Classwork $4.$ Quality Management

BUS$3260$

Q$3.$ A metal fabricator produces connecting rods with an outer diameter that has a $1+-\mathrm{.}01$ inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be $1\mathrm{.}002$ inches with a standard deviation of $\mathrm{.}003$ inch.

$a$

b$)$ Is this process capable if three sigma control limits are required? it is not cupable

c$)$ How can I improve the process to make it six$-$sigma capable $($A process is six$-$sigma capable when $Cpk2)?$