11.9 A hospital conducted a study of the waiting time in its emergency room. The hospital has a main
A hospital conducted a study of waiting time in its emergencyroom. The hospital has a main campus and three satellite locations.Management had a business objective of reducing waiting time foremergency room cases that did not require immediate attention. Tostudy this, a random sample of 15 emergency room cases at eachlocation were selected on a particular day, and the waiting time(measured from the check in to when the patient was called into theclinic area) was measure. The results are in the table below.
Main
Satellite 1
Satellite 2
Satellite 3
120.08
30.75
75.86
54.05
81.90
61.83
37.88
38.82
78.79
26.40
68.73
36.85
63.83
53.84
51.08
32.83
79.77
72.30
50.21
52.94
47.94
53.09
58.47
34.13
79.88
27.67
86.29
69.37
48.63
52.46
62.90
78.52
55.43
10.64
44.84
55.95
64.06
53.50
64.17
49.61
64.99
37.28
50.68
66.40
53.82
34.31
47.97
76.06
62.43
66.00
60.57
11.37
65.07
8.99
58.37
83.51
81.02
29.75
30.40
39.17
a) At the 0.05 level ofsignificance, is there evidence of a difference in the mean waitingtimes in the four locations?
b) If appropriate, determine whichlocations differ in the mean waiting time.
c) At 0.05 level ofsignificance, is there evidence of a difference in the variation inwaiting time among the four locations?
