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in charge of sales for a large corporation

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Question:

A vice president in charge of sales for a large corporation claims that salespeople are averaging no more than 15 sales contacts per week. (He would like to increase this figure.) As a check on his claim, n = 36 salespeople are selected at random, and the number of contacts made by each is recorded for a single randomly selected week. The mean and variance of the 36 measurements were 17 and 9, respectively. Does the evidence contradict the vice president’s claim? Use a test with level a=.05.

Consider the question Suppose that our research hypothesis is “the claim of vice president is correct”, construct null hypothesis, alternative hypothesis, test statistics and rejection region. Solve the new version the question.

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