The sample mean and ranges for 20 samples, each of size n=9, from a manufacturing process are provided below. Sample Range Mean Sample Range Mean 1. 1.120 21.707 11 0.999 19.869 3.005 22.254 19.629 2.095 22.525 2. 12 2.239 3. 2.657 22.792 13 4. 3.165 20.702 14 1765 19.951 2.832 22.936 15 0.724 19.262 6. 1.374 21.881 16 0.731 19.791 7. 1.060 19.408 17 3.743 21.423 3.166 22.543 18 3.686 21.792 6. 2.836 22.828 19 2.754 20.186 10 3.791 21.141 20 1.682 19.059 Download CSV Table of Control Chart Constants Report anssvers accurate to 3 decimal places. Do not round intermediate results. a) The lower and upper control limits for the R-chart are: LCL= UCL= Does it appear that the process range is out of control? ONo. There is no point outside the control limits. O No. There is at least one point outside the control limits. O Yes. There is at least one point outside the control imits. O Yes. There is no point outside the control limits. b) The lower and upper contral limits for the -chart are: LCL = UCL= Does it appear that the process mean is out of control? O Yes. There is no point outside the control limits. ONo. There is no point outside the control limits. ONo. There is at least one point outside the control limits. OYes. There is at least one point outside the control limits

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Table of Control Chart Constants
Table of Control Chart Constants
Sample
A2
D3
D4
Size
1.880
3.267
1.023
2.575
0.729
2.282
0.577
2.114
0.483
2.004
0.419 0.076
0.373 0.136 1.864
1.924
0.337 0.184
1.816
10
0.308 0.223
1.777
11
0.285 0.256 1.744
12
0.266 0.283 1.717
13
0.249 0.307 1.693
0.235 0.328 1.672
0.223 0.347 1.653
14
15
0.212 0.363 1.637
0.203 0.378
16
17
1.622
18
0.194
0.391
1.609
19
0.187 0.404
1.596
20
0.180 0.415
1.585
0.173 0.425
0.167 0.435 1.565
21
1.575
22
23
0.162 0.443 1.557
24
0.157 0.452 1.548
25
0.153 0.459
1.541
Transcribed Image Text:Table of Control Chart Constants Table of Control Chart Constants Sample A2 D3 D4 Size 1.880 3.267 1.023 2.575 0.729 2.282 0.577 2.114 0.483 2.004 0.419 0.076 0.373 0.136 1.864 1.924 0.337 0.184 1.816 10 0.308 0.223 1.777 11 0.285 0.256 1.744 12 0.266 0.283 1.717 13 0.249 0.307 1.693 0.235 0.328 1.672 0.223 0.347 1.653 14 15 0.212 0.363 1.637 0.203 0.378 16 17 1.622 18 0.194 0.391 1.609 19 0.187 0.404 1.596 20 0.180 0.415 1.585 0.173 0.425 0.167 0.435 1.565 21 1.575 22 23 0.162 0.443 1.557 24 0.157 0.452 1.548 25 0.153 0.459 1.541
The sample mean and ranges tor 20 samples, each of sizen =9, from a manufacturing
process are provided below.
Sample Range
Mean
Sample Range
Mean
1.
1.120
21.707
11
0.999
19.869
2.
3.005
22.254
12
2.239
19.629
3.
2.657
22.792
13
2.095
22.525
3.165 20.702
2.832 22.936
4.
14
1.765
19.951
15
0.724
19.262
6.
1.374
21.881
16
0.731
19.791
1.060
19.408
17.
3.743
21.423
8
3.166
22.543
18
3.686
21.792
6.
2.836
22.828
19
2.754
20.186
10
3.791
21.141
20
1.682
19.059
Download CSV
Table of Control Chart Constants
Report answers accurate to 3 decimal places.
Do not round intermediate results.
a) The lower and upper control limits for the R-chart are:
LCL =
UCL =
Does it appear that the process range is out of control?
O No. There is no point outside the control limits.
O No. There is at least one point outside the control limits.
O Yes. There is at least one point outside the control limits.
O Yes. There is no point outside the control limits.
b) The lower and upper control limits for the -chart are:
LCL =
UCL =
Does it appear that the process mean is out of control?
O Yes. There is no point outside the control limits.
ONo. There is no point outside the control limits.
ONo. There is at least one point outside the control limits.
O Yes. There is at least one point outside the control limits.
Transcribed Image Text:The sample mean and ranges tor 20 samples, each of sizen =9, from a manufacturing process are provided below. Sample Range Mean Sample Range Mean 1. 1.120 21.707 11 0.999 19.869 2. 3.005 22.254 12 2.239 19.629 3. 2.657 22.792 13 2.095 22.525 3.165 20.702 2.832 22.936 4. 14 1.765 19.951 15 0.724 19.262 6. 1.374 21.881 16 0.731 19.791 1.060 19.408 17. 3.743 21.423 8 3.166 22.543 18 3.686 21.792 6. 2.836 22.828 19 2.754 20.186 10 3.791 21.141 20 1.682 19.059 Download CSV Table of Control Chart Constants Report answers accurate to 3 decimal places. Do not round intermediate results. a) The lower and upper control limits for the R-chart are: LCL = UCL = Does it appear that the process range is out of control? O No. There is no point outside the control limits. O No. There is at least one point outside the control limits. O Yes. There is at least one point outside the control limits. O Yes. There is no point outside the control limits. b) The lower and upper control limits for the -chart are: LCL = UCL = Does it appear that the process mean is out of control? O Yes. There is no point outside the control limits. ONo. There is no point outside the control limits. ONo. There is at least one point outside the control limits. O Yes. There is at least one point outside the control limits.
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