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

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andromache andromache · Answer 1 · 2020-07-26T10:51:45+02:00

Answer:

c.) No, because Cp < 1

Step-by-step explanation:

Let us assume that there is centered in the process

and, the width is 2 times the specification

So, the width is

[tex]= 2 \times 0.07[/tex]

= 0.14

Now capability index = Cp is

[tex]= \frac{specification\ width}{6 \times standard\ deviation}\\\\= \frac{0.14}{6\times 0.04}[/tex]

= 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.