The board of a major credit card company requires that the mean wait time for customer service calls is at most 3.00 minutes. To make sure that the mean wait time is not exceeding the requirement, an...

The board of a major credit card company requires that the mean wait time for customer service calls is at most 3.00 minutes. To make sure that the mean wait time is not exceeding the requirement, an assignment manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.4 minutes. Assuming the population standard deviation is 1.45 minutes :

a) State the null hypothesis

b) State the alternative hypothesis

c) Which test will you use?

d) Is there sufficient evidence to say that the mean wait time is longer than 3.00 minutes with a 90% level of confidence?