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Let X1, X2, . . ., Xn denote a random sample of size n from a Poisson distribution with mean ). (a) Find a most

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Let X1, X2, . . ., Xn denote a random sample of size n from a Poisson distribution with mean ). (a) Find a most powerful level o = 0.01 test for testing Ho : > = 2 against H1 : 1 = 4. (b) Find a uniformly most powerful level or = 0.01 test for testing Ho : > = 2 against H1 : > > 2

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