Question: 13.5.3 Let XI, . . . X, be a random sample from the POI(X) distribution. Find the (approximate) UMP unbiased test for the hypothesis Ho

13.5.3 Let XI, . . . X, be a random sample from the POI(X) distribution. Find the

(approximate) UMP unbiased test for the hypothesis Ho : X = XO against the twosided alternative H I : X # XO, where XO is assumed to be large. [Hint: Use the fact that if X has Poisson distribution with mean A, then (X - X ) / d converges (as X -+ co) in the distribution to a standard normal random variable.]

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