Thompson & Thompson Inc. has decided to use an R-Chart to monitor the changes in the variability of their 0.33 inch metal shafts. The production manager randomly samples 8 metal shafts and measures the diameter of the sample (in inches) at 14 successive time periods. Period obs1 obs2 obs3 obs4 obs5 obs6 obs7 obs8 Sample Range 1 0.33 0.34 0.37 0.28 0.31 0.31 0.30 0.35 0.09 2 0.35 0.38 0.37 0.36 0.33 0.30 0.36 0.28 0.10 3 0.32 0.36 0.33 0.37 0.33 0.34 0.30 0.36 0.07 4 0.36 0.33 0.29 0.37 0.32 0.35 0.30 0.38 0.09 5 0.38 0.34 0.31 0.35 0.29 0.30 0.38 0.37 0.09 6 0.38 0.33 0.30 0.36 0.37 0.36 0.29 0.32 0.09 7 0.31 0.29 0.32 0.35 0.38 0.37 0.29 0.33 0.09 8 0.36 0.34 0.38 0.29 0.34 0.34 0.35 0.36 0.09 9 0.33 0.36 0.31 0.34 0.29 0.35 0.30 0.31 0.07
Thompson & Thompson Inc. has decided to use an R-Chart to monitor the changes in the variability of their 0.33 inch metal shafts. The production manager randomly samples 8 metal shafts and measures the diameter of the sample (in inches) at 14 successive time periods.
Period obs1 obs2 obs3 obs4 obs5 obs6 obs7 obs8 Sample Range
1 0.33 0.34 0.37 0.28 0.31 0.31 0.30 0.35 0.09
2 0.35 0.38 0.37 0.36 0.33 0.30 0.36 0.28 0.10
3 0.32 0.36 0.33 0.37 0.33 0.34 0.30 0.36 0.07
4 0.36 0.33 0.29 0.37 0.32 0.35 0.30 0.38 0.09
5 0.38 0.34 0.31 0.35 0.29 0.30 0.38 0.37 0.09
6 0.38 0.33 0.30 0.36 0.37 0.36 0.29 0.32 0.09
7 0.31 0.29 0.32 0.35 0.38 0.37 0.29 0.33 0.09
8 0.36 0.34 0.38 0.29 0.34 0.34 0.35 0.36 0.09
9 0.33 0.36 0.31 0.34 0.29 0.35 0.30 0.31 0.07
10 0.38 0.30 0.33 0.33 0.37 0.29 0.33 0.30 0.09
11 0.38 0.33 0.35 0.32 0.34 0.28 0.31 0.31 0.10
12 0.34 0.31 0.38 0.29 0.36 0.37 0.29 0.35 0.09
13 0.32 0.32 0.33 0.31 0.28 0.33 0.36 0.36 0.08
14 0.37 0.29 0.29 0.29 0.31 0.35 0.31 0.33 0.08
What is the Center Line of the control chart? Round to three decimal places.
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