Question: An automatic machine is used to fill boxes with soap powder.Specifications require that the boxes weigh between 11.8 and 12.2ounces. The only data available about

An automatic machine is used to fill boxes with soap powder.Specifications require that the boxes weigh between 11.8 and 12.2ounces. The only data available about machine performance concernthe average content of groups of nine boxes. It is known that theaverage content is 11.9 ounces with a standard deviation of 0.05ounces. What fraction of the boxes produced is defective? Whereshould the mean be located in order to minimize this fractiondefective? Assume the weight is normally distributed.

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