A trucking fleet-owner owns two semi-trucks and wishes to compare the amount of fuel used per week by the two vehicles. In a random sample of100 weeks, truck #1 used a mean volume of350gallons with a standard deviation of13 gallons. In a second, independent random sample of100weeks, truck #2 used a mean volume of333gallons with standard deviation10 gallons.

It is of interest to construct a confidence interval for the difference in population means using a confidence level of 99 percent.12, where1

is the mean fuel volume used by truck #1 and2is the mean volume of fuel used by truck #2.

Enter values below rounded to three decimal places.

(a) The estimate is:_____gallons.

(b) The standard error is:_____gallons.

(c) The multiplier is:._____