A college counselor wants to determine the average amount of time first-year students spend…

A college counselor wants to determine the average amount of time first-year students spend studying. He randomly samples 61 students from the freshman class and asks them how many hours a week they study. The mean of the resulting scores is 20 hours, and the standard deviation is 6.5 hours.

a. Construct the 95% confidence interval for the population mean.

b. Construct the 99% confidence interval for the population mean. education