You are interested in finding a 99% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 15 randomly selected non-residential college students. Round answers to 3 decimal places where possible.   19 27 16 23 12 26 7 6 6 16 22 6 9 27 10   a. To compute the confidence interval use a     distribution. b. With 99% confidence the population mean commute for non-residential college students is between  and   miles. c. If many groups of 15 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population mean number of commute miles and about  percent will not contain the true population mean number of  commute miles.

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