$7.$ Excel sheet fourth tab. This data is from a gauge $\backslash ($ R $\backslash$& R $\backslash )$ conducted by your company with $10$ parts, $2$ trials, and $2$ operators. Is the gage capable? $($If you import to Matlab make sure you format the data correctly!$)(15$ pts$)$

$8.$ Chose an appropriate single sample plan for an AQL of $\backslash (1\mathrm{.}15\backslash \%\backslash )$ and LTPD of $\backslash (8\backslash \%\backslash )$ if the producer's risk is $\backslash (5\backslash \%\backslash )$ and the customer's risk is $\backslash (5\backslash \%\backslash ).$

a$)$ Provide the OC curve for this sampling plan.

b$)$ What is the AOQL?

c$)$ What is the ATI? $(15$ pts $)\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline & A & B & C & D & E $\backslash \backslash$

$\backslash$hline $1$ & & $\backslash$multicolumn$\{2\}\{|$l$|\}\{$Operator $1\}$ & $\backslash$multicolumn$\{2\}\{|$l$|\}\{$Operator $2\}\backslash \backslash$

$\backslash$hline $2$ & Part & Trial $1$ & Trial $2$ & Trial $1$ & Trial $2\backslash \backslash$

$\backslash$hline $3$ & $1$ & $1\mathrm{.}00$ & $1\mathrm{.}00$ & $1\mathrm{.}04$ & $0\mathrm{.}96\backslash \backslash$

$\backslash$hline $4$ & $2$ & $0\mathrm{.}83$ & $0\mathrm{.}77$ & $0\mathrm{.}80$ & $0\mathrm{.}76\backslash \backslash$

$\backslash$hline $5$ & $3$ & $0\mathrm{.}98$ & $0\mathrm{.}98$ & $1\mathrm{.}00$ & $1\mathrm{.}04\backslash \backslash$

$\backslash$hline $6$ & $4$ & $0\mathrm{.}96$ & $0\mathrm{.}96$ & $0\mathrm{.}94$ & $0\mathrm{.}90\backslash \backslash$

$\backslash$hline $7$ & $5$ & $0\mathrm{.}86$ & $0\mathrm{.}83$ & $0\mathrm{.}72$ & $0\mathrm{.}74\backslash \backslash$

$\backslash$hline $8$ & $6$ & $0\mathrm{.}97$ & $0\mathrm{.}97$ & $0\mathrm{.}98$ & $0\mathrm{.}94\backslash \backslash$

$\backslash$hline $9$ & $7$ & $0\mathrm{.}63$ & $0\mathrm{.}56$ & $0\mathrm{.}56$ & $0\mathrm{.}56\backslash \backslash$

$\backslash$hline $10$ & $8$ & $0\mathrm{.}86$ & $0\mathrm{.}94$ & $0\mathrm{.}82$ & $0\mathrm{.}78\backslash \backslash$

$\backslash$hline $11$ & $9$ & $0\mathrm{.}64$ & $0\mathrm{.}72$ & $0\mathrm{.}56$ & $0\mathrm{.}52\backslash \backslash$

$\backslash$hline $12$ & $10$ & $0\mathrm{.}59$ & $0\mathrm{.}51$ & $0\mathrm{.}43$ & $0\mathrm{.}43\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$