Question

A process on a machine has a standard deviation of 0.04 inches. If a product with specifications of +/- 0.07 inches has to be processed on that machine, is the machine capable of performing that job? Group of answer choices

Answer 1

c.) No, because Cp < 1

Explanation:

Let us assume that there is centered in the process

and, the width is 2 times the specification

So, the width is

`= 2 * 0.07`

= 0.14

Now capability index = Cp is

`= (specification\ width)/(6 * standard\ deviation)\\\\= (0.14)/(6* 0.04)`

= 0.58333

And the capability index should be minimum 1 for the process

And as we can see that Cp is 0.58333 which is less than 1 so the machine is not able to perform the job

Hene, the correct option is c.