In determining automobile mileage ratings it was found that, Operation Management

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In determining automobile mileage ratings it was found that

Question: 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 30 mpg and a standard deviation of 30 mpg and a standard deviation of 1.0 mpg. Suppose that the car manufacturer samples 5 cars from its assembly line and test them for mileage ratings.

a. What is the distribution of the mean mpg for the sample?

b. What is the probability that the sample mean will be greater than 31 mpg?

c. What is the probability that the sample mean will be Jess than 29.5 mpg?

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