Suppose that five normal populations have common variance σ 2 = 100 and means μ 1 = 175, μ 2 = 190, μ= = 160, μ 4 = 200, and μ 5 = 215. How many observations per population must be taken so that the...

Suppose that five normal populations have common variance σ²= 100 and means μ₁= 175, μ₂= 190, μ= = 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 α = 0.01.