R$-$Charts $(10+5+10$ points$)$: Control charts for$*$ and Rare maintained on the tensile strength of a metal fastener. $6$ observations each with $6$ observations, are analyzed and it results $30=12,870$ and $=1350.($a$)$ Compute control limits on R$-$Chart.

the process output is normally distributed, and the specification is $44040$ with $[=429$ and $$x $=17\mathrm{.}758,$ can the process meet the specification and why? Estimate the fraction nonconforming.