By Law, a Box of Cereal Labeled as Containing 24

Essay

By law, a box of cereal labeled as containing 24 ounces must contain at least 24 ounces of cereal. The machine filling the boxes produces a distribution of fill weights that is mound-shaped and symmetric, with a mean equal to the setting on the machine and with a standard deviation equal to 0.02 ounce. To ensure that most of the boxes contain at least 24 ounces, the machine is set so that the mean fill per box is 24.06 ounces. What percentage of the boxes do, in fact, contain at least 24 ounces?