Repeat Exercise 3, using the \(S\) chart in place of the \(R\) chart.

Data From Exercise 3:

The thickness, in mm, of metal washers is measured on samples of size 5. The following table presents the means, ranges, and standard deviations for 20 consecutive samples.

The means are \(\overline{\bar{X}}=2.505, \bar{R}=0.1395\), and \(\bar{s}=0.057\).

Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 X 2.49 2.45 2.51 2.53 2.49 2.44 2.44 2.42 2.42 2.47 2.54 2.45 2.54 2.55 2.50 2.53 2.58 2.59 2.60 2.56 R 0.12 0.17 0.13 S 0.07 0.06 0.06 0.25 0.09 0.11 0.06 0.11 0.06 0.12 0.05 0.18 0.06 0.08 0.05 0.06 0.02 0.19 0.07 0.09 0.04 0.21 0.07 0.10 0.05 0.25 0.08 0.11 0.04 0.16 0.07 0.09 0.03 0.12 0.05 0.14 0.06