15 Midwest cities (OV 0,000 popui gave the following information about annual number of murder and arson cases. City 1 2 4 5 6 8 9 10 11 12 13 14 15 Murder 5 20 17 18 6. 19 21 11 16 24 10 22 9. 12 7. Arson 32 144 79 171 33 44 86 62 112 103 12 139 37 68 48 Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of murder and arson. (a) Rank-order murder using 1 as the largest data value. Also rank-order arson using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test.
15 Midwest cities (OV 0,000 popui gave the following information about annual number of murder and arson cases. City 1 2 4 5 6 8 9 10 11 12 13 14 15 Murder 5 20 17 18 6. 19 21 11 16 24 10 22 9. 12 7. Arson 32 144 79 171 33 44 86 62 112 103 12 139 37 68 48 Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of murder and arson. (a) Rank-order murder using 1 as the largest data value. Also rank-order arson using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test.
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Question

Transcribed Image Text:Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population)
gave the following information about annual number of murder and arson cases.
City
1
2
4
5
6.
7
8.
9.
10
11
12
13
14
15
Murder
5
20
17
18
6
19
21
11
16
24
10
22
9
12
7
Arson
32
144 79
171
33
44
86
62
112
103
12
139
37
68
48
Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of murder and arson.
(a) Rank-order murder using 1 as the largest data value. Also rank-order arson using 1 as the largest data value.
Then construct a table of ranks to be used for a Spearman rank correlation test.
Murder
Arson
City
d = x - y
d2
Rank x
Rank y
1
2
3
4
7
8
10
11
12
13
14
15
Ed?
Compute the sample test statistic. (Use 3 decimal places.)
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