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?