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Let X1, ... , Xn~Poi(1). (a) Find the best CR for testing Ho: 1 = 2 and Ha: 1 = 5 Ans: 241=1 (X1) e3n

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Let X1, ... , Xn~Poi(1). (a) Find the best CR for testing Ho: 1 = 2 and Ha: 1 = 5 Ans: 241=1 (X1) e3n S k 5 n In k - 3n i=1 In UIN Etz1(x;) 2 c since In is negative . (b) If n = 4 and Ho will be rejected for ET=, (X;) 2 13. Find a and B. Ans: Let Y = Et-1(X/) = X1 + ... + X4, so, Y~Poi(8)

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