The ANOVA summary table for an experiment with four groups, with five values in

Question

The ANOVA summary table for an experiment with four groups, with five values in each group, is shown to the right. Complete parts (a) and (b) below. a. At the 0.01 level of significance, state the decision rule for testing the null hypothesis that all four groups have equal population means. Determine the hypotheses. Choose the correct answer below. A. H_0: mu_1 = mu_2 = ... = mu_5 H_1: mu_1 notequalto mu_2 notequalto ... notequalto mu_5 B. H_0: mu_1 = mu_2 = ... = mu_4 H_1: Not all the means are equal. C. H_0: mu_1 = mu_2 = ... = mu_5 H_1: Not all the means are equal. D. H_0: mu_1 = mu_2 = ... = mu_4 H_1: mu_1 notequalto mu_2 notequalto ... notequalto mu_4 Find the test statistic. F_STAT = Determine the critical value. F_alpha = b. What is your statistical decision? H_0. There is evidence to conclude that there is a difference in the population means of the groups.

Explanation / Answer

From usual rules we get following correct answers:

Part-a-Option-B

Part-b-FSTAT=4.00

F=5.29

Part-c-- Do not reject H0. There is not enough evidence to conclude that there is a differenc in the population means of the groups

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