You take a random sample of 31 college students in the state of Vermont and find the mean debt is $23,000 with a standard deviation of $2,800. We want to construct a 90% confidence interval for the mean debt for all Vermont college students.

1. What is the point estimate for the mean debt of all Vermont college students?


2. What is the margin of error for a 90% confidence interval? Round your answer to the nearest whole dollar.

3.Construct the 90% confidence interval for the mean debt of all Vermont college students. Round your answers to the nearest whole dollar.

4. Interpret the confidence interval.

5. We are never told whether or not the parent population is normally distributed. Why could we use the above method to find the confidence interval?