Is there a relation between police protection and fire protection? A random sample of large population areas gave the following information about the number of local police and the number of local...


Is there a relation between police protection and fire protection? A random sample of large population areas gave the following information about the number of local police and the number of local fire-fighters (units in thousands). (Reference:Statistical Abstract of the United States.)























































Area

1

2

3

4

5

6

7

8

9

10

11

12

13

Police
9.29.314.14.211.73.08.514.79.814.511.517.514.4

Firefighters
2.51.83.81.54.01.72.64.72.13.33.14.65.3


Use a 5% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of number of police and number of firefighters.


(a) Rank-order police using 1 as the largest data value. Also rank-order firefighters using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test.





















AreaPolice
Rankx
Firefighters
Ranky

d =x -y

d
2
1
2
3
4
5
6
7
8
9
10
11
12
13




















































































































Σd
2 =




Jun 09, 2022
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