Question 16 (4 points) Five soft drink bottling companies have agreed to implement a time management program in hopes of increasing productivity (measured in the cases of soft drinks bottled per hour). The number of cases of soft drinks bottled per hour before and after the implementation of the program are listed below: _ Before 500 475 525 490 530 After 510 480 525 495 533 a. State the appropriate null and alternative hypotheses to test whether the time management has been effective in increasing productivity. b. Calculate the value of the test statistics. c. Set up the appropriate rejection region for the hypotheses above, assuming a = 0.05. c. What is the appropriate conclusion? Justify your answer. d. Refer to Bottling Productivity Narrative. Find the approximate p-value