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Answer to Question #36482 in Statistics and Probability for annie

Question #36482
b) Sales personnel for Boomerang Distributors are required to submit weekly reports listing the customer contacts made during the week. A sample of 61 weekly contact reports showed a mean of 22.4 customer contacts per week for the sales personnel. The sample standard deviation was 5 contacts.
i. Use the large-sample case to develop a 95% confidence interval for the mean number of weekly customer contacts for the population of sales personnel.
i. Assume that the population of weekly contact data has a normal distribution. Use the
t distribution with 60 degrees of freedom to develop a 95% confidence interval for the mean number of weekly customer contacts.
ii. Compare your answers for parts (1) and (ii). Comment on why in the large-sample case it is permissible to develop interval estimates using the procedure in part (i) even though the t distribution may also be applicable
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