6. To compare the wearing qualities of two types of automobile tires, A and B, a tire of type A and one of type Bare randomly assigned and mounted on the rear wheels of each of five automobiles. The automobiles are then operated for a specified number of kilometers, and the amount of wear is recorded for each tire. These measurements appear in the following table. We wish to find sufficient evidence to indicate a difference in the average wear for the two tire types. Use a 10% level of significance for the following three methods: Tire A Automobile Tire B 10.6 10.2 2 9.8 9.4 3 12.3 11.8 4 9.7 9.1 8.8 8.3 a) Use the sign test. b) Use the t-test for independent small samples. c) Use the t-test for dependent small samples.

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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5. To compare the wearing qualities of two types of automobile tires, A and B, a tire of type A and one of type Bare
randomly assigned and mounted on the rear wheels of each of five automobiles. The automobiles are then
operated for a specified number of kilometers, and the amount of wear is recorded for each tire. These
measurements appear in the following table. We wish to find sufficient evidence to indicate a difference
in the average wear for the two tire types. Use a 10% level of significance for the following three methods:
Tire A
Automobile
Tire B
1.
10.6
10.2
9.8
9.4
3
12.3
11.8
4
9.7
9.1
5
8.8
8.3
a) Use the sign test.
b) Use the t-test for independent small samples.
c) Use the t-test for dependent small samples.
Transcribed Image Text:5. To compare the wearing qualities of two types of automobile tires, A and B, a tire of type A and one of type Bare randomly assigned and mounted on the rear wheels of each of five automobiles. The automobiles are then operated for a specified number of kilometers, and the amount of wear is recorded for each tire. These measurements appear in the following table. We wish to find sufficient evidence to indicate a difference in the average wear for the two tire types. Use a 10% level of significance for the following three methods: Tire A Automobile Tire B 1. 10.6 10.2 9.8 9.4 3 12.3 11.8 4 9.7 9.1 5 8.8 8.3 a) Use the sign test. b) Use the t-test for independent small samples. c) Use the t-test for dependent small samples.
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