4. Studies show that gasoline use for compact cars sold in the United States is normally distributed, with mean use of 25.5 miles per gallon (mpg) and a standard deviation of 4.5 mpg. a. What percentage of compact cars obtain 30 or more mpg? b. In times of scarce energy resources, a competitive advantage is given to automobile manufacturers who can produce a car obtaining substantially better fuel economy than the competitor's cars. If a manufacturer wishes to develop a compact car that outperform 95% of the current compacts in fuel economy, what must be the gasoline mileage for the new car?

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Author:Amos Gilat
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4. Studies show that gasoline use for compact cars sold in the United States is
normally distributed, with mean use of 25.5 miles per gallon (mpg) and a standard
deviation of 4.5 mpg.
a. What percentage of compact cars obtain 30 or more mpg?
b. In times of scarce energy resources, a competitive advantage is given to automobile
manufacturers who can produce a car obtaining substantially better fuel economy than the
competitor's cars. If a manufacturer wishes to develop a compact car that outperform 95%
of the current compacts in fuel economy, what must be the gasoline mileage for the new
car?
Transcribed Image Text:4. Studies show that gasoline use for compact cars sold in the United States is normally distributed, with mean use of 25.5 miles per gallon (mpg) and a standard deviation of 4.5 mpg. a. What percentage of compact cars obtain 30 or more mpg? b. In times of scarce energy resources, a competitive advantage is given to automobile manufacturers who can produce a car obtaining substantially better fuel economy than the competitor's cars. If a manufacturer wishes to develop a compact car that outperform 95% of the current compacts in fuel economy, what must be the gasoline mileage for the new car?
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