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Reginald Brown, an Inspector from the Department of Weights and Measures

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Reginald Brown, an inspector from the Department of Weights and Measures, weighed 15 eighteen-ounce cereal boxes of corn flakes. He found their mean weight to be 17.817.8 ounces with a standard deviation of 0.40.4 ounces. At α=0.01\alpha = 0.01 , are the cereal boxes lighter than they should be?

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