The control limits for the 3-sigma R-chart are:
Upper Control Limit (UCL [tex]\left.{ }_R\right)=\square[/tex] inches (round your response to four decimal places).

[tex][tex]\begin{tabular}{ccc|ccc}
\hline Sample & Sample Mean (in.) & Range (in.) & Sample & Sample Mean (in.) Range (in.) \\
\hline [tex]\mathbf{1}[/tex] & [tex]8.202[/tex] & [tex]0.033[/tex] & 7 & [tex]8.203[/tex] & [tex]0.041[/tex] \\
2 & [tex]8.204[/tex] & [tex]0.041[/tex] & 8 & [tex]8.203[/tex] & [tex]0.034[/tex] \\
3 & [tex]8.193[/tex] & [tex]0.034[/tex] & 9 & [tex]8.193[/tex] & [tex]0.027[/tex] \\
[tex]\mathbf{4}[/tex] & [tex]8.204[/tex] & [tex]0.051[/tex] & 10 & [tex]8.203[/tex] & [tex]0.029[/tex] \\
[tex]\mathbf{5}[/tex] & [tex]8.197[/tex] & [tex]0.031[/tex] & 11 & [tex]8.201[/tex] & [tex]0.039[/tex] \\
[tex]\mathbf{6}[/tex] & [tex]8.201[/tex] & [tex]0.036[/tex] & 12 & [tex]8.204[/tex] & [tex]0.047[/tex] \\
\hline
\end{tabular}[/tex][/tex]