A manufacturing firm is attempting to determine whether an existing machine is capable of milling an auto part that has a key specification of 2±0.004 inches. After a trial run on this machine, they have determined that the machine has a process mean of 2.000 inches with a standard deviation of 0.002 inch.
Calculate the proportion of the defective products that will be produced. Determine the process sigma quality level.
Suppose the process mean shifts to 2.004 inches, and the standard deviation becomes 0.003 inch, recalculate the defective proportion.