Let Y1, Y2, . . . , Yn denote a random sample

Chapter 10, Problem 103E

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Problem 103E

Let Y1, Y2, . . . , Yn denote a random sample from a uniform distribution over the interval (0, θ).

a Find the most powerful α-level test for testing H0 : θ = θ0 against Ha : θ = θa, where θa < θ0.

b Is the test in part (a) uniformly most powerful for testing H0 : θ = θ0 against Ha :θ < θ0 ?

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