1. The Food and Drug Administration is checking the amount of cereal that a breakfast food company is putting in their boxes. The packaging process for the breakfast cereal has been adjusted so that 566 grams of cereal is supposed to be dispensed into each box. The standard deviation for the population is unknown, but the standard deviation from a sample of 49 boxes is 56 grams. What is the probability that anywhere from 550 and 574 grams on average is dispensed in each box?

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