Question: A company is interested in offering its employees one of two employee benefit packages. A random sample of the company's employees is collected, and each person in the sample is asked to rate each of the two packages on an overall preference scale of 0 to 100. The order of presentation of each of the two plans is randomly selected for each person in the sample. The paired data are:
Program A: 45, 67, 63, 59, 77, 69, 45, 39, 52, 58, 70, 46, 60, 65, 59, 80
Program B: 56, 70, 60, 45, 85, 79, 50, 46, 50, 60, 82, 40, 65, 55, 81, 68
Do you believe that the employees of this company prefer, on the average, one package over the other? Explain.