In its Fuel Economy Guide, the Environmental Protection Agency gives a variety of data on 2016 model year vehicles. If outliers (hybrid, gas-electric or electric vehicles) are ignored, the combined city and highway gas mileage is approximately normally distributed with mean 23.0 mpg and standard deviation of 4.9 mpg. a) A 2016 Volkswagen Beetle has an average gas mileage of 28 mpg. What percentage of 2016 vehicles have a better mpg than the Volkswagen Beetle? b) What is the probability that a 2016 model year vehicle has a gas mileage lower than 30 mpg? c) Assume twenty 2016 model year vehicles are randomly selected. Describe the distribution of the variable ?̅. I. Shape. You must justify (state how you know) your answer. II. Mean. III. Standard deviation. Round to three decimal places. d) Find the probability that the mean gas mileage of a sample of twenty 2016 model year vehicles is less than 24 mpg.

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