Ten samples of size n = 8 have been collected from a process in
statistical control, and the dimension of interest has been
measured for each part.
a. Determine the values of the center, LCL, and UCL for the 𝑥̅
and R charts. The calculated values of 𝑥̅and R for each sample are
given below (measured values are in mm).
b. Construct the control charts and plot the sample data on the
charts
S 2 R 1 9.22 0.24 2 9.15 0.17 3 9.20 0.30 4 9.28 0.26 5 9.19 0.27 6 9.12 0.19 7 9.20 0.21 8 9.24 0.32 9 9.17 0.21 10 9.23 0.23 Constants for Control Charts Sample size A: D 1.880 3.267 1.023 2.575 0.729 2.282 0.577 2.115 0.483 2.004 0.419 1.924 0.373 1.864 9 0.337 1.816 10 0.308 1.777 12 0.266 1.716 15 0.223 1.652 20 0.180 1.586 D 0 0 0 0 0 0.078 0.136 0.184 0.223 0.284 0.348 0.414 d2 1.128 1.693 2.059 2.326 2.534 2.704 2.847 2.970 3.078 3.258 3.472 3.735
Ten samples of size n = 8 have been collected from a process in statistical control, and the dimension of interest has b
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