Q$3$

$3$ Points

A process capability index $(C_{pk})$ greater than or equal to $1$ implies that a process is capable, while a process capability index $(C_{pk})$ less than $1$ implies that a process is not capable.

Q$3\mathrm{.}1$

$1$ Point

The Process Capability Index $(C_{pk})$ is used to measure how well a process performs relative to its specification limits$.$ How does $C_{pk}$ incorporate process characteristics?

$C_{pk}$ reflects both precision $($data spread$)$ and accuracy $($mean vs$.$ target$).$

$C_{pk}$ measures accuracy through the standard deviation of the process and ignores precision.

$C_{pk}$ focuses only on accuracy, ensuring that the process mean is close to the target value.

$C_{pk}$ only measures precision, as it reflects how tightly data points are clustered around the mean.

$C_{pk}$ assesses accuracy by considering the distance between the mean and the upper specification limit $($USL$)$ only.