(Solution) - Suppose that X1 Xn form a -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Pages: 5 Words: 1375

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Suppose that X1, . . . , Xn form a random sample from the Poisson distribution with unknown mean ?, and suppose that it is desired to test the following hypotheses:
H0: ? ? 1,
H1: ? < 1.
Suppose also that the sample size is n = 10. At what levels of significance ?0 in the interval 0 < ?0 < 0.03 do there exist nonrandomized UMP tests?