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6. Let X1,..Jt'm be a sample from a PoissonUL) distribution. a) Suppose we wish to test Ho: it. = 1 vs. H.: 2. = 2. Show that the most powerful test rejects Ho for E X; 2 c. and use the fact that the sum of Poisson random variables is itself Poisson to describe how to determine c for a rejection region with significance level (approximately) 0.. b) Is the test in part (a) uniformly most powerJl for a test of Ho: it. = I vs. 1-1.: 7.. at 1? Explain