a A machine spindle has a specification tolerance on its dia

(a) A machine spindle has a specification (tolerance) on its diameter of 1.500

Solution

a.We know

=

Given =1.0, Specification 1.5000.009 inches.

USL=1.500+0.009=1.509

LSL=1.500-0.009=1.491

USL-LSL=0.018

=

==6*1.0/0.018=333.333

b. To achieve a process capability index of 1.33, standard deviation is

==6*1.33/0.018=443.333