$2$ The production manager of the Airco Company started receiving complaints from its customer, Boeing, about the non$-$conformance of its parts with their specifications.

Arico produces door and window handles for different airplane models. He started an investigation to determine the reasons behind these complaints. He found that for the

door handles, the capability process index cp $=1\mathrm{.}33,$ the process mean is right on target

and the dispersion $($USL$-$LSL$)$ around it is equal to $24.$ He also found that for the window

handles, the capability process index cok $=1,$ the process mean is off target by $3($shifted

to the higher end$)$ and the dispersion $($USL$-$LS$)$ is equal to $18.$

a$-$ Estimate the value of the standard deviation $($a$)$ of the door handles, and determine how many Sigma is the process?

$(2$ points$)$

Sigma $(0)=$

The process is

Sigma

b$-$ Estimate the value of the standard deviation $($o$)$ of the Window handles, and determine the value of process capability ratio cp$.$

Sigma $(0)=$

$(2$ points$)$

$=$

c$-$ Discuss your results.