Problem

The weight of oranges growing in an orchard is normally distributed with a mean weight of 7.5oz. and a standard deviation of 1.5oz. Using the empirical rule, determine what interval would represent weights of the middle 95% of all oranges from this orchard.

Answer

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Answer

Upper limit: 7.5+2(1.5)=10.5 oz

Steps

Step 1 :95% of the data lies within ±2 standard deviations of the mean.

Step 2 :Lower limit: 7.52(1.5)=4.5 oz

Step 3 :Upper limit: 7.5+2(1.5)=10.5 oz

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