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 1 2 3 4 5 6 X R Hour X R Hour X R 3.25" 0.76" 7 2.95" 0.48" 13 3.11" 0.80" 3.00 1.23 8 2.75 1.13 14 2.73 1.36 3.22 1.43 9 2.92 0.76 15 3.12 1.01 3.29 1.26 10 2.85 1.38 16 2.84 0.50 3.07 1.12 11 2.73 1.22 17 2.76 1.43 23 2.96 0.37 12 2.97 0.35 18 2.74 1.24 24 R 1.56" Hour X 19 3.31" 20 2.99 1.09 21 2.55 1.13 22 3.28 0.41 2.94 1.63 2.74 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).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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CAN SOMEONE PLEASE EXPLAIN HOW TO CALCULATE THE UPPER/LOWER LIMITS USING EXCEL? THANK YOU!! 

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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:
X
R
3.25" 0.76"
Hour
7
3.00 1.23 8
3.22 1.43 9
3.29 1.26 10
3.07 1.12 11
2.96 0.37 12
Hour
1
2
3
4
5
6
R Hour Xx
Upper Control Limit (UCL) - inches (round your response to three decimal places).
=
X
2.95" 0.48"
2.75 1.13
2.92 0.76
2.85
2.73
1.38
2.97
1.22
0.35
131415167 18
R
3.11" 0.80"
2.73 1.36 20
3.12 1.01
2.84 0.50
2.76 1.43
2.74 1.24
Hour
227221
19
23
24
X
R
3.31" 1.56"
2.99
1.09
2.55
1.13
3.28 0.41
2.94
2.74
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):
1.63
0.97
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: X R 3.25" 0.76" Hour 7 3.00 1.23 8 3.22 1.43 9 3.29 1.26 10 3.07 1.12 11 2.96 0.37 12 Hour 1 2 3 4 5 6 R Hour Xx Upper Control Limit (UCL) - inches (round your response to three decimal places). = X 2.95" 0.48" 2.75 1.13 2.92 0.76 2.85 2.73 1.38 2.97 1.22 0.35 131415167 18 R 3.11" 0.80" 2.73 1.36 20 3.12 1.01 2.84 0.50 2.76 1.43 2.74 1.24 Hour 227221 19 23 24 X R 3.31" 1.56" 2.99 1.09 2.55 1.13 3.28 0.41 2.94 2.74 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): 1.63 0.97
Sample
Size, n
2
SS WN
3
4
56
7
80912
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 2 SS WN 3 4 56 7 80912 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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