Solutions Statistics

Solution) Let be a random sample from a population, known. An LRT of versus is a test that rejects if

Question: 18: Let be a random sample from a population, known. An LRT of

versus is a test that rejects if z.

(a) Find an expression, in terms of standard normal probabilities, for the power function of this test.

(b) The experimenter desires a Type I Error probability of .05 and a maximum Type II Error probability of .25 at . Find values of n and c that will achieve this.

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