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A machine fills boxes of cereal in a factory. The average weight of cereal in a random sample of 17 boxes is calculated to be

A machine fills boxes of cereal in a factory. The average weight of cereal in a random sample of 17 boxes is calculated to be 350 grams and the sample standard deviation is calculated to be 8 grams. Weights of cereal per box are known to follow a normal distribution. We calculate a 99% confidence interval for the true mean weight of cereal per box. The margin of error for the appropriate confidence interval is:

A) 5.87

B)5.77

C) 5.67

D)5.47

E) 5.57

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