A hospital has a main campus and three satellite locations. Management wants to
ID: 3318174 • Letter: A
Question
A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample of 11 ER cases at each location were selected, and the waiting time was measured. Complete parts (a) through (c).
Satellite 2Satellite3 Main 74.82 59.20 90.66 70.01 76.92 95.18 64.40 60.54 79.16 47.04 42.37 Satellite 1 29.60 56.28 39.34 23.53 63.01 37.06 46.71 70.14 63.62 32.34 55.40 37.16 70.67 61.37 57.17 49.72 60.12 72.86 47.47 45.85 69.03 81.40 50.10 24.78 42.19 32.94 59.26 36.19 61.44 52.83 44.64 48.19 69.72Explanation / Answer
Main
Satelitte 1
Satellite 2
Satellite 3
74.82
29.6
37.16
50.1
59.2
56.28
70.67
24.78
90.66
39.34
61.37
42.19
70.01
23.53
57.17
32.94
76.92
63.01
49.72
59.26
95.18
37.06
60.12
36.19
64.4
46.71
72.86
61.44
60.54
70.14
47.47
52.83
79.16
63.62
45.85
44.64
47.04
32.34
69.03
48.19
42.37
55.4
81.4
69.72
X1
X2
X3
X4
69.11818182
47.00272727
59.34727273
47.48
X
55.73704545
SSA=11(69.12-(55.74))^2……8(47.48-(55.74))^2= 3702.11
SSW=(74.82-(69.12))^2….(69.72-(47.48))^2= 8749.1556
MSA=3702.11/(4-1)= 1234.03744
MSW=8749.1556/(44-4)= 218.72889
F=1234.03744/218.72889=5.64
F crit=2.84
Since F> F crit, reject the null hypothesis
CR=Qa* MSW/2(1/n+1/n)
CR=3.79*218.72889/2*(1/11+1/11)
= 3.79*4.459
= 16.9
22.11545455
X1-X2
9.770909091
X1-X3
21.63818182
X1-X4
-12.34454545
X2-X3
-0.477272727
X2-X4
11.86727273
X3-X4
X1-X2 and X1-X4 are greater than CR and hence have significant difference
a)
Option C
FSTAT=5.64
p-value=0.00254
less, reject, sufficient
b) Options D and E
c) Option A
d)
FSTAT=5.64
p-value=0.00254
less, reject, sufficient
Main
Satelitte 1
Satellite 2
Satellite 3
74.82
29.6
37.16
50.1
59.2
56.28
70.67
24.78
90.66
39.34
61.37
42.19
70.01
23.53
57.17
32.94
76.92
63.01
49.72
59.26
95.18
37.06
60.12
36.19
64.4
46.71
72.86
61.44
60.54
70.14
47.47
52.83
79.16
63.62
45.85
44.64
47.04
32.34
69.03
48.19
42.37
55.4
81.4
69.72
X1
X2
X3
X4
69.11818182
47.00272727
59.34727273
47.48
X
55.73704545
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Main 11 760.3 69.11818182 273.5408964 Satelitte 1 11 517.03 47.00272727 245.0762218 Satellite 2 11 652.82 59.34727273 180.8510418 Satellite 3 11 522.28 47.48 175.4474 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 3702.112316 3 1234.037439 5.641858461 0.002542934 2.838745398 Within Groups 8749.1556 40 218.72889 Total 12451.26792 43Related Questions
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