Show that for a nonnal distribution the two types of en'ors in a test of a hypothesis

Chapter 25, Problem 25.1.59

(choose chapter or problem)

Show that for a normal distribution the two types of errors in a test of a hypothesis \(H_{0}: \mu=\mu_{0}\) against an alternative \(H_{1}: \mu=\mu_{1}\) can be made as small as one pleases (not zero) by taking the sample sufficiently large.

Text Transcription:

H_0: mu = mu_0

H_1: mu = mu_1

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