Question

Frank Pianki, the manager of an organic yogurt processing plant desires a quality specification with a mean of 16.0 ounces, an upper specification limit of 16.5 ounces, and a lower specification limit of 15.5 ounces. The process has a mean of 16.0 ounces and a standard deviation of 1 ounce. The process capability index (C

pk
​
)= (round your response to three decimal places).

Answer 1

To three decimal places, The process capability index is 0.167

Explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167