Problem $13-6($Algo$)$

C$-$Spec, Incorporated, is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of $5+-0\mathrm{.}004$ inches. After a trial run on this machine, $C-$Spec has determined that the machine has a sample mean of $5\mathrm{.}003$ inches with a standard deviation of $0\mathrm{.}003$ inch.

a$.$ Calculate the $C_{pk}$ for this machine.

Note: Round your answer to $3$ decimal places.

Cpk

b$.$ Should C$-$Spec use this machine to produce this part?

Should C$-$Spec use this machine