8.36 Ground Beef The meat department of a local supermarket chain packages ground beef using meat trays of two sizes: one designed to hold approxi- mately 0.454 kilograms (kg) of meat, and one that holds approximately 1.36 kg. A random sample of 35 packages in the smaller meat trays produced weight measurements with an average of 0.458 kg and a stan- dard deviation of 0.082 kg.

a. Construct a 99% confidence interval for the average weight of all packages sold in the smaller meat trays by this supermarket chain.

b. What does the phrase "99% confident" mean?

c. Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 0.454 kg on average. Should the confidence interval in part a concern the quality control department? Explain.