Question

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

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.

Automobile

Front

Rear

1

32.8

40.5

2

26.6

35.2

3

35.6

46.1

4

36.4

46

5

29.2

39.9

6

40.9

51.7

7

40.9

51.6

8

34.8

46.1

9

36.6

47.3

Let μXμX represent the population mean for rear brake pads and let μYμY represent the population mean for front brake pads. Find a 95% confidence interval for the difference μD=μX−μYμD=μX−μY. Round the answers to three decimal places.

The 95% confidence interval for the difference in mean is (_,_ ).

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Answer #1

The statistical software output for this problem is :

The 95% confidence interval for the difference in mean is : (4.922 , 15.211)

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