申論題

3. (20 points) Suppose are independently and identically distributed by Uniform(0,θ), i = 1,2,...,n.

(c) (10 points) Consider the following hypotheses:
 Now consider a test that rejects the null hypothesis when X(n) ≤ 2.5 is observed, where Find the probability of type I error and the power function, K(θ), of this test.