SOLUTION: A potato sorting machine produces 5 lb bags of potatoes on average, but the standard deviation is 1/2 lb. Assuming that the weight of the bags is normally distributed, explain ho

Question 1150023: A potato sorting machine produces 5 lb bags of potatoes on average, but the standard deviation is 1/2 lb.
Assuming that the weight of the bags is normally distributed, explain how you would find the weight range that 95% of the bags fall within.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the middle 95% occurs between z=-1.96 and z=+1.96
the half-interval's width is z*sigma or 0.5*1.96=0.98
the range is between 5+/-0.98, or 4.02 pounds to 5.98 pounds

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