Answer:
a) 0.667
b) Yes
Explanation:
Data provided in the question:
Mean = 0.04
Standard Deviation = 0.003
Upper Specification Limit, USL = 0.046
Lower Specification Limit, LSL = 0.034
Now,
a) Capability Index is given as:
Cp =
or
Cp =
or
Cp = 0.667
Also,
Cpk = min(
or
Cpk = min(
or
Cpk = min( 0.667 , 0.667 )= 0.667
Since,
Cp and Cpk are same in this case
therefore, it is ideal condition and process is capable
b) yes