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: 3.31" 2.79 R Hour X R Hour X R Hour X 0.76" 7 3.15" 0.48" 13 3.01" 0.90" 19 1.13 8 2.65 1.08 14 2.73 1.26 20 1.43 9 2.92 0.71 15 3.12 1.11 21 1.21 10 2.75 1.28 16 2.74 0.50 22 1.12 11 2.73 1.12 17 2.96 1.48 23 0.32 12 2.97 0.40 18 2.55 Hour 1 2 3 4 5 6 X 3.25" 3.00 3.22 3.49 R 1.56" 1.09 1.08 0.46 1.58 2.84 1.34 24 2.54 0.92 3.18 2.84 D 3.17 2.96 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)= 3.691 inches (round your response to three decimal places). Lower Control Limit (LCL) = 2.215 inches (round your response to three decimal places). 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).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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:
R
0.76"
1.13
1.43
1.21
1.12
0.32
Hour X
R Hour X
R Hour
7 3.15" 0.48" 13 3.01" 0.90" 19
8 2.65 1.08 14 2.73 1.26
20
9 2.92 0.71 15 3.12 1.11 21
10 2.75 1.28 16 2.74 0.50 22
2.73 1.12 17 2.96 1.48 23
2.97 0.40 18 2.84 1.34 24
11
12
Hour
1
2
3
4
5
6
X
3.25"
3.00
3.22
3.49
3.17
2.96
X
3.31"
2.79
2.55
3.18
2.84
2.54
R
1.56"
1.09
1.08
0.46
1.58
0.92
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) = 3.691 inches (round your response to three decimal places).
Lower Control Limit (LCLx) = 2.215 inches (round your response to three decimal places).
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: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: R 0.76" 1.13 1.43 1.21 1.12 0.32 Hour X R Hour X R Hour 7 3.15" 0.48" 13 3.01" 0.90" 19 8 2.65 1.08 14 2.73 1.26 20 9 2.92 0.71 15 3.12 1.11 21 10 2.75 1.28 16 2.74 0.50 22 2.73 1.12 17 2.96 1.48 23 2.97 0.40 18 2.84 1.34 24 11 12 Hour 1 2 3 4 5 6 X 3.25" 3.00 3.22 3.49 3.17 2.96 X 3.31" 2.79 2.55 3.18 2.84 2.54 R 1.56" 1.09 1.08 0.46 1.58 0.92 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) = 3.691 inches (round your response to three decimal places). Lower Control Limit (LCLx) = 2.215 inches (round your response to three decimal places). 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).
Sample
Size, n
234
5
6
7
8
9
10 12
Mean Factor,
A₂
1.880
1.023
0.729
0.577
0.483
0.419
0.373
0.337
0.308
0.266
Upper Range,
D4
3.268
2.574
2.282
2.115
2.004
1.924
1.864
1.816
1.777
1.716
Lower Range,
D3
0
0
0
0
0
0.076
0.136
0.184
0.223
0.284
Transcribed Image Text:Sample Size, n 234 5 6 7 8 9 10 12 Mean Factor, A₂ 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Lower Range, D3 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284
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