The Meat Department of a Local Supermarket Packages Ground Beef

question 148

Essay

The meat department of a local supermarket packages ground beef using meat trays of two sizes: one designed to hold approximately 1.5 pounds of meat, and one that holds approximately 3 pounds. A random sample of 36 packages in the smaller meat trays produced weight measurements with an average of 1.51 pounds and a standard deviation of 0.20 pound.
Construct a 99% confidence interval for the average weight of all packages sold in the small meat trays by this supermarket chain.
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What does the phrase "99% confident" mean?
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Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1.5 pound on average. Should the confidence interval in part (a) concern the quality control department?
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Explain.
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