A critical device has a mount whole specified between $3\mathrm{.}0$ millimeters and $3\mathrm{.}3$ millimeters $($as design specification$).$ From a sample manufacturing data, it obtained

Grand mean $=3\mathrm{.}1$ millimeter

Standard deviation, $\backslash$sigma $=0\mathrm{.}05$ millimeter.

Q$.$ What is the Cpk$?$

Cpk $=$ min $\{$Cpu$,$ Cpl$\}$

Find the Cpu and Cpl$,$ and pick the min of the two values

$1\mathrm{.}33$

$0\mathrm{.}667$

$1\mathrm{.}67$

$1\mathrm{.}2$