Question: FBI Report: Murder and Arson Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population) gave the

FBI Report: Murder and Arson 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 12 7 25 4 10 15 9 8 11 18 23 19 21 17 6 Arson 62 12 153 2 63 93 31 29 47 131 175 129 162 115 4

(i) 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.

(ii) Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of murder and arson.

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