in a study to determin the mean lifetime between front and rear brake pads, a sample of 9 automobiles was taken. the milage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured for each car. the mileage at which the original rear brake pads were worn to 10% of their original thickness was also measured for each car. the results are below.
rear: car 1= 41.2 car 2= 35.8 car 3= 46.6 car 4=46.9 car 5= 39.2 car 6= 51.5 car 7= 51.0 car 8= 46.0 car 9= 47.3
front: car 1= 32.5 car 2= 26.5 car 3= 35.6 car 4= 36.2 car 5= 29.8 car 6= 40.9 car 7= 40.7 car 8= 34.5 car 9= 36.5
construct a 99% confidence interval for the difference in the mean lifetime between the front and rear brake pads. round to the second decimal place.
use a 0.01 level of significance, what is the pvalue round to the fourth decimal place
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