A process that produces computer chips has a mean of 04 defe

A process that produces computer chips has a mean of .04 defective chip and a standard deviation of .003 chip. The allowable variation is from .032 to .048 defective.

Compute the capability index (C_p) for the process. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)

Solution

(a). Capability index (C_p)=(USL-LSL)/6* standard deviation

(C_P)= (0.048-0.032)/6*0.003

  (C_P)=0.888

(B) YES process is capable as long as it is located at the midpoint,

mean=(USL-LSL)/2

=(0.048-0.032)/2

=0.04