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A machine used to fill cereal boxes dispenses, on the average, (m=mu) ounces per box. The manufacturer wants the actual ounces dispensed Y to be...

A machine used to fill cereal boxes dispenses, on the average, (m=mu) ounces per box. The manufacturer wants the actual ounces dispensed Y to be within 1 ounce of (m=mu) at least 75% of the time. What is the largest value of (sigma), the standard deviation of Y, that can be tolerated if the manufacturer's objectives are to be met?

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