The commute times for workers in a city are normally distributed with an unknown population mean and standard deviation. If a random sample of20

workers is taken and results in a sample mean of21

minutes and sample standard deviation of6

minutes, find a95%

confidence interval estimate for the population mean using the Student'st

-distribution.

Themargin of errorfor a95%

confidence interval estimate for the population mean using the Student'st

-distribution is2.81

.Find a95%

confidence interval estimate for the population mean using the Student'st

-distribution.

• Round the final answers to two decimal places.