# Question: The following null and alternate hypotheses are given H0

The following null and alternate hypotheses are given.

H0: µ ≤ 50

H1: µ >50

Suppose the population standard deviation is 10. The probability of a Type I error is set at .01 and the probability of a Type II error at .30. Assume that the population mean shifts from 50 to 55. How large a sample is necessary to meet these requirements?

H0: µ ≤ 50

H1: µ >50

Suppose the population standard deviation is 10. The probability of a Type I error is set at .01 and the probability of a Type II error at .30. Assume that the population mean shifts from 50 to 55. How large a sample is necessary to meet these requirements?

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