(3.36) NOTE: The numerical values in this problem have been modified for testing
ID: 3069840 • Letter: #
Question
(3.36) NOTE: The numerical values in this problem have been modified for testing purposes.
In its Fuel Economy Guide for 2014 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a number of high outliers, mainly hybrid gas-electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1134 vehicles is approximately Normal with mean 22.8 miles per gallon (mpg) and standard deviation 5.2 mpg.
How high must a 2014 vehicle's gas mileage (±±0.01) be to fall in the top 10% of all vehicles?
Explanation / Answer
for top 10 percentile ; critical z =1.28
therefore corresponding vehicle's gas mileage =mean+z*std deviation =22.8+1.28*5.2
=29.46 miles per gallon
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