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Construct a Run Chart for Individual Values Corresponding to the Given

Question 27

Essay

Construct a run chart for individual values corresponding to the given data. A machine that is
supposed to produce ball bearings with a diameter of 7 millimeters yields the following data
from a test of 5 ball bearings every 20 minutes. \quad \quad \quad \quad \quad  Ball Bearing Diameter (mm ) \text { Ball Bearing Diameter }(\mathrm{mm} \text { ) }
 Sample xˉ Range 16.36.86.96.86.96.740.626.36.66.66.37.06.560.736.86.77.06.57.06.800.547.06.76.76.86.86.800.356.86.86.66.56.46.620.466.86.76.66.36.96.660.677.37.37.47.47.07.280.487.27.07.26.97.17.080.397.37.67.17.47.67.400.5107.27.67.57.67.17.400.5117.27.27.47.07.07.160.4127.57.47.47.67.17.400.5\begin{array}{c|ccccc|c|c|}\text { Sample } &&&&& & \bar{x} & \text { Range } \\\hline 1 & 6.3 & 6.8 & 6.9 & 6.8 & 6.9 & 6.74 & 0.6 \\2 & 6.3 & 6.6 & 6.6 & 6.3 & 7.0 & 6.56 & 0.7 \\3 & 6.8 & 6.7 & 7.0 & 6.5 & 7.0 & 6.80 & 0.5 \\4 & 7.0 & 6.7 & 6.7 & 6.8 & 6.8 & 6.80 & 0.3 \\5 & 6.8 & 6.8 & 6.6 & 6.5 & 6.4 & 6.62 & 0.4 \\6 & 6.8 & 6.7 & 6.6 & 6.3 & 6.9 & 6.66 & 0.6 \\7 & 7.3 & 7.3 & 7.4 & 7.4 & 7.0 & 7.28 & 0.4 \\8 & 7.2 & 7.0 & 7.2 & 6.9 & 7.1 & 7.08 & 0.3 \\9 & 7.3 & 7.6 & 7.1 & 7.4 & 7.6 & 7.40 & 0.5 \\10 & 7.2 & 7.6 & 7.5 & 7.6 & 7.1 & 7.40 & 0.5 \\11 & 7.2 & 7.2 & 7.4 & 7.0 & 7.0 & 7.16 & 0.4 \\12 & \quad7.5 \quad& 7.4 & 7.4 & 7.6 & \quad 7.1 \quad& 7.40 & 0.5\end{array}

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