Construct a 3-Sigma $\bar { X }$ - and R-Chart for the Length in Centimeters of a for the Length

Essay

Construct a 3-sigma $\bar { X }$
- and R-chart for the length in centimeters of a part using the samples found in the following table.
$\begin{array}{c}\quad\quad\quad\text { Observation }\\\begin{array}{crrrrr}\text { Sample \# } & 1 & 2 & 3 & 4 & 5 \\\hline 1 & 10.10 & 10.60 & 9.80 & 9.90 & 10.90 \\2 & 9.70 & 9.50 & 10.30 & 9.90 & 10.50 \\3 & 10.10 & 10.70 & 9.20 & 10.00 & 10.10 \\4 & 9.90 & 9.80 & 10.50 & 10.40 & 10.10 \\5 & 10.40 & 10.10 & 10.90 & 9.90 & 10.30 \\6 & 10.30 & 10.20 & 9.90 & 10.00 & 9.80 \\7 & 9.30 & 9.70 & 10.00 & 10.30 & 9.90 \\8 & 10.10 & 9.90 & 9.80 & 10.00 & 10.10 \\9 & 9.50 & 10.40 & 10.10 & 10.70 & 10.40 \\10 & 9.20 & 10.10 & 9.90 & 9.80 & 10.20\end{array}\end{array}$