A process with a mean output of 16 and a standard deviation of output of 0.75 has been provided specification limits of 19 and 13. Which statement below is most appropriate for this process?
A) Process is not capable
B) Process is capable
C) Process is barely capable
D) Not enough information to answer this question

Question

Quizplus · Accepted Answer

To determine if a process is capable, we need to calculate the process capability index (Cpk). 
Cpk = min((USL-μ)/(3σ), (μ-LSL)/(3σ))
Where USL is the upper specification limit, LSL is the lower specification limit, μ is the process mean, and σ is the process standard deviation.

Plugging in the values given, we get:
Cpk = min((19-16)/(3*0.75), (16-13)/(3*0.75))
Cpk = min(1, 1)
Cpk = 1

A Cpk value of 1 or higher indicates that the process is capable of meeting the specifications. Therefore, the most appropriate statement for this process is that it is capable.

A Process with a Mean Output of 16 and a Standard