Upper Control Limit (UCLR) = inches (round your response to three decimal places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Lower Range,
Sample
Size, n
Mean Factor,
Upper Range,
DA
A2
D3
2
1.880
3.268
3
1.023
2.574
4
0.729
2.282
5
0.577
2.115
6
0.483
2.004
7
0.419
1.924
0.076
8
0.373
1.864
0.136
0.337
1.816
0.184
10
0.308
1.777
0.223
12
0.266
1.716
0.284
Transcribed Image Text:Lower Range, Sample Size, n Mean Factor, Upper Range, DA A2 D3 2 1.880 3.268 3 1.023 2.574 4 0.729 2.282 5 0.577 2.115 6 0.483 2.004 7 0.419 1.924 0.076 8 0.373 1.864 0.136 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284
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
R
Hour
R
Hour
Hour
R
1
3.25"
0.71"
7
3.05"
0.58"
13
3.21"
0.85"
19
3.31"
1.66"
3.20
1.18
8
2.65
1.13
14
2.93
1.31
20
2.79
1.09
3.12
1.38
9.
3.12
0.71
15
3.22
1.01
21
2.75
1.13
4
3.29
1.26
10
2.95
1.38
16
2.94
0.45
22
3.28
0.51
3.17
1.17
11
2.93
1.17
17
2.96
1.48
23
3.04
1.53
6.
2.86
0.42
12
2.97
0.35
18
2.64
1.34
24
2.54
1.02
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;) = 3.761 inches (round your response to three decimal places).
%3D
Lower Control Limit (LCL;) = 2.259 inches (round your response to three decimal places).
%3D
Based on the x-chart, the wire cutting process has been IN CONTROL
The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations):
Upper Control Limit (UCLR) =| inches (round your response to three decimal places).
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 R Hour R Hour Hour R 1 3.25" 0.71" 7 3.05" 0.58" 13 3.21" 0.85" 19 3.31" 1.66" 3.20 1.18 8 2.65 1.13 14 2.93 1.31 20 2.79 1.09 3.12 1.38 9. 3.12 0.71 15 3.22 1.01 21 2.75 1.13 4 3.29 1.26 10 2.95 1.38 16 2.94 0.45 22 3.28 0.51 3.17 1.17 11 2.93 1.17 17 2.96 1.48 23 3.04 1.53 6. 2.86 0.42 12 2.97 0.35 18 2.64 1.34 24 2.54 1.02 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;) = 3.761 inches (round your response to three decimal places). %3D Lower Control Limit (LCL;) = 2.259 inches (round your response to three decimal places). %3D Based on the x-chart, the wire cutting process has been IN CONTROL The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCLR) =| inches (round your response to three decimal places).
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