Problem $10-22($Algo$)$

C$.$Spec, Inc. is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of

$5+-0\mathrm{.}004$ inche. 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. $($Round your answer to $3$ decimal places.$)$

Capability Index

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

Yes

No