MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given for Friday the 6th and Friday the 13th in the same month. Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences
that come from a population with median equal to zero at a significance level of α = 0.1
Xx
Fri. 6th 7
Fri. 13th 11
8 10 9 7 12
10 11 10 12
14
Click to view a table of critical values for the Wilcoxon signed-ranks test.
First define the null and alternative hypotheses.
Ho
H₁:
Calculate the test statistic.
T=
Calculate the critical value.
The critical value is
What is the conclusion for this hypothesis test?
O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference.
OB. Reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference.
O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference.
O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference.
More Info
D
5
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Critical Values of T for the Wilcoxon Signed-Ranks Test
.005
(one tail)
.01
(two tails)
+
.
0
2
3
5
7
10
13
16
19
23
28
32
37
43
49
55
61
68
76
84
92
100
109
.01
(one tail)
.02
(two tails)
0
2
3
5
7
10
13
16
20
24
28
33
38
43
49
56
62
69
77
85
93
102
111
120
a
.025
(one tail)
.05
(two tails)
1
2
4
6
8
11
14
17
21
25
30
35
40
46
52
59
66
73
81
90
98
107
117
127
137
.05
(one tail)
.10
(two tails)
1
2
4
6
8
11
14
17
21
26
30
36
41
47
54
60
68
75
83
92
101
110
120
130
141
152
n
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11
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13
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Transcribed Image Text:Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given for Friday the 6th and Friday the 13th in the same month. Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with median equal to zero at a significance level of α = 0.1 Xx Fri. 6th 7 Fri. 13th 11 8 10 9 7 12 10 11 10 12 14 Click to view a table of critical values for the Wilcoxon signed-ranks test. First define the null and alternative hypotheses. Ho H₁: Calculate the test statistic. T= Calculate the critical value. The critical value is What is the conclusion for this hypothesis test? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference. OB. Reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference. O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference. More Info D 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Critical Values of T for the Wilcoxon Signed-Ranks Test .005 (one tail) .01 (two tails) + . 0 2 3 5 7 10 13 16 19 23 28 32 37 43 49 55 61 68 76 84 92 100 109 .01 (one tail) .02 (two tails) 0 2 3 5 7 10 13 16 20 24 28 33 38 43 49 56 62 69 77 85 93 102 111 120 a .025 (one tail) .05 (two tails) 1 2 4 6 8 11 14 17 21 25 30 35 40 46 52 59 66 73 81 90 98 107 117 127 137 .05 (one tail) .10 (two tails) 1 2 4 6 8 11 14 17 21 26 30 36 41 47 54 60 68 75 83 92 101 110 120 130 141 152 n 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
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