Question: Suppose the cereal boxes in a factory are supposed to
Suppose the cereal boxes in a factory are supposed to contain 645 grams of cereal. Assume that when the filling line is properly adjusted, the weights of the cereal boxes are normally distributed with a standard deviation of 5 grams. The inspector selects 10 boxes from the line, and determines that their average weight is 648 grams. What would the sampling distribution of the x-bar-values look like? What is the probability of getting an x-bar-value as high as 648 grams? Should the cereal-filling line be adjusted?
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