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In a one-way ANOVA, there are three independent samples, with n1 8, n2 = 10, and n3 = 7. The calculated F-statistic is F = 3.95. At the 0.05 level of significance, what conclusion would be reached? Based on the F distribution tables, what is the most accurate statement that can be made about the p-value for this test?

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Since there are k=3 groups and N=25 observations, the F-statistic has degrees of freedom 2, 22. From the table, the p-value is 0.0343. That means that we reject the null hypothesis. The three group means are unequal.

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