Upper Control Limit (UCL) = 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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Question
Definition
Sample
Size, n
2
3
4
5
6
18992
10
Mean Factor,
A2
1.880
1.023
0.729
0.577
0.483
0.419
0.373
0.337
0.308
0.266
Print
Upper Range,
DA
3.268
2.574
2.282
2.115
2.004
924
1.864
1.816
1.777
1.716
Done
Lower Range,
D3
0
0
0
0.076
0.136
0.184
0.223
0.284
Transcribed Image Text:Definition Sample Size, n 2 3 4 5 6 18992 10 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Print Upper Range, DA 3.268 2.574 2.282 2.115 2.004 924 1.864 1.816 1.777 1.716 Done Lower Range, D3 0 0 0 0.076 0.136 0.184 0.223 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 X
1
2
3
4
5
6
R
3.25"
0.65"
3.00
1.23
3.32
1.43
3.39
1.26
3.07
1.17
2.96 0.37
Hour
X
R
Hour
R Hour
7 2.95" 0.48"
13
X
3.11" 0.90"
2.73 1.36
19
20
8
2.55
1.18
14
9
0.71
3.12 1.11
21
3.12
2.85
15
16
10
1.38
2.74 0.50
22
11
2.83 1.22
17 2.86 1.38 23
12 3.07 0.45 18 2.64 1.29 24
X
4.51"
2.89
2.65
3.18
3.04
2.54
R
1.56"
1.14
1.13
0.51
1.58
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) = 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 X 1 2 3 4 5 6 R 3.25" 0.65" 3.00 1.23 3.32 1.43 3.39 1.26 3.07 1.17 2.96 0.37 Hour X R Hour R Hour 7 2.95" 0.48" 13 X 3.11" 0.90" 2.73 1.36 19 20 8 2.55 1.18 14 9 0.71 3.12 1.11 21 3.12 2.85 15 16 10 1.38 2.74 0.50 22 11 2.83 1.22 17 2.86 1.38 23 12 3.07 0.45 18 2.64 1.29 24 X 4.51" 2.89 2.65 3.18 3.04 2.54 R 1.56" 1.14 1.13 0.51 1.58 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) = inches (round your response to three decimal places).
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