lation between police protection and 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). Area 1 2 3 4 5 6 8 9 10 11 12 13 Police 10.1 13.0 3.3 2.9 7.1 8.3 14.9 5.5 11.1 2.7 7.4 5.3 10.7 Firefighters 3.9 3.8 0.8 1.2 0.7 2.0 4.9 2.4 4.7 0.9 2.8 3.1 3.5 Jse 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
lation between police protection and 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). Area 1 2 3 4 5 6 8 9 10 11 12 13 Police 10.1 13.0 3.3 2.9 7.1 8.3 14.9 5.5 11.1 2.7 7.4 5.3 10.7 Firefighters 3.9 3.8 0.8 1.2 0.7 2.0 4.9 2.4 4.7 0.9 2.8 3.1 3.5 Jse 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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text: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).
Area
1
2
3
4
5
6
8
10
11
12
13
Police
10.1 13.0 3.3
2.9
7.1
8.3 14.9 5.5 11.1
2.7
7.4
5.3
10.7
Firefighters
3.9
3.8
0.8
1.2
0.7 2.0
4.9
2.4 4.7
0.9
2.8
3.1
3.5
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.
Police
Firefighters
Rank y
d2
Area
d = x - y
Rank x
1
2
3
4
5
7
8
9.
10
11
12
13
|Ed² =
Compute the sample test statistic. (Use 3 decimal places.)
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