An automobile manufacturer wants to compare the life times of two brands of tire. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on each front wheel. The cars are driven until only 20% of the original tread remains. The distances, in thousands of miles, for each tire are presented in the following table. Car 1 2 3 4 5 6 7 Brand A Brand B 36.9 34.3 45.3 42.2 36.2 35.5 32.1 31.9 37.2 38.1 48.3 47.8 38.2 33.2 Brand A is more expensive than Brand B. State a conclusion. Can you conclude that the mean lifetime of Brand A tires is greater than that of Brand B? Use H: H = 0, H₁: μ> 0 to state a conclusion. Use the a = 0.01 level of significance and the critical value method. Reject H O Do not reject Ho

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use ti-84 for calculation

An automobile manufacturer wants to compare the life
times of two brands of tire. She obtains samples of
seven tires of each brand. On each of seven cars, she
mounts one tire of each brand on each front wheel.
The cars are driven until only 20% of the original tread
remains. The distances, in thousands of miles, for each
tire are presented in the following table.
Car
1
2
3
4
5
6
7
Brand A Brand B
36.9
34.3
45.3
42.2
36.2
35.5
32.1
31.9
37.2
38.1
48.3
47.8
38.2
33.2
Brand A is more expensive than Brand B. State a
conclusion. Can you conclude that the mean lifetime of
Brand A tires is greater than that of Brand B? Use H₂: M
= 0, H₁: μ> 0 to state a conclusion. Use the a = 0.01
level of significance and the critical value method.
Reject Ho
Do not reject Ho
Transcribed Image Text:An automobile manufacturer wants to compare the life times of two brands of tire. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on each front wheel. The cars are driven until only 20% of the original tread remains. The distances, in thousands of miles, for each tire are presented in the following table. Car 1 2 3 4 5 6 7 Brand A Brand B 36.9 34.3 45.3 42.2 36.2 35.5 32.1 31.9 37.2 38.1 48.3 47.8 38.2 33.2 Brand A is more expensive than Brand B. State a conclusion. Can you conclude that the mean lifetime of Brand A tires is greater than that of Brand B? Use H₂: M = 0, H₁: μ> 0 to state a conclusion. Use the a = 0.01 level of significance and the critical value method. Reject Ho Do not reject Ho
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