Refer to the random sample of Exercise 10.103.a Find the

Chapter 10, Problem 104E

(choose chapter or problem)

Problem 104E

Refer to the random sample of Exercise 10.103.

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 ?

c Is the most powerful α-level test that you found in part (a) unique?

Reference

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 ?