# Question: Suppose we wish to test the hypotheses H0

Suppose we wish to test the hypotheses

H0 : 15

H1 : 15

where we know that 2 = 9.0. If the true mean is really 20, what sample size must be used to ensure that the probability of type II error is no greater than 0.10? Assume that = 0.05.

What n is needed such that the Type II error, , is less than or equal to 0.10?

H0 : 15

H1 : 15

where we know that 2 = 9.0. If the true mean is really 20, what sample size must be used to ensure that the probability of type II error is no greater than 0.10? Assume that = 0.05.

What n is needed such that the Type II error, , is less than or equal to 0.10?

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