Problem #6 (a) A taxi company is trying to decide: whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 12 of each brand. The tires are run until they wear out. The results are Brand 4: 21 - 36,300 kilometers, Si = 5,000 kilometers. Brand B: 22 = 38, 100 kilometers, S2 = 6, 100 kilometers. Compute a 95% confidence interval for usub assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. (b) Referring to part (a), find a 99% confidence interval for us us if a tire from each company is assigned at random to the rear wheels of 8 taxis and the following distance, in kilometers, recorded: Taxi Brand A Brand B 34.400 36.700 45.500 46.800 36,700 37.700 32,000 31.100 48,400 47.800 32.800 36,400 38.100 38,900 30.100 31,500 Assume that the differences of the distances are approximately normally distributed. Problem #6 (a) A taxi company is trying to decide: whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 12 of each brand. The tires are run until they wear out. The results are Brand 4: 21 - 36,300 kilometers, Si = 5,000 kilometers. Brand B: 22 = 38, 100 kilometers, S2 = 6, 100 kilometers. Compute a 95% confidence interval for usub assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. (b) Referring to part (a), find a 99% confidence interval for us us if a tire from each company is assigned at random to the rear wheels of 8 taxis and the following distance, in kilometers, recorded: Taxi Brand A Brand B 34.400 36.700 45.500 46.800 36,700 37.700 32,000 31.100 48,400 47.800 32.800 36,400 38.100 38,900 30.100 31,500 Assume that the differences of the distances are approximately normally distributed