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Salaries of Professors Narrative

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Salaries of Professors Narrative
Suppose that college faculty with the rank of professor at four-year institutions earn an average of $72,500 per year with a standard deviation of $4,500. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all four-year institutions in Canada.
-Refer to Salaries of Professors Narrative. Within what limits would you expect the sample average to be, with probability 0.95?

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