Question $3$

$93.(2.$points$).$ MR$-$chan UCL $=1615.CL=891.CCL=1\mathrm{.}67$ Avsume both to idenniy the shift thufted $10357$

$]=[\frac{O}{\frac{\text{U}\text{C}\text{L}-{}_1}{}}-\frac{O}{\frac{LCL-{}_1}{}}$

$(9)$ A manufactuving process was producing a critical dinention with specification of $355+-6.$ In order to monitor the Process collected after each two hour. Based on the collected data, contro linit of $x$&$MR$ chart were calculaled, where $$ chart.

$U_{CL}=363,CL=36LCL=387$ and $MR$ chart UCL$=16\mathrm{.}18$

$CL=8\mathrm{.}91$

$LCL=1\mathrm{.}64$

Assume both charts exibibit in control and quallity, process shifed to $357$ Oh averase hoW much the time chart will take to idatity shifts?