Eleven tires were each measured for treadwear by two methods, one based on weight and the other on groove wear. The following are the data, in thousands of miles.(b)At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, the two measurement methods give different results?(d)Obtain a confidence interval for the mean difference in measurement by the weight and groove methods corresponding to the hypothesis test in part (b) (e)Interpret the confidence interval obtained in part (d). Does this interval support the conclusion of the hypothesis test in part (b)? Justify your answer DifferenceWeight method (µ,) Groove method (u2)30.530.928.71.825.923.331.98.630.423.17.327.323.73.620.420.9-0.524.516.18.420.919.9118.915.211.53.713.72.211.411.20.2X, = 23.71, s,= 7.19X, = 19.95, s2 = 5.77d = 3.75, Sa = 3.22%3D 6. Eleven tires were each measured for treadwear by two methods, one based on weight and the otheron groove wear. The following are the data, in thousands of miles.(b)At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, thetwo measurement methods give different results?(d)Obtain a confidence interval for the mean difference in measurement by the weight and groovemethods corresponding to the hypothesis test in part (b)(e)Interpret the confidence interval obtained in part (d). Does this interval support the conclusion of thehypothesis test in part (b)? Justify your answer

b) The hypothesis is, H0:µ1-µ2 =0 VS H1:µ1-µ2 ≠0 i.e. H0:d =0 VS H1:d ≠0Test statistic…

Answered: Eleven tires were each measured for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Eleven tires were each measured for treadwear by two methods, one based on weight and the other on groove wear. The following are the data, in thousands of miles.

(b)At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, the two measurement methods give different results?

(d)Obtain a confidence interval for the mean difference in measurement by the weight and groove methods corresponding to the hypothesis test in part (b)

(e)Interpret the confidence interval obtained in part (d). Does this interval support the conclusion of the hypothesis test in part (b)? Justify your answer

Difference
Weight method (µ,) Groove method (u2)
30.5
30.9
28.7
1.8
25.9
23.3
31.9
8.6
30.4
23.1
7.3
27.3
23.7
3.6
20.4
20.9
-0.5
24.5
16.1
8.4
20.9
19.9
1
18.9
15.2
11.5
3.7
13.7
2.2
11.4
11.2
0.2
X, = 23.71, s,
= 7.19
X, = 19.95, s2 = 5.77
d = 3.75, Sa = 3.22
%3D

6. Eleven tires were each measured for treadwear by two methods, one based on weight and the other
on groove wear. The following are the data, in thousands of miles.
(b)At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, the
two measurement methods give different results?
(d)Obtain a confidence interval for the mean difference in measurement by the weight and groove
methods corresponding to the hypothesis test in part (b)
(e)Interpret the confidence interval obtained in part (d). Does this interval support the conclusion of the
hypothesis test in part (b)? Justify your answer

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