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In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of
In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 31 mpg and a standard deviation of 1.9 mpg. Suppose that the car manufacturer samples five cars from its assembly line and tests them for mileage ratings.
a. What is the distribution of the mean mpg for the sample?
b. What is the probability that the mean mpg of the sample will be greater than 33 mpg?
c. What is the probability that the mean mpg of the sample will be less than 30.5 mpg?
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