Suppose that five normal populations have common variance 2 = 100 and means 1 = 175, 2 = 190, 3 = 160, 4 =200, and

Suppose that five normal populations have common variance σ2 = 100 and means μ1 = 175, μ2 = 190, μ3 = 160, μ4 =200, and μ5 = 215. How many observations per population must be taken so that the probability of rejecting the hypothesis of equality of means is at least 0.95? Use a = 0.01.