Engineers at a tire manufacturing corporation wish to test a new tire material tor increased durabl test the tires under realistic road conditions, new front tires are mounted on each of 11 company c tire made with a production material and the other with the experimental material. After a fixed pe the 11 pairs were measured for wear. The amount of wear for each tire (in mm) is shown in the tabl Car Production Experimental 5.1 5.0

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15. of the wine.
ulat on the dverage duO corks decrease the ratin
9 Engineers at a tire manufacturing corporation wish to test a new tire material for increased durability. To
test the tires under realistic road conditions, new front tires are mounted on each of 11 company cars, one
tire made witha production material and the other with the experimental material. After a fixed period,
the 11 pairs were measured for wear. The amount of wear for each tire (in mm) is shown in the table:
Car Production Experimental
1
5.1
5.0
6.5
6.5
3.6
3.1
3.5
3.7
5.7
4.5
6.
5.0
4.1
7.
6.4
5.3
8.
4.7
2.6
6.
3.2
3.0
3.5
10
3.5
5.1
11
6.4
a. Give a point estimate for the difference in mean wear.
b. Construct the 99% confidence interval for the difference based on these data
he 1% level of significance, the hypothesis that the mean wear with the experimental material
is less than that for the production material.
2.
3.
4.
Transcribed Image Text:15. of the wine. ulat on the dverage duO corks decrease the ratin 9 Engineers at a tire manufacturing corporation wish to test a new tire material for increased durability. To test the tires under realistic road conditions, new front tires are mounted on each of 11 company cars, one tire made witha production material and the other with the experimental material. After a fixed period, the 11 pairs were measured for wear. The amount of wear for each tire (in mm) is shown in the table: Car Production Experimental 1 5.1 5.0 6.5 6.5 3.6 3.1 3.5 3.7 5.7 4.5 6. 5.0 4.1 7. 6.4 5.3 8. 4.7 2.6 6. 3.2 3.0 3.5 10 3.5 5.1 11 6.4 a. Give a point estimate for the difference in mean wear. b. Construct the 99% confidence interval for the difference based on these data he 1% level of significance, the hypothesis that the mean wear with the experimental material is less than that for the production material. 2. 3. 4.
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