Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour R Hour x R Hour x R 1 3.15" 0.71" 7 3.15" 0.53" 13 3.11" 0.80" 19 3.31" 1.56" 2 3.10 1.13 8 2.75 1.13 14 2.93 1.36 20 2.99 1.14 3 3.22 1.48 9 3.12 0.71 15 3.02 1.06 21 2.75 1.08 4 3.39 1.21 10 2.95 5 3.17 1.12 11 2.93 6 2.96 0.32 12 3.07 1.33 16 1.22 17 2.76 0.35 18 2.74 1.29 2.74 0.45 22 3.28 0.46 1.38 23 2.84 1.58 24 2.64 0.97 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCL) = inches (round your response to three decimal places). Definition Sample Size, n Mean Factor, Upper Range, A2 D4 2 1.880 3.268 Lower Range, D3 0 3 1.023 2.574 0 4 0.729 2.282 0 10 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 Print Done -
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour R Hour x R Hour x R 1 3.15" 0.71" 7 3.15" 0.53" 13 3.11" 0.80" 19 3.31" 1.56" 2 3.10 1.13 8 2.75 1.13 14 2.93 1.36 20 2.99 1.14 3 3.22 1.48 9 3.12 0.71 15 3.02 1.06 21 2.75 1.08 4 3.39 1.21 10 2.95 5 3.17 1.12 11 2.93 6 2.96 0.32 12 3.07 1.33 16 1.22 17 2.76 0.35 18 2.74 1.29 2.74 0.45 22 3.28 0.46 1.38 23 2.84 1.58 24 2.64 0.97 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCL) = inches (round your response to three decimal places). Definition Sample Size, n Mean Factor, Upper Range, A2 D4 2 1.880 3.268 Lower Range, D3 0 3 1.023 2.574 0 4 0.729 2.282 0 10 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 Print Done -
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 11P
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Transcribed Image Text:Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem.
Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results:
Hour
x
R
Hour
R Hour
x
R
Hour
x
R
1
3.15"
0.71"
7
3.15" 0.53"
13
3.11" 0.80" 19
3.31"
1.56"
2
3.10
1.13
8
2.75
1.13
14
2.93 1.36
20
2.99
1.14
3
3.22
1.48
9
3.12
0.71 15
3.02
1.06
21
2.75
1.08
4
3.39
1.21
10
2.95
5
3.17
1.12
11
2.93
6
2.96
0.32
12
3.07
1.33 16
1.22 17 2.76
0.35 18 2.74 1.29
2.74
0.45
22
3.28
0.46
1.38
23
2.84
1.58
24
2.64
0.97
Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations):
Upper Control Limit (UCL) = inches (round your response to three decimal places).

Transcribed Image Text:Definition
Sample
Size, n
Mean Factor,
Upper Range,
A2
D4
2
1.880
3.268
Lower Range,
D3
0
3
1.023
2.574
0
4
0.729
2.282
0
10
0.577
2.115
0
6
0.483
2.004
0
7
0.419
1.924
0.076
8
0.373
1.864
0.136
9
0.337
1.816
0.184
10
0.308
1.777
0.223
12
0.266
1.716
0.284
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