Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. 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 (UCL) = 61.437 lb. (round your response to three decimal places). Lower Control Limit (LCL) = 60.063 lb. (round your response to three decimal places). b) The control limits for the 3-sigma R-chart are: Upper Control Limit (UCLR) = lb. (round your response to three decimal places). Definition D3 Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, 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
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. 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 (UCL) = 61.437 lb. (round your response to three decimal places). Lower Control Limit (LCL) = 60.063 lb. (round your response to three decimal places). b) The control limits for the 3-sigma R-chart are: Upper Control Limit (UCLR) = lb. (round your response to three decimal places). Definition D3 Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, 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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 11P
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Question
Please help me solve part B.

Transcribed Image Text:Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem.
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 (UCL) = 61.437 lb. (round your response to three decimal places).
Lower Control Limit (LCL) = 60.063 lb. (round your response to three decimal places).
b) The control limits for the 3-sigma R-chart are:
Upper Control Limit (UCLR) = lb. (round your response to three decimal places).
Definition
D3
Sample
Size, n
Mean Factor,
A2
Upper Range,
D4
Lower Range,
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
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