A researcher wanted to test the hypotheses H0: μ ≤ 38 against Ha: μ > 38 with α = .05....

A researcher wanted to test the hypotheses H0: μ ≤ 38 against Ha: μ > 38 with α = .05. A random sample of 50 measurements from a population yielded  and s = 5.6.

a. What conclusions can you make about the hypotheses based on the sample information?

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b. Could you have made a Type II error in this situation? Explain.

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c. Calculate the probability of a Type II error if the actual value of μ is at least 39.