Tire wear: An automobile manufacturer wants to compare the lifetimes of two brands of tires. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on the front wheels. 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 36.2 45.9 36.3 32.0 37.9 48.7 38.8 Brand B 34.2 42.9 36.0 31.3 38.1 47.3 33.3 Brand A is more expensive than Brand B. Can you conclude that the mean lifetime of Brand A tires is greater than that of Brand B? Use the a = 0.01 level of significance. Let μ₁ represent the mean lifetime of Brand A tires and μμ₁₂.

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