For a sample of nine automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn 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.

Find a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads?

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Automobile Front Rear 32.8 26.6 35.6 36.4 29.2 40.9 40.9 34.8 36.6 41.2 35.2 46.1 46.0 39.9 51.7 51.6 46.1 47.3