Student Debt - Vermont: You take a random sample of 41 college students in the state of Vermont and find the mean debt is $24,500 with a standard deviation of $2,200. We want to construct a 99% confidence interval for the mean debt for all Vermont college students.

What is the margin of error for a 99% confidence interval? Round your answer to the nearest whole dollar.

Construct the 99% confidence interval for the mean debt of all Vermont college students. Round your answers to the nearest whole dollar.