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 $17.8$ ounces with a standard deviation of $0.4$ ounces. At $\alpha = 0.01$, are the cereal boxes lighter than they should be?

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The Answer of 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 $17.8$ ounces with a standard deviation of $0.4$ ounces. At $\alpha = 0.01$, are the cereal boxes lighter than they should be?

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