Reid Harper, the manager at Modix Hotel, makes every effort toensure that customers attempting to make phone reservations do nothave to wait too long to speak with a reservation specialist. Sincethe hotel accepts phone reservations 24 hours a day, Reid isespecially interested in maintaining consistency in service. Reidwants to determine if the variance of wait time in the earlymorning shift (12:00 am – 6:00 am) differs from that in the latemorning shift (6:00 am – 12:00 pm). He uses independently drawnsamples of wait time for phone reservations for both shifts for theanalysis; a portion of the data is shown in the accompanying table.Assume that wait times are normally distributed.

Early Morning Shift	Late Morning Shift
31	105
62	105
34	160
73	122
31	113
44	136
46	115
50	139
67	138
75	134
58	116
41	124
82	119
59	91
44	125
27	126
46	127
67	115
42	109
52	124
45	120
67	118
60	126
43	117

a. Select the hypotheses to test if thevariance of wait time in the early morning shift differs from thatin the late morning shift.

• H₀: ?₁² /?₂² = 1, H_A:?₁² /?₂² ? 1

• H₀: ?₁² /?₂² ? 1, H_A:?₁² /?₂² > 1

• H₀: ?₁² /?₂² ? 1, H_A:?₁² /?₂² < 1

b-1. Calculate the value of the test statistic.(Round intermediate calculations to at least 4 decimalplaces and final answer to 3 decimal places.)

b-2. Find the p-value.

c. At the 10% significance level, what is yourconclusion?

• Reject H₀, since the p-value ismore than ?.

• Reject H₀, since the p-value isless than ?.

• Do not reject H₀, since the p-valueis less than ?.

• Do not reject H₀, since the p-valueis more than ?.

d. Interpret the results at  ? =0.10.

• The variance of wait time in the early morning shift is greaterthan that in the late morning shift.

• The variance of wait time in the early morning shift is notgreater than that in the late morning shift.

• The variance of wait time in the early morning shift differsfrom that in the late morning shift.

• The variance of wait time in the early morning shift does notdiffer from that in the late morning shift.