Consider a single-factor ANOVA experiment in which I = 3, J = 5, x1. = 10, x2.

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Consider a single-factor ANOVA experiment in which I = 3, J = 5, x̅1. = 10, x̅2. = 12, and x̅3. = 20. Find a value of SSE for which f . > F.05,2,12, so that H0: µ1 = µ2 = µ3 is rejected, yet when Tukey's procedure is applied none of the mi's can be said to differ significantly from one another?
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