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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. Location Gauge 1 Gauge 2 Difference 3.95 3.80 0.15 3.23 3.30 -0.07 3 3.60 3.59 0.01 4 3.48 3.61 -0.13 3.89 3.88 0.01 3.76 3.73 0.03 3.45 3.56 -0.11 8 3.01 3.02 -0.01 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 H, : µ = 0 versus H : µ # 0.

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. Location Gauge 1 Gauge 2 Difference 3.95 3.80 0.15 3.23 3.30 -0.07 3 3.60 3.59 0.01 4 3.48 3.61 -0.13 3.89 3.88 0.01 3.76 3.73 0.03 3.45 3.56 -0.11 8 3.01 3.02 -0.01 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 H, : µ = 0 versus H : µ # 0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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. Location Gauge 1 Gauge 2 Difference 3.95 3.80 0.15 3.23 3.30 -0.07 3 3.60 3.59 0.01 4 3.48 3.61 -0.13 3.89 3.88 0.01 3.76 3.73 0.03 3.45 3.56 -0.11 8 3.01 3.02 -0.01 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 H, : µ = 0 versus H : µ # 0.
Transcribed Image Text: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. Location Gauge 1 Gauge 2 Difference 3.95 3.80 0.15 3.23 3.30 -0.07 3 3.60 3.59 0.01 4 3.48 3.61 -0.13 3.89 3.88 0.01 3.76 3.73 0.03 3.45 3.56 -0.11 8 3.01 3.02 -0.01 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 H, : µ = 0 versus H : µ # 0.
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