Question: 6. In packaging corn flakes into 8-oz packages, assume that the population of net weights generated by the automatic filling machine (properly calibrated) has a

6. In packaging corn flakes into 8-oz packages, assume that the population of net weights generated by the automatic filling machine (properly calibrated) has a distribution with mean of 8.15 oz and standard deviation of 0.08 oz. Assume that the population of paper boxes to receive the fillings to have a distribution with mean 1.45 oz and standard deviation of 0.06 oz.

(a) The population of filled boxes will have a distribution with what mean and variance?

(b) If these boxes are packaged 24 per carton and if the population of empty cartons has mean 28.00 oz and standard deviation 1.20 oz, what is the mean and variance of the population of filled cartons?

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