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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 Justi

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.)

City123456789101112131415
Murder122419816112010615217142318
Arson307968211234710512261416487386103

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.

CityMurder
Rank x		Arson
Rank y		d = x - yd2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15

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Σd2 = 


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