Please help me answer this question with detailed steps and answers, preferably done on a computer. If handwriting is required, please do not use cursive script

Question $\backslash (2(5+5+5\backslash )$ points$)$

Breeze Toothpaste Company makes tubes of toothpaste. The product is produced and them pumped into tubes and capped. The production manager is concerned whether the filling process for the tubes of toothpaste is in statistical control. The process should be centered on $7$ ounces per tube. Samples of $6$ tubes were taken and each tube was weighted. The weights are:

Guideline: Follow procedures for constructing control charts and use A$2,$ D$3,$ and D$4$ tables in Quality Management Lecture

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$multirow$[$t$]\{2\}\{*\}\{$Sample$\}$ & $\backslash$multicolumn$\{5\}\{|$l$|\}\{$Ounces of Toothpaste per tube$\}$ & & $\backslash$multicolumn$\{2\}\{|$l$|\}\{\}\backslash \backslash$

$\backslash$hline & Tube $1$ & Tube $2$ & Tube $3$ & Tube $4$ & Tube $5$ & Tube $6$ & X$-$bar & R $\backslash \backslash$

$\backslash$hline Sample $1$ & $6\mathrm{.}90$ & $6\mathrm{.}86$ & $7\mathrm{.}12$ & $7\mathrm{.}18$ & $6\mathrm{.}99$ & $7\mathrm{.}01$ & $$ & $\backslash \backslash$

$\backslash$hline Sample $2$ & $7\mathrm{.}22$ & $6\mathrm{.}80$ & $6\mathrm{.}98$ & $7\mathrm{.}02$ & $7\mathrm{.}10$ & $6\mathrm{.}76$ & $$ & $\backslash \backslash$

$\backslash$hline Sample $3$ & $6\mathrm{.}88$ & $7\mathrm{.}34$ & $7\mathrm{.}25$ & $6\mathrm{.}94$ & $7\mathrm{.}06$ & $6\mathrm{.}23$ & & $\backslash \backslash$

$\backslash$hline Sample $4$ & $7\mathrm{.}12$ & $6\mathrm{.}57$ & $7\mathrm{.}11$ & $7\mathrm{.}23$ & $7\mathrm{.}01$ & $7\mathrm{.}02$ & & $\backslash \backslash$

$\backslash$hline Sample $5$ & $6\mathrm{.}84$ & $6\mathrm{.}76$ & $6\mathrm{.}85$ & $6\mathrm{.}84$ & $7\mathrm{.}03$ & $6\mathrm{.}78$ & $$ & $\backslash \backslash$

$\backslash$hline Sample $6$ & $7\mathrm{.}05$ & $6\mathrm{.}99$ & $7\mathrm{.}01$ & $6\mathrm{.}89$ & $6\mathrm{.}78$ & $6\mathrm{.}98$ & $$ & $\backslash \backslash$

$\backslash$hline

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

a$)$ Find the sample average and range for each of the six samples as completing the table. $(5$pts$)$

b$)$ Construct the control limits of the X $-$bar chart. Is there any out of control sample? $(5$pts$)$

c$)$ Construct the control limits of the R$-$chart. Is there any out of control sample? $(5$ pts $)$