Q :A product has a nominal length of 11cm. The tolerance associated with this dimension is +0.5cm and -0.5cm. Inspection is carried out on the length and it is found that the mean length is 10.9cm with the standard deviation of 0.47cm.

i. Calculate the natural process limits.

ii. State the specification limits.

iii. Construct process showing all the four limits. In addition, shade the proportion of the product that is outside specification.

iv. Calculate both capability indices.