Four Samples of Three Observations Each Have Been Taken, with Actual

question 99

Essay

Four samples of three observations each have been taken, with actual measurements (in centimeters) shown below. Construct three-sigma mean and range charts. $\begin{array}{ccrc}\text { Sample }\\\begin{array}{ccrc}\hline 1 & 2 & 3 & 4 \\12.3 & 11.9 & 12.0 & 12.1 \\12.2 & 12.2 & 12.2 & 11.8 \\12.1 & 12.2 & 11.8 & 11.8\end{array}\end{array}$

$\begin{array}{ccccc}\text { Sample } & 1 & 2 & 3 & 4 \\\text { Mean } & 12.2 & 12.1 & 12.0 & 11.9 \\\text { Range } & .2 & .3 & 4 & .3\end{array}$

$\text { Grand mean }=12.05 ; \text { R-bar }=0.3$

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