A plant grows on two distant islands. Suppose that its

Chapter , Problem 27

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A plant grows on two distant islands. Suppose that its life span (measured in days) on the first (or the second) island is normally distributed with unknown mean J-lx (or J-lY ) and known variance 01 = 32 (or O' = 29 . respectively). \Ve wish to test the hypothesis J-lx = J-lY . based on 10 independent samples from each island. The corresponding sample means are x = 181 and y = 177. Do the data support t he hypothesis at the 95% significance level?

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