Five Samples Were Taken, with Five Observations Each $\quad$ $\quad$

Essay

Five samples were taken, with five observations each. The sample findings are listed below. The sample values represent service times in minutes.
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Observation Number }$
$\begin{array}{lccccc}\text { Sample Number }&1&2&3&4&5\\\hline1 & 10.1 & 10.6 & 9.8 & 9.9 & 10.5 \\2 & 9.7 & 9.5 & 10.3 & 9.9 & 10.5 \\3 & 10.1 & 10.7 & 9.2 & 10.0 & 10.1 \\4 & 9.9 & 9.8 & 10.5 & 10.4 & 10.1 \\5 & 10.4 & 10.1 & 10.9 & 9.9 & 10.1\end{array}$
a. Determine the control limits for the R-chart.
b. Would you conclude the R-chart is in statistical control and proceed to develop the x-bar chart?