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Five Samples Are Taken, with Five Observations Each ADetermine the Control Limits for the R-Chart

Question 106

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Five samples are taken, with five observations each. The sample findings are listed below. The sample values represent service times in minutes. ObservationNumber
 Sample  Number 12345110.110.69.89.910.929.79.510.39.910.5310.110.79.210.010.149.99.810.510.410.1510.410.110.99.910.3\begin{array}{|r|r|r|r|r|r|}\hline \frac{\text { Sample }}{\text { Number }} & 1 &2&3&4&5\\\hline 1 & 10.1 & 10.6 & 9.8 & 9.9 & 10.9 \\\hline 2 & 9.7 & 9.5 & 10.3 & 9.9 & 10.5 \\\hline 3 & 10.1 & 10.7 & 9.2 & 10.0 & 10.1 \\\hline 4 & 9.9 & 9.8 & 10.5 & 10.4 & 10.1 \\\hline 5 & 10.4 & 10.1 & 10.9 & 9.9 & 10.3 \\\hline\end{array}
a.Determine the control limits for the R-chart.
b.Can it be concluded that the R-chart is in statistical control and proceed to develop the x-bar chart?

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a.R1 = 1.1, R2 = 1.0, R3 = 1.5, R4 = 0.7, R5 ...

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