1. A metal fabricator produces metal rods with an outer diameter that has a 3.250 .01 inches specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 3.251 inches with a standard deviation of .002 inches.
   1. Calculate the process capability index for this example.
   2. Determine the probability of producing a defect.
   3. Calculate the DPMO of the process.
   4. Is the process six sigma compliant?