Find the error probabilities. You have an SRS of size n = 9 from a Normaldistribution

Chapter 0, Problem 16.18

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Find the error probabilities. You have an SRS of size n = 9 from a Normaldistribution with = 1. You wish to testH0: = 0Ha: > 0You decide to reject H0 if x > 0 and to accept H0 otherwise. (a) Find the probability of a Type I error. That is, find the probability that the testrejects H0 when in fact = 0.(b) Find the probability of a Type II error when = 0.3. This is the probabilitythat the test accepts H0 when in fact = 0.3.(c) Find the probability of a Type II error when = 1.

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