How heavy does box have to be to be labeled overweight

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A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.4 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight. How heavy does a box have to be for it to be labeled overweight? Round your answer to the nearest hundredth.

Reference no: EM13145845

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