Problem $3.$ A new contract was written with Company A with the following stipulations:

Cpk $=1\mathrm{.}33,$ Specification Nominal $($N$)=11+0\mathrm{.}5$ mils.

The Supplier found that their process average of $11$ could vary

by as much as $0\mathrm{.}1$ mils. The Supplier decided to monitor quality

with a P$-$Chart $($n $=20).$ Find the following:

$\backslash$sigma :

$\_\_\_\_\_\_\_$

Pbar:

$\_\_\_\_\_\_\_$ UCLp: $\_\_\_\_\_\_\_$

Reject Rate $($RR$)$: $\_\_\_\_\_\_\_$

PPM LCLp: $\_\_\_\_\_\_\_$

NOTE: P$-$Chart Calculations are separate from the Cpk calculations. The

$\backslash$sigma is derived from the Cpk minimum.