„Given three production runs of test data with five samples each, determine the control limits or the upper and lower control limits for the associated Xbar and R charts (values are in mm):

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1.Given three production runs of test data with five samples each, determine the control limits
for the upper and lower control limits for the associated Xbar and R charts (values are in mm):
X1
X2
X3
19.5
19.9
19.6
19.9
20.0
19.4
19.2
20.3
20.3
19.7
19.9
20.1
20.0
19.3
19.7
Sample Size
A2
d2
1.128
D4
D3
2
1.880
3.267
3
1.023 2.575
1.693
4
0.729 2.282
2.059
5
0.577 2.115
2.326
0.483 2.004
2.534
7
0.419 1.924 0.078 2.704
8.
0.373
1.864 0.136 2.847
9.
0.337 1.816 0.184 2.97O
10
0.308
1.777 0.223 3.078
12
0.266 1.716
0.284 3.258
15
0.223
1.652 0.348
3.472
20
0.180
1.586
0.414 3.735
Transcribed Image Text:1.Given three production runs of test data with five samples each, determine the control limits for the upper and lower control limits for the associated Xbar and R charts (values are in mm): X1 X2 X3 19.5 19.9 19.6 19.9 20.0 19.4 19.2 20.3 20.3 19.7 19.9 20.1 20.0 19.3 19.7 Sample Size A2 d2 1.128 D4 D3 2 1.880 3.267 3 1.023 2.575 1.693 4 0.729 2.282 2.059 5 0.577 2.115 2.326 0.483 2.004 2.534 7 0.419 1.924 0.078 2.704 8. 0.373 1.864 0.136 2.847 9. 0.337 1.816 0.184 2.97O 10 0.308 1.777 0.223 3.078 12 0.266 1.716 0.284 3.258 15 0.223 1.652 0.348 3.472 20 0.180 1.586 0.414 3.735
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