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(Solution) - Let X1 Xn be iid Poisson a Find a UMP test

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Let X1,..., Xn be iid Poisson(?).
(a) Find a UMP test of H0: ? < ?0 versus H1: ? > ?0.
(b) Consider the specific case H0 : ? < 1 versus H1 : ? > 1. Use the Central Limit Theorem to determine the sample size n so a UMP test satisfies P(reject H0|? = 1) = .05 and P(reject H0|? = 2) = .9.


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This question was answered on: Jul 11, 2017

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