checkers cab company is trying to decide which brand of tires to use for the coming year. based on current price and prior experience they have narrowed their choice to brands, beltex and roadmaster. a recent study examined the durability of these tires by using a machine with a metallic device that wore down the tires. the time it took (in hours) for the tire to blowout was recorded. the blowout times (hours) were as follows: Beltex: 3.82, 3.11, 4.21, 2.64, 4.16, 3.91, 2.44, 4.52, 2.84, 3.26, 3.74, 3.04, 2.56, 2.58, 3.15
Roadmaster: 4.16, 3.92, 3.94, 4.22, 4.15, 3.62, 4.11, 3.45, 3.65, 3.82, 4.55. 3.82, 3.85, 3.62, 4.88
a. construct a 90% confidence interval for the difference in the mean blowout times between the two brands of tires and interpret the results.
b. can we conclude that the average blowout times are in fact not the same? Use a significance level of .10.