Question
Two popular brands of tires for tractor-trailers are Puma and Eternal. Maya is a buyer for a major shipping company and wants to estimate the
Two popular brands of tires for tractor-trailers are Puma and Eternal. Maya is a buyer for a major shipping company and wants to estimate the difference between the mean distance (in thousands of km) driven on Puma tires before they need to be replaced and the mean distance (in thousands of km) driven on Eternal tires before they need to be replaced. In the company's testing lab, Maya tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire, she logs the distance driven (in thousands of km) before the tire needs to be replaced. These data are shown in the table. Distances (in thousands of km) Puma 55.2, 55.6, 56.0, 52.6, 54.8, 53.3, 54.6, 53.3, 47.9, 54.2, 52.6, 58.6, 57.4, 57.0 Eternal 48.0, 45.0, 43.4, 73.0, 52.7, 47.3, 45.1, 31.1, 39.1, 53.0, 63.0, 51.6, 56.6, 56.1, 52.0 Send data to calculator Assume that the two populations of distances driven are approximately normally distributed. Let 1 be the population mean distance (in thousands of km) driven on Puma tires before they need to be replaced. Let 2 be the population mean distance (in thousands of km) driven on Eternal tires before they need to be replaced. Construct a 90% confidence interval for the difference 12. Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
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