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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
This exercise shows that the signed-rank test can be used with paired data. Two gauges that measure tire tread depth are being compared. Ten different locations on a tire are measured once by each gauge. The results, in mm, are presented in the following table.
Â
|
Location |
Gauge 1 |
Gauge 2 |
Difference |
|
1 |
3.95 |
3.80 |
0.15 |
|
2 |
3.23 |
3.30 |
−0.07 |
|
3 |
3.60 |
3.59 |
0.01 |
|
4 |
3.48 |
3.61 |
−0.13 |
|
5 |
3.89 |
3.88 |
0.01 |
|
6 |
3.76 |
3.73 |
0.03 |
|
7 |
3.45 |
3.56 |
−0.11 |
|
8 |
3.01 |
3.02 |
−0.01 |
|
9 |
3.82 |
3.77 |
0.05 |
|
10 |
3.44 |
3.49 |
−0.05 |
Assume the differences are a sample from an approximately symmetric population with mean μ. Use the Wilcoxon signed-rank test to test H0:μ = 0 versus H1 :μ ≠0.
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