The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=53.6253.62 units (round your response to two decimal places). b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=? units (round your response to two decimal places).
The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=53.6253.62 units (round your response to two decimal places). b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=? units (round your response to two decimal places).
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Question
1. The overall average on a process you are attempting to monitor is
Sample size is given to be
55.0
units. The process population standard deviation is
1.84.
16.
a) Determine the 3-sigma
x-chart
control limits.Upper Control Limit
(UCLx)=56.3856.38
units (round your response to two decimal places).Lower Control Limit
(LCLx)=53.6253.62
units (round your response to two decimal places).b) Now determine the 2-sigma
x-chart
control limits.Upper Control Limit
(UCLx)=?
units (round your response to two decimal places).2.
|
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
lb. (round your response to three decimal places).
(LCLx)
=?lb. (round your response to three decimal places).
3.
|
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
|
Ross Hopkins is attempting to monitor a filling process that has an overall average of
725
mL.
The average range
R
is
6
mL.
For a sample size of
10,
the
control limits for 3-sigma
x
chart are:Upper Control Limit
(UCLx)
=
726.828726.828
mL
(round your response to three decimal places).Lower Control Limit
(LCLx)
=?
mL
(round your response to three decimal places).Expert Solution
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