The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution with a mean of 30 seconds and a population standard deviation of 3.1 seconds. You wish to...

The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution with a mean of 30 seconds and a population standard deviation of 3.1 seconds. You wish to see if the mean time (u) is changed by vigorous exercise, so you have a group of 15 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of Xbar = 29 seconds to complete the maze. Use this information to test the hypotheses
H0: u = 30    HA: u does not equal 30


Conduct a test using a significance level of 0.01.

(a) What is the Test Statistic? ____