4. 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. Results were

Program A: 45, 67, 63, 50, 77, 60, 47, 39, 56, 68, 70

Program B: 56, 79, 60, 45, 85, 39, 50, 41, 50, 69, 82

Do you believe that the employees of this company prefer, on the average, one package over the other? Explain. Assume each data set comes from a normal distribution and take = 0.05.