Hole diameter data for $20$ samples $($sample size $=5)$ result in

n $=5$; $=0\mathrm{.}00109$; $=0\mathrm{.}00635$; $=0\mathrm{.}00273$

$($a$)$ If the specifications are at $0+0\mathrm{.}01,$ calculate Cp and Cpk$.$

$($b$)$ Is the process mean maintained in the center?

$($c$)$ Approximately how many $\%$ of the specification band has been used up$?($Hint: This can be

calculated as $1/$Cp$).$

$($d$)$ Is this process capable of meeting the specifications? $($Note: to meet the spefications, Cpk has

to be greater than $1\mathrm{.}33).$