Barbara Dwyer, the manager at Lux Hotel, makes every effort to ensure that customers attempting to make phone reservations do not have to wait too long to speak with a reservation specialist. Since the hotel accepts phone reservations 24 hours a day, Barbara is especially interested in maintaining consistency in service. Barbara wants to determine if the variance of wait time in the early morning shift differs from that in the late morning shift. She uses the following independently drawn samples of wait time for phone reservations for both shifts for the analysis. Assume that wait times are normally distributed.

a. Specify the appropriate hypotheses to test if the variance of wait time in the early morning shift differs from that in the late morning shift.
b. Use Excel's F.TEST function to conduct the test at the 1% level of significance.
c. Does the variance of wait time in the early morning shift differ from that in the late morning shift?

Walt Time (in seconds) 67 48 527183 59 49 66 57 68 60 66 82 63 64 83 37 41 60 41 87 53 66 69 98 100 122 108 100 123 102 90 125 121 120 128 123 94 128 113 116 104 96 111107 105 113 106 Early Moming Shift: 12:00 am- 6:00 am Late Morning Shift: 6:00 am- 12:00 pm