Would you create X$-$ bar and R Charts for this data or X$-$bar and S Charts?

What is the centerline for the corresponding X$-$bar chart?

What is the UCL for the corresponding X$-$bar chart?

What is the LCL for the corresponding X$-$bar chart?

What is the centerline for the corresponding $R$ or $S$ chart?

What is the UCL for the corresponding R or S chart?

What is the LCL for the corresponding R or $S$ chart?

Is this process under control? Why or Why not?

Stub Shafts processed on Machine A

Overall Length Measurement Data

Target: $4\mathrm{.}00$ in$.$ Tolerance: $+/-\mathrm{.}005$ in$.$

Subgroup Size: $5$

$\backslash$table$[[$Subgroup$,$shaft $1,$shaft $2,$shaft $3,$shaft $4,$shaft $5,x,x\frac{-}{b}ar,$range$],[1,3\mathrm{.}992,3\mathrm{.}999,4\mathrm{.}003,3\mathrm{.}994,3\mathrm{.}996,19\mathrm{.}984,3\mathrm{.}997,0\mathrm{.}011]]$