Question

The specification limits for a product are 8 cm and 10 cm. A process that produces the product has a mean of 9.5 cm and a standard deviation of 0.2 cm. What is the process capability, Cpk

Answer 1

The value of Cpk is 0.83.

Step-by-step explanation:

Given that,

Upper specification limits = 10 cm

lower specification limits = 8 cm

Mean = 9.5

Standard deviation = 0.2 cm

We need to calculate the process capability

Using formula of Cpk

`Cpk=min((USL-mean)/(3* SD), (mean-LSL)/(3* SD))`

Put the value into the formula

`Cpk=min((10-9.5)/(3*0.2), (9.5-8)/(3*0.2))`

`Cpk=min(0.83,2.5)`

`Cpk=0.83`

Hence, The value of Cpk is 0.83.