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A researcher designs a study to test the hypotheses H0: u >= 28 versusHa: u < 28. A ran- dom sample of 50 measurements from the population of interest yields y(bar) = 25.9 and s = 5.6.

Using a alpha = .05, what conclusions can you make about the hypotheses based on the sample information?
Calculate the probability of making a Type II error if the actual value of m is at most 27.
Could you have possibly made a Type II error in your decision in part (a)? Explain your answer.

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