Suppose you are operating a machine that fills cereal boxes. The boxes are supposed to contain...

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Suppose you are operating a machine that fills cereal boxes. The boxes are supposed to contain 16 ounces. The machine fills the boxes so that the distribution of weights is normal and the standard deviation is 0.2 ounces. You can adjust the mean. a. If you set the machine so that the mean is 16 ounces, what percentage of customers will get a box of cereal that contains less than 16 ounces? b. Explain where you would recommend setting the mean and why. c. Suppose you are buying a new box-filling machine. All else being equal, should you buy one with a standard deviation of 0.2 ounces or 0.4 ounces? Explain your reasoning. Suppose you are operating a machine that fills cereal boxes. The boxes are supposed to contain 16 ounces. The machine fills the boxes so that the distribution of weights is normal and the standard deviation is 0.2 ounces. You can adjust the mean. a. If you set the machine so that the mean is 16 ounces, what percentage of customers will get a box of cereal that contains less than 16 ounces? b. Explain where you would recommend setting the mean and why. c. Suppose you are buying a new box-filling machine. All else being equal, should you buy one with a standard deviation of 0.2 ounces or 0.4 ounces? Explain your reasoning.