In order to determine how many hours per week freshmen college students watch television, a random sample of 256 students was selected. It was determined that the students in the sample spent an average of 14 hours with a standard deviation of 3.2 hours watching TV per week.
a. Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.
b. Assume that a sample of 62 students was selected (with the same mean and the standard deviation). Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.