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According to a 2004 report by Roger Boe et. Al. of Correctional Service Canada, the mean...

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Statistics

According to a 2004 report by Roger Boe et. Al. of CorrectionalService Canada, the mean length of a Canadian jail sentence in2001/2002 was ? = 4.10 months with σ = 9.75 months.

a) Can we assume that prison sentences are normally distributed?Please explain.

b) Using the central limit theorem, what is the approximateprobability that the mean sentence for a random sample of 225prisoners is more than 4.75 months?

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