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Rudy Researcher is interested in the drinking habits of students at the University of Alabama.  It is...

Rudy Researcher is interested in the drinking habits of students at the University of Alabama.  It is known that the average yearly consumptions of soft drinks by college students nationwide is 52 gallons with a standard deviation of 3.5 gallons. Rudy then samples 50 students at the university and finds a sample mean of 53.2 gallons.

Rudy is interested in determining how rare this sample is, given the nationwide average is 52 gallons. What is the probability of Rudy collecting a sample mean that is greater than or equal to 53.2 gallons?

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