The meat-packing department of a large grocery store packs ground beef in two-pound portions. Supervisors are concerned that their machine is no longer packaging the beef to the required...

The meat-packing department of a large grocery store packs ground beef in two-pound portions. Supervisors are concerned that their machine is no longer packaging the beef to the required specifications. To test
the claim that the mean weight of ground beef portions is not 2.00 pounds, the
supervisors calculate the mean weight for a simple
random sample of 20 packages of beef. The
sample mean is 2.10
pounds with a
standard deviation of 0.33 pounds.

Is there sufficient evidence at the
0.01 level of significance
to show that the machine is not working properly? (Assume that the weights are normally distributed.)

Use the Critical Value Method. Clearly show all steps.