Question: Construct a x-bar and R -chart for the length in centimeters of a part from the following table. Do you think the process is under
Construct a x-bar and R-chart for the length in centimeters of a part from the following table. Do you think the process is under control, why?

Table 1. \begin{tabular}{|l|l|l|l|l|} \hline Sample \# & Observation 1 & Observation 2 & Observation 3 & Observation 4 \\ \hline 1 & 0.486 & 0.499 & 0.493 & 0.511 \\ \hline 2 & 0.499 & 0.506 & 0.516 & 0.494 \\ \hline 3 & 0.496 & 0.5 & 0.515 & 0.488 \\ \hline 4 & 0.495 & 0.506 & 0.483 & 0.487 \\ \hline 5 & 0.472 & 0.502 & 0.526 & 0.469 \\ \hline 6 & 0.473 & 0.495 & 0.507 & 0.493 \\ \hline 7 & 0.495 & 0.512 & 0.49 & 0.471 \\ \hline 8 & 0.525 & 0.501 & 0.498 & 0.474 \\ \hline 9 & 0.497 & 0.501 & 0.517 & 0.506 \\ \hline 10 & 0.495 & 0.505 & 0.516 & 0.511 \\ \hline \end{tabular}
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