hw2 - MAT 3378 3X - Spring 2010 Assignment 2 : Deadline:...

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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 2 = 100 (a) The means are 1 = 175, 2 = 190, 3 = 160, 4 = 200, 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 non-centrality parameter. (b) The means are 1 = 175, 2 = 190, 3 = 160, 4 = 200, 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 = 0 . 01. (c) Suppose that range in the means is max { i } - min { 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 = 0 . 01....
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hw2 - MAT 3378 3X - Spring 2010 Assignment 2 : Deadline:...

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