Answer:
A. 1.111
B. The process is not capable
Explanation:
Part A
Capacity index help to determine the performance of a process and how it could perform in the future. A capacity index of above 1.33 means that the process is capable but a capacity index below 1.33 means that the process is not capable. The capacity index can be calculated using equation 1;
From the mean which is 0.5, it can be determined that the process is a centered process.
For centered process, the mean = 0.5 x (Upper s. - Lower S.) = 0.5 x 0,02 = 0.04
so the capacity index for centered mean will be used
[tex]C_{p} =\frac{Upper Specification-Lower Specification}{6 * standard deviation}[/tex] ................................................1
Given standard deviation = 0.003
upper specification = 0.05
lower specification = 0.03
[tex]C_{p} =\frac{0.05- 0.03}{6 * 0.003}\\\\C_{p} = \frac{0.02}{0.018} \\\\C_{p} = 1.111[/tex]
Therefore the capacity index of the process is 1.111
Part B
The capacity index of the process is 1.111 and it is less than 1.33, this means that the process is not capable.
