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?