Suppose that four normal populations have means of 1 = 50, 2 = 60,

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Suppose that four normal populations have means of µ1 = 50, µ2 = 60, µ3 = 50, and µ4 = 60. How many observations should be taken from each population so that the probability of rejecting the null hypothesis of equal population means is at least 0.90? Assume that α = 0.05 and that a reasonable estimate of the error variance is σ2 = 25.

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