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Unformatted text preview: MAT 3378 3X  Spring 2010 Assignment 2 : Deadline: Friday, June 25 (In Class) Question 1: Suppose that five normal populations have a common variance of σ 2 = 100 (a) The means are μ 1 = 175, μ 2 = 190, μ 3 = 160, μ 4 = 200, μ 5 = 215. Assuming a balanced design of n = 5 observations per population. What is the power of the test for equality of means with a level of significance of 1%? Hint: Compute the noncentrality parameter. (b) The means are μ 1 = 175, μ 2 = 190, μ 3 = 160, μ 4 = 200, μ 5 = 215. Assuming a balanced design 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. (c) Suppose that range in the means is max { μ i }  min { μ i } = 40. Assuming a balanced design, 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....
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 Spring '11
 G.Lamothe
 Math, Variance

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