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 = 54.75 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)= 55.437 lb. (round your response to three decimal places). Lower Control Limit (LCL) = Ib. (round your response to three decimal places).

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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 = 54.75 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) =
55.437 lb. (round your response to three decimal places).
Lower Control Limit (LCL-) = lb. (round your response to three decimal places).
Transcribed Image Text: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 = 54.75 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) = 55.437 lb. (round your response to three decimal places). Lower Control Limit (LCL-) = lb. (round your response to three decimal places).
Sample
Size, n
2
3
4
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 2 3 4 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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