A manufacturer wishes to compare wearing qualities of two different types of tires, A and B. For the comparison a tire of type A and one of type B are randomly assigned and mounted on the rear wheels of each of five automobiles. The automobiles are then operated for a specified number of miles, and the amount of wear is recorded for each tire. These measurements are tabulated below. Automobile Tire A Tire B 1 10.6 10.2 2 9.8 9.4 3 12.3 11.8 4 9.7 9.1 5 8.8 8.3 x1 = 10.24 x2 = 9.76 Using the previous section test we would have t = 0.57 resulting in an insignificant test which is inconsistent with the data. Automobile Tire A Tire B d=A-B 1 10.6 10.2 .4 2 9.8 9.4 .4 3 12.3 11.8 .5 4 9.7 9.1 .6 5 8.8 8.3 .5 x1 = 10.24 x2 = 9.76 d = .48 Q1: Provide a summary of the data in the above table. Sample summary: n = 5, d = .48, sd = .0837
A manufacturer wishes to compare wearing qualities of two different types
of tires, A and B. For the comparison a tire of type A and one of type B are randomly
assigned and mounted on the rear wheels of each of five automobiles. The automobiles
are then operated for a specified number of miles, and the amount of wear is recorded
for each tire. These measurements are tabulated below.
Automobile Tire A Tire B
1 10.6 10.2
2 9.8 9.4
3 12.3 11.8
4 9.7 9.1
5 8.8 8.3
x1 = 10.24 x2 = 9.76
Using the previous section test we would have t = 0.57 resulting in an insignificant
test which is inconsistent with the data.
Automobile Tire A Tire B d=A-B
1 10.6 10.2 .4
2 9.8 9.4 .4
3 12.3 11.8 .5
4 9.7 9.1 .6
5 8.8 8.3 .5
x1 = 10.24 x2 = 9.76 d = .48
Q1: Provide a summary of the data in the above table.
Sample summary: n = 5, d = .48, sd = .0837
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