(Solved) A health psychologist knew that corporate executives in general have an average

A health psychologist knew that corporate executives in general have an average score of 80 with a standard deviation of 12 on a stress inventory and that the scores are normally distributed. In order to learn whether corporate executives who exercise regularly have lower stress scores, the psychologist measured the stress of 20 exercising executives and found them to have a mean score of 72. Is this difference significant at the .05 level?
a.   Use the five steps of hypothesis testing.
b.   Sketch the distributions involved.
c.   Advanced topic: Figure the confidence limits for the 95% confidence interval.
d.   Explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. Be sure your explanation includes a discussion of the distribution of means—what it is, the logic of how it is figured—and its role in the overall hypothesis testing process. Advanced topic: Explain the logic and computation of the confidence intervals.

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A health psychologist knew that corporate executives in general have an average

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