Question: Let X1, ...,X10 be a random sample from a POI() distribution. (i) Find the best critical region for testing H0 : = 0.1 against

Let X1, ...,X10 be a random sample from a POI(θ) distribution. (i) Find the best critical region for testing H0 : θ = 0.1 against H1 : θ = 0.5 at the significance level

α = 0.05. (ii) Determine the size of the test in (i).

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