Assume that the quality characteristic is normally distributed.$($a$)$ Compute control limits for the x and R controlcharts.$($b$)$ All points on both control charts fall between thecontrol limits computed in part $($a$).$ What are thenatural tolerance limits of the process?$($c$)$ If the specification limits are $41\backslash$pm $5\mathrm{.}0,$ what are your conclusions regarding the ability of the process to produce items within these speci$-$fications?$($d$)$ Assumingthatifanitemexceedstheupperspec$-$ification limit it can be reworked, and if it is below the lower specification limit it must be scrapped, what percentage scrap and rework is the process producing?$($e$)$ Make suggestions as to how the process perfor$-$ mance could be improved.