The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 3.00 minutes. To make sure that the mean wait is not exceeding the requirement, an assistant manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.40 minutes. Assuming the population standard deviation is 1.45 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 3.00 minutes with a 95% level of confidence?
a) State the null and alternate hypothesis.
b) Determine which distribution to use for the test statistic, and state the level of significance.
c) Calculate the necessary sample test statistics.