The mean square error from the anova is determined to be

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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.

Reference no: EM13626112

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