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1 Blueberry Boxes Blueberry Boxes is a local company that grows and sells blueberries in boxes (what else were you expecting!). The company is using wooden bcoves instead of plastic in order to reduce carbon footprint. Typical park size of these is labeled 16 os. which represents the net weight of blueberries in a box at the time of packing. The coenpany has purchased a Clinese machine that fills berries in boxes. Their experiesce with stuch packaging machine shows that the fill is almast normally distributed with a standard deviation of 0.2oz. The company understands that if they set the average at 16 then 50% of the boxes will be filled less than 16oz. They think that will make many customers unhappy and are particularly concerned aboat underweight bocess. Sotneote suggested that they can set the machine to fill soenewhat more than 16 oz and that should take eare of the problem. After a lot of discussions, the managetnent decided to set the average fill at 16.3 ok while the label still claims 16 oz. a. What percentage of the packs will be filled less than 16 oe? b. The quality management team thinks thut no more than 4% of packs should be less than 16. If that is the goal what should be the mean setting at the machine? c. Blueberries cost $1.5/ th to the company and the CEO is very upset with above decision. She thinks they will be giving away too much free product. She insists that the machine should be set hark to 16.2oc. mean fill and still have no more than 4% underweight bosest Is she craxy of what? Is it possible? Can you think of a way to achieve this goal