Independent random samples of size

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With reference to Exercise 4, find the required size of the samples when σ1 = 9, σ2 = 13, δ = 80, δ = 86, α = 0.01, and β = 0.01.

Exercise 4

Suppose that independent random samples of size n from two normal populations with the known variances  and  are to be used to test the null hypothesis μ1 - μ2 = δ against the alternative hypothesis μ1 - μ2 = δ and that the probabilities of type I and type II errors are to have the preassigned values α and β. Show that the required size of the sample is given by

Reference no: EM131137726

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