For a sample of nine automobiles, the mileage (in 1000s of miles) at which the o

Question

For a sample of nine automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worm to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results are given in the following table. Let X represent the population mean rear brake pads and let mu Y represent the population mean for front brake pads. Find a 95% confidence interval for the difference mu_D - mu_X - mu_X - mu_Y. Round the answers to three decimal places

Explanation / Answer

Automobile Front Rear Difference=Rear-Front 1 32.8 41.6 8.8 2 26.6 35.2 8.6 3 35.6 46.1 10.5 4 36.4 46 9.6 5 29.2 39.9 10.7 6 40.9 51.7 10.8 7 40.9 51.6 10.7 8 34.8 46.1 11.3 9 36.6 47.3 10.7 Mean of difference xbar 10.189 Standard deviation of Difference sd 0.955 Sample size n= 9 Degree of freedom df=n-1 8 At 5% level critical t= tc 2.306 Lower Limit=xbar-tc*sd/sqrt(n) 9.455 Upper Limit=xbar-tc*sd/sqrt(n) 10.923

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