A very large company is interested in its employees' productivity. The company reports from its historical data that its employees spend a mean of

156

minutes per employee (on a typical day) dealing with email. To test this claim, an independent consultant chooses

23

employees at random and finds that those employees spend a sample mean of

165

minutes dealing with email, with a sample standard deviation of

24

minutes. Assume that the population of amounts of time employees spend dealing with email is approximately normally distributed.

Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the

0.05

level of significance, to reject the claim that

,the mean number of minutes employees spend dealing with email, is equal to

156

.