Question

You are the manager of a restaurant that delivers pizzas to college dormitory rooms. You have just changed your delivery process in an effort to reduce the mean time between the order and completion of the delivery from the current 25 minutes. A random sample of 31 orders using the new delivery process yields a sample mean of 22.4 minutes and sample standard deviation of 6.1 minutes. Does this data provide evidence at the 5% level that the delivery process has reduced the time between the order and the delivery?

A. Define the parameter of interest and give the appropriate hypotheses for a hypothesis test in this situation. (5 points)

B. State and check the conditions to perform the appropriate hypothesis test. (4 points)

C. Give the appropriate test statistic. Show work by giving the correct formula with correct values substituted into the formula and round your answer 2 decimal places. Calculator jargon is not accepted in this part. (5 points)

D. Find the appropriate p-value (to 4 decimal places) OR rejection region for this hypothesis test. Draw an appropriate picture and show work. (4 points)

E. What is your decision regarding your null hypothesis? (4 points)

F. Write a conclusion for this test in the context of this situation. (4 points)

Answer 1