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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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
Transcribed Image Text: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
Transcribed Image Text: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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