Sample ​Size, n Mean​ Factor, A2 Upper​ Range, D4 Lower​ Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5 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   ​Thirty-five samples of size 7 each were taken from a​ fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results​ were: Overall mean​ = 60.75 ​lb.; Average range R ​= 1.64 lb.   ​a) For the given sample​ size, the control limits for ​3-sigma x chart ​are: Upper Control Limit ​(UCLx​) ​= 61.43761.437 lb. ​(round your response to three decimal​ places). Lower Control Limit ​(LCLx​) ​=? lb. ​(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
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Sample
​Size, n
Mean​ Factor,
A2
Upper​ Range,
D4
Lower​ Range,
D3
2
1.880
3.268
0
3
1.023
2.574
0
4
0.729
2.282
0
5
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
 
​Thirty-five samples of size
7
each were taken from a​ fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results​ were: Overall mean​ =
60.75
​lb.; Average range
R
​=
1.64
lb.
 
​a) For the given sample​ size,
the
control limits for ​3-sigma
x
chart ​are:
Upper Control Limit
​(UCLx​)
​=
61.43761.437
lb. ​(round your response to three decimal​ places).
Lower Control Limit
​(LCLx​)
​=?
lb. ​(round your response to three decimal​ places).
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