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A machine fills bottles of perfume. Assume the filling weight is normally distributed and the standard deviation is 2 ounces. DO NOT round intermediate steps.

A machine fills bottles of perfume. Assume the filling weight is normally distributed and the standard deviation is 2 ounces.

DO NOT round intermediate steps.

Round final answer to two decimal places.

DO NOT put leading or ending zeros.

What must the mean weight be set at so that only 12% of the bottles weigh less than 40 ounces?

HINT: Mean cannot be negative.

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