In one year, an online travel agency reported that summer travelers booked their airline reservations an average of 74.4 days in advance. A random sample of 40 summer travelers in a later year was selected, and the number of days travelers booked their airline reservations in advance was recorded. The data are shown in the accompanying table.
69 76 82 65 60
79 74 75 89 68
87 86 92 56 84
79 60 71 85 86
73 71 92 76 78
69 75 58 63 55
72 85 68 86 74
67 67 54 77 77
A. Perform a hypothesis test using \alpha=0.02 to determine if the average number of days reservations are booked in advance has changed between the years.
B. Determine the critical value(s)
C. Should we reject the null hypothesis?
D. What is the p-value?