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Hypothesis test (t-test) regarding a population mean

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The Rocky Mountain district sales manager of JCM, Inc., a college book publishing company, claims that each of his sales representatives makes 40 calls on professors per week. Several reps said that this estimate is too low. To research the claim, a random sample of 28 reps revealed that the mean number of calls made last week was 42. The standard deviation of the sample was computed to be 21 calls. At the .05 level of significance, can we conclude that more than 40 calls are made on the average in a week?

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This solution shows the details of performing a hypothesis test for a population mean on a single sample (t-test).

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