Ten samples of size n = 8 have been collected from a process in statistical control, and the dimension of interest has b
Posted: Thu Feb 17, 2022 11:01 am
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
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