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Blueberry Boxes is a local company that grows and sells blueberries in boxes (what else were you expecting!). The company is using wooden boxes instead of plastic in order to reduce carbon footprint. Typical pack size of these is labeled 16 oz. which represents the net weight of blueberries in a box at the time of packing. The company has purchased a Chinese machine that fills berries in boxes. Their experience with such packaging machine shows that the fill is almost normally distributed with a standard deviation of 0.2 oz. The company understands that if they set the average at 16 then 50% of the boxes will be filled less than 16 oz. They think that will make many customers unhappy and are particularly concerned about underweight boxes. Someone suggested that they can set the machine to fill somewhat more than 16 oz and that should take care of the problem. After a lot of discussions, the management decided to set the average fill at 16.3 oz. while the label still claims 16 oz.
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