Problem:

Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean (mu) of 12.00 and a standard deviation (sigma) of 0.04. Your desired performance is mu = 12.00 +/- 3 standard deviations, where sigma is 0.020.

Required:

Question 1) What is the process capability index?

a) 0.100

b) 0.300

c) 0.500

d) 0.700

e) 0.900

Solve the problem and show all work.