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The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with mean 0.22 g/mi and standard deviation 0.057 g/mi. A company has 25 cars of this model in its fleet.

What is the level L (±0.0001) such that the probability that the average NOX level for the fleet is greater than L is only 0.03?

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