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.
(Reference: Federal Bureau of Investigation, U.S. Department of
Justice.)
City
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Murder
24
22
20
16
15
13
21
23
12
10
11
6
8
14
17
Arson
101
110
63
77
135
42
169
174
40
37
38
28
19
24
68
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.
City
murder Rank x
Arson Rank y
d=x-y
d^2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Σd2 =