Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean

$(\backslash$mu $)$

of

$10\mathrm{.}00$

and a standard deviation

$(\backslash$sigma $)$

of

$0\mathrm{.}04.$

Your desired performance is

$\backslash$mu

$=$

$10\mathrm{.}00$

$\backslash$pm $3$

standard deviations, where

$\backslash$sigma

$=$

$0\mathrm{.}020.$

Part $2$

For the given information, the process capability index

$($Cpk$)$

$=$

enter your response here

$($round your response to three decimal places$).$