for a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows: Car Rear Front 1 41.2 32.2 2 36.3 27.2 3 45.8 34.7 4 46.6 37.3 5 39.6 30.7 6 52.3 40.5 7 51.7 41.0 8 46.3 33.8 9 47.4 36.8 a)Construct a 99.8% 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 at least two decimal places. b)Because the confidence interval (contains/does not contain) values above 10 (in 1000s of miles), it (contradicts/does not contradict) the claim that the mean lifetime for rear brake pads is more than 10,000 miles more than the mean lifetime for front brake pads.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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for a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows:

Car Rear Front
1 41.2 32.2
2 36.3 27.2
3 45.8 34.7
4 46.6 37.3
5 39.6 30.7
6 52.3 40.5
7 51.7 41.0
8 46.3 33.8
9 47.4 36.8

a)Construct a 99.8% 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 at least two decimal places.

b)Because the confidence interval (contains/does not contain) values above 10 (in 1000s of miles), it (contradicts/does not contradict) the claim that the mean lifetime for rear brake pads is more than 10,000 miles more than the mean lifetime for front brake pads.

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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,