Question: According to AAA, regular gasoline averaged $ 3.68 per gallon in the United States in March 2013. Assume the standard deviation for gasoline prices is

According to AAA, regular gasoline averaged $ 3.68 per gallon in the United States in March 2013. Assume the standard deviation for gasoline prices is $ 0.12 per gallon. A random sample of 30 service stations was selected.

a. What is the probability that the sample mean will be less than $ 3.66?

b. What is the probability that the sample mean will be more than $ 3.63?

c. What is the probability that the sample mean will be between $ 3.62 and $ 3.72?

d. Suppose the sample mean is $ 3.75. Does this result support the findings of AAA? Explain your answer.

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