Two different box-filling machines are used to fill cereal boxes on an assembly line. The critical measurement influenced by the
se machines is the weight of the product in the boxes. Engineers are quite certain that the variance of the weight of product is 1 ounce. Experiments are conducted using both machines with sample sizes of 36 each. The sample averages for machines A and B are 4.5 ounces and 4.7 ounces respectively. Engineers are surprised that the two sample averages for the filling machines are so different. a. Use the CLT to determine the distribution of �$! − �$ ". b. What is �(�$! − �$ " ≥ 0.2)?
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