A certain brand of jelly beans are made so that each package…
A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is not perfect, however. The packages are filled with an average of 385 jelly beans, but the number going into each bag is normally distributed with a standard deviation of 8. Yesterday, you went to the store and purchased a random sample of four of these packages in preparation for a party. You were curious, and counted the number of jelly beans in these packages – the four bags contained an average of 392 jelly beans. 1. What is the parameter in this problem? 2. What is the probability that a sample of four packages would contain more than 392 jelly beans? 3. Why does the central limit theorem apply in this problem?