SPC HW Solutions
1.
(21.2)
Centerline
= 
= 181.1
Lower
control limit = 
- 
= 181.1 - 3
= 170.1
Upper
control limit = 
+ 
= 181.1 + 3
= 192.1
-------------------
192.10
A
-------------------188.43
B
-------------------184.77
C
-------------------
181.10
C
-------------------177.73
B
-------------------173.77
A
-------------------170.10
2.
(21.3)
a Centerline = 
= 13.3
Lower
control limit = 
- 
= 13.3 - 3
= 7.6
Upper
control limit = 
+ 
= 13.3 + 3
= 19.0
c
The process is out of control at points 8, 9, 21, 22, and 25.
3.
(21.4)
a Excel
Printout
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Statistical Process Control |
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Upper control limit = 10.0885 |
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Centerline = 4.452 |
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Lower control limit = 0 |
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Statistical Process Control |
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Upper control limit = 19.9668 |
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Centerline = 12.7386 |
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Lower control limit = 5.5103 |
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Pattern Test #2 Failed at Points: 29 |
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Pattern Test #6 Failed at Points: 29, 30 |
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c The process is out
of control at samples 29 and 30.
d A
level shift occurred.
4.
(21.5)
a Excel
Printouts
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Statistical Process Control |
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Upper control limit = 0.1851 |
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Centerline = 0.0721 |
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Lower control limit = 0 |
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Statistical Process Control |
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Upper control limit = 96.0635 |
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Centerline = 95.9231 |
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Lower control limit = 95.7827 |
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Pattern Test #1 Failed at Points: 1, 4, 5, 28, 35, 36, 37, 39, 40 |
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Pattern Test #5 Failed at Points: 3, 4, 5, 6, 9, 10, 35, 36, 37, 38, 39, 40 |
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Pattern Test #6 Failed at Points: 5, 6, 7, 8, 9, 35, 36, 37, 38, 39, 40 |
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b The process is out
of control at the first sample.
c Clean out the sawdust more frequently.
b The process is out
of control at sample 19.
c
The width became too small.
5.
(21.12)
a Centerline = 
= 11.68
Lower
control limit = 
= 0(11.68) = 0
Upper
control limit = 
= 2.282(11.68) = 26.65
b
Centerline = 
= 18.76
Lower
control limit = 
- 
= 18.76 - .729(11.68) = 10.25
Upper
control limit = 
+
= 18.76 + .729(11.68) = 27.27
c
The process is out of control at sample 13 (
chart).
6.
(21.15)
a Excel
Printout
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Statistical Process Control |
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Upper control limit = 0.3497 |
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Centerline = 0.1358 |
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Lower control limit = 0 |
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Statistical Process Control |
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Upper control limit = 96.062 |
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Centerline = 95.9231 |
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Lower control limit = 95.7841 |
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Pattern Test #1 Failed at Points: 1, 4, 5, 28, 35, 36, 37, 39, 40 |
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Pattern Test #5 Failed at Points: 3, 4, 5, 6, 7, 8, 9, 10, 35, 36, 37, 38,
39, 40 |
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Pattern Test #6 Failed at Points: 5, 6, 7, 8, 9, 35, 36, 37, 38, 39, 40 |
b The process is out
of control at sample 1.
c
Clean out the sawdust more frequently.
7.
(21.20)
Centerline
= 
= .0324
Lower
control limit = 
- 
= .0324 - 
= -.0052 (= 0)
Upper
control limit = 
+ 
= .0324 + 
= .0700
Excel Printout
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Statistical Process Control |
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Upper control limit = 0.07 |
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Centerline = 0.0324 |
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Lower control limit = 0 |
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Pattern Test #1 Failed at Points: 25 |
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The process is out of
control at sample 25.
8.
(21.23)
Centerline
= 
= .0169
Lower
control limit = 
- 
= .0169 - 
= .0047
Upper
control limit = 
+ 
= .0169 + 
= .0291
Excel Printout
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Statistical Process Control |
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Upper control limit = 0.0291 |
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Centerline = 0.0169 |
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Lower control limit = 0.0047 |
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Pattern Test #2 Failed at Points: 37 |
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The process is out of
control at samples 37-40.
9.
(21.30)
Excel Printout
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Statistical Process Control |
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Upper control limit = 0.0275 |
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Centerline = 0.0126 |
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Lower control limit = 0 |
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Pattern Test #1 Failed at Points: 24 |
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The process is out of
control at sample 24.
10.
(21.31)
Excel Printout
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Statistical Process Control |
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Upper control limit = 40.592 |
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Centerline = 17.9131 |
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Lower control limit = 0 |
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Statistical Process Control |
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Upper control limit = 114.1052 |
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Centerline = 85.0217 |
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Lower control limit = 55.9381 |
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Pattern Test #1 Failed at Points: 25 |
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Pattern Test #5 Failed at Points: 30 |
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Pattern Test #6 Failed at Points: 29, 30 |
The process is out of
control at sample 25.