Question: In the past a machine (in proper working order) has produced plastic disks having a mean thickness of 0.050 inches. To determine whether the machine is in proper working order, a random, representative sample of 10 plastic disks is chosen and the mean thickness is found to be 0.053 inches and the standard deviation is 0.003 inches. Can we be 95% confident that the machine is in proper working order? If the true mean is later found to be .055, what is the power of the test?