In its 2020 Fuel Economy Guide, the Environmental Protection Agency gives data on car models that have gasoline engines and are not hybrids. The combined city and highway gas mileage for these vehicles is approximately normal with the mean 23.2 miles per gallon (mpg )and standard deviation 5.0 mpg.
Added by Jorge H.
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We are given that the combined city and highway gas mileage for certain vehicles follows a normal distribution with a mean (μ) of 23.2 miles per gallon (mpg) and a standard deviation (σ) of 5.0 mpg. Show more…
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Rashmi S.
In its recent Fuel Economy Guide, the Environmental Protection Agency gives data on 1152 vehicles. There are a number of outliers, mainly vehicles with very poor gas mileage. If we ignore the outliers, however, the combined city and highway gas mileage of the other 1120 or so vehicles is approximately Normal with mean 18.7 miles per gallon (mpg) and standard deviation 4.3 mpg. How high must a vehicle's gas mileage be in order to fall in the top $10 \%$ of all vehicles? (The distribution omits a few high outliers, mainly hybrid gas-electric vehicles.)
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Least-Squares Regression
In its recent Fuel Economy Guide, the Environmental Protection Agency gives data on 1152 vehicles. There are a number of outliers, mainly vehicles with very poor gas mileage. If we ignore the outliers, however, the combined city and highway gas mileage of the other 1120 or so vehicles is approximately Normal with mean 18.7 miles per gallon (mpg) and standard deviation 4.3 mpg. The Chevrolet Malibu with a four-cylinder engine has a combined gas mileage of 25 mpg. What percent of all vehicles have worse gas mileage than the Malibu?
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