A district sales manager claims that the sales representatives at her company make an average of more the 40 sales calls per month. Some of the sales representatives have stated that the average is higher than 40 sales calls per month. To assess the situation, the district manager takes a sample of 28 sales representatives and records their number of calls for the month. From the sample data the sales manager calculates a sample average of 42 and a sample standard deviation of 2.1.
A) What is the appropriate null and alternate hypothesis to conclude the average is higher than 40 sales calls per month?
B) Test the hypothesis using alpha = 0.05.
C) Calculate the p-value for the hypothesis test.
D) What type of test is it/What does it look like?