$-$ The data shown in Table $6$E$\mathrm{.}4$ are the deviations from nominal diameter for holes drilled din a carbon$-$fiber composite material used in aerospace manufacturing. The values reported are deviations from nominal in ten$-$thousandths of an inch

TABLE $6$E$\mathrm{.}4$ Hole Diameter Data for Exercise $6\mathrm{.}9$ Sample Number rr r $-30+50-2010+300+50-60-20+303-50+10+2030+2010-10+3020+505+20-40+50+20+100$ O $+4040+20700+20-20-108+7030+30-10000+20-20+1010+10+20+30+10+5011+40+200+2012+30+20+30+10+401343030010+1014+30-10+50-103015+10-10+50+40000+300017+20+20+30+30-2018+10-20+50+30+1019+50-10+40+20020+50030+10616$

a$)$ Set up x and R charts on the process. Is the process in statistical control?

$($b$)$ Estimate the process standard deviation using the range method.

$($c$)$ If specifications are at nominal $100,$ what can you say about the capability of this process? Calculate the PCR Cp$.$

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TABLE $6$E$\mathrm{.}4$ Hole Diameter Data for Exercise $6\mathrm{.}9$ Sample Number rr r $-30+50-2010+300+50-60-20+303-50+10+2030+2010-10+3020+505+20-40+50+20+100$ O $+4040+20700+20-20-108+7030+30-10000+20-20+1010+10+20+30+10+5011+40+200+2012+30+20+30+10+401343030010+1014+30-10+50-103015+10-10+50+40000+300017+20+20+30+30-2018+10-20+50+30+1019+50-10+40+20020+50030+10616$