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 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math»$0.045.

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