Question

Frankâ Pianki, the manager of an organic yogurt processing plant desires a quality specification with a mean of 18.0 âounces, an upper specification limit of 18.6 âounces, and a lower specification limit of 17.4 ounces. The process has a mean of 18.0 ounces and a standard deviation of 1.25 ounce.

The process capability index â (Cpkâ) â= _____ â(round your response to three decimalâ places).

Answer 1

Answer: 0.050

Step-by-step explanation:

Mean = 18

USL = 18.6

LSL = 17.4

SD = 1.25

Cpk = Min{(mean - LSL / 3*sd), (USL - mean / 3*sd)}

= Min{ ( 18 - 17.4/ 3 * 1.25), (18.6 - 18 / 3 * 1.25)}

= Min { 0.05 0.05)

Cpk = 0.050