You are interested in finding a 95% 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.

5,5,5,24,17,9,24,14,16,5,8,5,22,17,15

a. To compute the confidence interval use a Z or T distribution?

b. With95% 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 ofcommute miles.