A hospital conducted a study of the waiting time in its emergency room at severa
ID: 3175464 • Letter: A
Question
A hospital conducted a study of the waiting time in its emergency room at several locations. A random sample of 10 emergency room cases at each location were selected on a particular day, and the waiting times were measured. The table gives the waiting times (in minutes).
Complete parts a and b.
Calculate the test statistic.
H= ________________(Round to three decimal places as needed.)
Identify the p-value
p-valu= ________________(Round to three decimal places as needed)
Is there evidence of a difference in the median waiting times in the four locations?
(1) ________________The decision is to (2) _______________________The data (3) ______________________sufficient evidence to conclude that (4) ____________________
(1) No, Yes
(2) accept the alternative hypothesis, not accept the alternative hypothesis, not reject the null hypothesis, reject the null hypothesis
(3) Provide, do not provide
(4) at least one location has a different waiting time, all the locations have different waiting times, all the locations have the same waiting time.
b. A one-way ANOVA of the same data gives F=13.783 with F=2.243.
Compare the results in (a) with the ANOVA results.
According to the ANOVA test, (5) _____________________That means that the conclusion of the two tests are (6) __________________________
(5) at least one mean is different, all the means are the same, all the means are different.
(6) Consistent, not consistent
Location Waiting time A 105.45 100.69 108.29 114.11 72.22 113.47 92.17 74.99 73.57 111.56 B 42.45 22.20 51.79 17.44 69.84 11.59 55.63 59.11 15.43 35.50 C 61.54 40.86 68.98 57.33 38.17 89.90 64.40 63.86 76.91 87.28 D 89.38 30.41 81.69 65.24 87.03 31.30 30.49 65.81 15.10 30.74Explanation / Answer
Result:
A hospital conducted a study of the waiting time in its emergency room at several locations. A random sample of 10 emergency room cases at each location were selected on a particular day, and the waiting times were measured. The table gives the waiting times (in minutes).
Complete parts a and b.
Location
Waiting
time
A
105.45
100.69
108.29
114.11
72.22
113.47
92.17
74.99
73.57
111.56
B
42.45
22.20
51.79
17.44
69.84
11.59
55.63
59.11
15.43
35.50
C
61.54
40.86
68.98
57.33
38.17
89.90
64.40
63.86
76.91
87.28
D
89.38
30.41
81.69
65.24
87.03
31.30
30.49
65.81
15.10
30.74
Calculate the test statistic.
H= 21.060 (Round to three decimal places as needed.)
Identify the p-value
p-value= 0.000 (Round to three decimal places as needed)
Is there evidence of a difference in the median waiting times in the four locations?
(1) No, Yes
(2) accept the alternative hypothesis, not accept the alternative hypothesis, not reject the null hypothesis, reject the null hypothesis
(3) Provide, do not provide
(4) at least one location has a different waiting time, all the locations have different waiting times, all the locations have the same waiting time.
b. A one-way ANOVA of the same data gives F=13.783 with F=2.243.
Compare the results in (a) with the ANOVA results.
According to the ANOVA test, (5) at least one mean is different That means that the conclusion of the two tests are (6) Consistent.
(5) at least one mean is different, all the means are the same, all the means are different.
(6) Consistent, not consistent
No.
Label
Data
Rank
1
A
105
36
2
A
101
35
3
A
108
37
4
A
114
40
5
A
72.2
25
6
A
113
39
7
A
92.2
34
8
A
75
27
9
A
73.6
26
10
A
112
38
11
B
42.5
13
12
B
22.2
5
13
B
51.8
14
14
B
17.4
4
15
B
69.8
24
16
B
11.6
1
17
B
55.6
15
18
B
59.1
17
19
B
15.4
3
20
B
35.5
10
21
C
61.5
18
22
C
40.9
12
23
C
69
23
24
C
57.3
16
25
C
38.2
11
26
C
89.9
33
27
C
64.4
20
28
C
63.9
19
29
C
76.9
28
30
C
87.3
31
31
D
89.4
32
32
D
30.4
6
33
D
81.7
29
34
D
65.2
21
35
D
87
30
36
D
31.3
9
37
D
30.5
7
38
D
65.8
22
39
D
15.1
2
40
D
30.7
8
Kruskal-Wallis Test
Median
n
Avg. Rank
103.07
10
33.70
A
38.98
10
10.60
B
64.13
10
21.10
C
48.27
10
16.60
D
64.82
40
Total
21.060
H
3
d.f.
.0001
p-value
Location
Waiting
time
A
105.45
100.69
108.29
114.11
72.22
113.47
92.17
74.99
73.57
111.56
B
42.45
22.20
51.79
17.44
69.84
11.59
55.63
59.11
15.43
35.50
C
61.54
40.86
68.98
57.33
38.17
89.90
64.40
63.86
76.91
87.28
D
89.38
30.41
81.69
65.24
87.03
31.30
30.49
65.81
15.10
30.74
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