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Please explain well! No shortcuts! An inspector from the Department of Weights and Measures, weighs 15...

Please explain well! No shortcuts!

An inspector from the Department of Weights and Measures, weighs 15 eighteen-ounce boxes of corn flakes. He finds their mean weight to be 17.78 ounces with a standard deviation of 0.4 ounces. Test the claim that the boxes are improperly filled. Let α = 0.01. The data have no outliers and are normally distributed.

State your hypotheses:

Draw the curve and find the rejection region:

Calculate the test statistic:

State your decision:

Write your conclusion:

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