Question 2) (10 Points)

Suppose an economist wishes to estimate the mean commute time of workers in Westchester County. The economist obtains a random sample of 31 commutes in Westchester County and finds the sample mean to be 31.2 minutes and the sample standard deviation to be 12.1 minutes.

• Construct and interpret a 90% confidence interval for the mean commute time in Westchester County.

• Construct and interpret a 95% confidence interval for the mean commute time in Westchester County.