Given a randomized block experiment with six groups and five

Given a randomized block experiment with six groups and five blocks, with SSA = 50, SSBL = 65, and SST = 210, complete parts (a) through below. Construct the ANOVA summary table and fill in all values in the body of the table. At the 0.01 level of significance, is there evidence of a difference in the group means? Identify the null and alternative hypotheses for this test. H0: mu1 = mu2 = mu3 = mu4 = mu5 H1: Not all mui are equal (i = 1,2,..., 5) H0: mu1 = mu2 = mu3 = mu4 = mu5 H1: mu1 mu2 mu3 mu4 mu5 H0: mu1 = mu2 = mu3 = mu4 = mu5 = mu6 H1: mu1 mu2 mu3 mu4 mu5 mu6 H0: mu1 = mu2 = mu3 = mu4 = mu5 = mu6 H1: Not all mu, i are equal (j = 1, 2, ..., 6) H0: mu1 = mu2 = mu3 = mu4 = mu5 = mu6 H1: Not all mu, j are equal (j = 1, 2, ..., 6) Determine the test statistic for this test. (Round to two decimal places as needed.)

Solution

F critical F(0.01,5,20) = 4.103

Do not reject Ho because Fcritical(4.103) > Fgroups(2.11)