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 of 100 weeks, truck #1 used a mean volume of 340 gallons with a standard deviation of 11 gallons. In a second, independent random sample of 100 weeks, truck #2 used a mean volume of 331 gallons with standard deviation 6 gallons. It is of interest to construct a confidence interval for the difference in population means using a confidence level of 90 percent. ?1−?2, where ?1 is the mean fuel volume used by truck #1 and ?2 is the mean volume of fuel used by truck #2. Note: 340−331=9 and 112100+62100‾‾‾‾‾‾‾‾‾‾‾√=1.25299640861417 Your answers below should be entered as numbers. Do not round during intermediate steps. If you round an answer, make sure you do so correctly and keep at least three decimal places. (a) The estimate is: gallons. (b) The standard error is: gallons. (c) The multiplier is: .
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 of 100 weeks, truck #1 used a mean volume of 340 gallons with a standard deviation of 11 gallons. In a second, independent random sample of 100 weeks, truck #2 used a mean volume of 331 gallons with standard deviation 6 gallons.
It is of interest to construct a confidence interval for the difference in population means using a confidence level of 90 percent. ?1−?2, where ?1 is the mean fuel volume used by truck #1 and ?2 is the mean volume of fuel used by truck #2.
Note:
and
Your answers below should be entered as numbers. Do not round during intermediate steps. If you round an answer, make sure you do so correctly and keep at least three decimal places.
(a) The estimate is: gallons.
(b) The standard error is: gallons.
(c) The multiplier is: .
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