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 15 of each brand. The tires are run until they wear out. The sample average and standard deviation in kms for brand A are 35,400 and 4000 respectively. The sample average and standard deviation in kms for brand B are 37,800 and 6600 respectively. Compute a 99% confidence interval for assuming that the populations are approximately normally distributed. You may not assume that the variances are equal
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