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Gas Prices: New England

During a certain week the mean price of gasoline in the New England region was $2.818 per gallon.  A random sample of 32 gass stations is drawn from this population.  What is the probability that the mean price for the sample was between $2.768 and $2.918 that week?  Assume sigma equals$0.045.

P open parentheses $ 2.768 less than x with bar on top less than 2.918 close parentheses equals 

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