Referring to Exercise 9.43, find a 99% confidence interval for ?₁ ? ?₂ if a tire from each company is assigned at random to the rear wheels of 8 taxis and the following distance, in kilometers, recorded: Assume that the differences of the distances are approximately normally distributed.

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Taxi Brand A Brand B 34,400 45.500 36,700 32,000 48,400 32.800 38,100 30,100 36,700 46,800 37.700 31.100 47,800 36,400 38,900 31.500 234 56708