Suppose there is sufficient evidence to reject Ho: u1=u2=u3 using a one-way ANOVA. The mean square error from the ANOVA is determined to be 24.4 The sample means was X1=3.1,x2 = 10.5, and x3 = 19.6, with a n1=n2=n3=3. Use Tukey's test to determine which pairwisemeans are significantly different using a familywise error rate of a= 0.01.
Calculate the test statistics 0 for each pairwise difference
q12 =
q13=
q23=
The critical value is
Based on this data, reject or do not reject the hypothesis H0:u1=u2, reject or do not reject the hypothesis Ho:u1=u3, and do not reject or reject the hypothesis Ho: u2=u3.