Suppose a lling machine is used to ll cartons with a

Chapter 9, Problem 8.74

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Suppose a lling machine is used to ll cartons with a liquid product. The specication that is strictly enforced for the lling machine is 9 1.5 oz. If any carton is produced with weight outside these bounds, it is considered by the supplier to be defective. It is hoped that at least 99% of cartons will meet these specications. With the conditions = 9 and = 1, what proportion of cartons from the process are defective? If changes are made to reduce variability, what must be reduced to in order to meet specications with probability 0.99? Assume a normal distribution for the weight.

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