August 2011
Intermediate to advanced
634 pages
21h 57m
English
Content preview from A First Course in Quality Engineering, 2nd Edition
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332 A First Course in Quality Engineering
UCL
LCL
= ±
−
( )
µ σ
λ
λ
K
2
If the value of K is taken as 3, for simplicity, we will have 3-sigma limits� In
the example above, for instance, the 3-sigma control limits for the second
sample, when i = 2, for the case when λ = 0�2, are given by:
UCL
CL
LCL
= +
(
)
−
− −
( )
=
=
= −
(
)
10 3 1
0 2
2 0 2
1 1 0 2 10 77
10
10 3 1
4
.
.
. .
00 2
2 0 2
1 1 0 2 9 23
4
.
.
. .
−
− −
( )
=
The control limits for the steady-state condition, in a case where λ = 0�2, are
given by:
UCL
CL
LCL
= +
(
)
−
=
=
= −
(
)
−
=
10 3 1
0 2
2 0 2
11 0
10
10 3 1
0 2
2 0 2
9 0
.
.
.
.
.
.
Montgomery (2001a) recommends the use of K between 2�6 and 2�8 for
λ ≤ 0�1� A practical ...
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