Use the Wilcoxon signed rank test to see if there is a difference in the concentration of aluminum. Perform the test on the 5% level. What is your conclusion?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 6E
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Laureysens studied the concentration of aluminum in wood from a
number of clones of poplar growing in an area with heavy pollution. The same clone was
sampled and tested once in August and again in November. The researchers believed that the
concentration of aluminum would be shown to be increasing over time—and hence would be
higher in November than in August. The following table gives the aluminum concentrations
for 12 of the clones.

Use the Wilcoxon signed rank test to see if there is a difference in the concentration of
aluminum. Perform the test on the 5% level. What is your conclusion?

Clone 1
2
3
Aug. 8.1
10.0
16.5
Nov. 11.2 16.3 15.3
Diff. 3.1 6.3 1.2
4
5
13.6
9.5
15.6 10.5
2.0
1.0
6
8.3
15.5
7.2
7 8
18.3
13.3
12.7 11.1
5.6
2.2
10
11
8.1 8.9
9
7.9
19.9 20.4
12.0
12.3
14.2
5.3
12
13.4
36.8
23.4
Transcribed Image Text:Clone 1 2 3 Aug. 8.1 10.0 16.5 Nov. 11.2 16.3 15.3 Diff. 3.1 6.3 1.2 4 5 13.6 9.5 15.6 10.5 2.0 1.0 6 8.3 15.5 7.2 7 8 18.3 13.3 12.7 11.1 5.6 2.2 10 11 8.1 8.9 9 7.9 19.9 20.4 12.0 12.3 14.2 5.3 12 13.4 36.8 23.4
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