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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Suppose there is sufficient evidence to reject H0: m1 = m2 = m3 = m4 using a one-way

Chapter 13, Problem 4

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QUESTION:

Suppose there is sufficient evidence to reject H0: m1 = m2 = m3 = m4 using a one-way ANOVA. The mean square error from ANOVA is determined to be 26.2. The sample means are x1 = 42.6, x2 = 49.1, x3 = 46.8, x4 = 63.7, with n1 = n2 = n3 = n4 = 6. Use Tukeys test to determine which pairwise means are significantly different using a familywise error rate of a = 0.05.

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QUESTION:

Suppose there is sufficient evidence to reject H0: m1 = m2 = m3 = m4 using a one-way ANOVA. The mean square error from ANOVA is determined to be 26.2. The sample means are x1 = 42.6, x2 = 49.1, x3 = 46.8, x4 = 63.7, with n1 = n2 = n3 = n4 = 6. Use Tukeys test to determine which pairwise means are significantly different using a familywise error rate of a = 0.05.

ANSWER:

Step 1 of 10

Suppose we used a one-way ANOVA and rejected the null hypothesis

We will use Tukey's test to determine which pairwise means differ using a familywise error rate of .

From the problem , we have:

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