Part 1 of 2 (a) Construct a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads. Let d represent the mileage of the rear pads minus the mileage of the front ones. Round the answers to two decimal places. A 95% confidence interval for the mean difference in lifetime between front and rear brake pads is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Brake wear: For a sample of 9 automobiles, the mileage (in 1000 s of miles) at which the original front brake pads were
worn to 11% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to
11% of their original thickness. The results were as follows:
Car Rear
Front
1
41.2
32.7
2
35.9
27.6
46.8
35.5
46.3 38.2
38.6
29.2
51.9
43.9
51.3
41.2
46.7
37.6
46.1
38.0
3
4
5
6
7
8
9
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Part: 0 / 2
Part 1 of 2
(a) Construct a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads. Let d
represent the mileage of the rear pads minus the mileage of the front ones. Round the answers to two decimal places.
A 95% confidence interval for the mean difference in lifetime between front and rear brake pads is
kua <
Par
Part: 1 / 2
of 2
X
(b) An automotive engineer claims that the mean lifetime for rear brake pads is more than 10,000 miles more than the
mean lifetime for front brake pads. Does the confidence interval contradict this claim?
Because the confidence interval (Choose one) ▼values above 10 (in 1000s of miles), it (Choose one)
the
claim that the mean lifetime for front brake pads is more than 10,000 miles more than the mean lifetime for rear brake
pads.
X
S
Transcribed Image Text:Brake wear: For a sample of 9 automobiles, the mileage (in 1000 s of miles) at which the original front brake pads were worn to 11% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 11% of their original thickness. The results were as follows: Car Rear Front 1 41.2 32.7 2 35.9 27.6 46.8 35.5 46.3 38.2 38.6 29.2 51.9 43.9 51.3 41.2 46.7 37.6 46.1 38.0 3 4 5 6 7 8 9 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads. Let d represent the mileage of the rear pads minus the mileage of the front ones. Round the answers to two decimal places. A 95% confidence interval for the mean difference in lifetime between front and rear brake pads is kua < Par Part: 1 / 2 of 2 X (b) An automotive engineer claims that the mean lifetime for rear brake pads is more than 10,000 miles more than the mean lifetime for front brake pads. Does the confidence interval contradict this claim? Because the confidence interval (Choose one) ▼values above 10 (in 1000s of miles), it (Choose one) the claim that the mean lifetime for front brake pads is more than 10,000 miles more than the mean lifetime for rear brake pads. X S
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