A company produces shafts with a nominal diameter of 1'' and a tolerance of +/-.005 on a lathe. The process has a standard deviation of .001''. For each of the following cases calculate the capability ratio (Cp) and the process capability index (Cpk).
a. The process mean is 1.002''
b. The process mean is 1.003''
c. The process mean is 1.005''
d. The process mean is 0.998''