# Question: A random sample of size n from an exponential population

A random sample of size n from an exponential population is used to test the null hypothesis θ = θ0 against the alternative hypothesis θ = θ1 > θ0. Use the Neyman-Pearson lemma to find the most powerful critical region of size α, and use the result of Example 7.16 on page 222 to indicate how to evaluate the constant.

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