tests in parts a and

d, and explain the practical implications of the comparison.

Treatment Block 1 2 3 4 1 89 81 84 85 2 93 86 86 88 3 91 85 87 86 4 85 79 80 82 5 90 84 85 85 6 86 78 83 84 7 87 80 83 8 93 86 88 28 82 90