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Quiz
Quiz 1: Avg 18/20
SD: 2.57
Quiz 2: Avg 16.5/20
SD: 4.19
If we spend some effort and do project, we get 20/20
Final:
2 question on Regression
2 question on Quality Control
Quality Control Continued
In control:
μic
σic2
Out of control:
μoc
σoc2
=
+
>
μic δ
δ 0


Control Chart SAmple average xbar chart
sample size k
xbarm
In control:
μic
σic2k
Out of control:
μoc
σoc2k
UCL: upper control limit
β
α
Accept that process
μic
μic
accept that
process
Is in control
σic2k
σoc2k
is out
of control
Xbar_m
=
=
>

→
=

α Pfalse alarm PZ UCL uicσick zα UCL uicσick
=
=
>

→
=

β Pmissing an excursion PZ μoc UCLσock zβ μoc UCLσock
This is if someone specifies upper limit and k.
We can input a required alpha or beta. AND we can have an input of Cost for false alarm/missing
excursion and the question can ask us what the sample size / UCL is.
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View Full Document Problem 1: minimize sample size k so that:
alpha (ULC,k)
≤
α0

≥
UCL μicσick
zα0
and
, ≤
→

≥
βULC k β0
μoc UCLσock zβ0
Add together:
*

≥
+
k μoc μic zα0σic zβ0σoc
≥
+

k zα0σic zβ0σocμoc μic
IMPORTANT FINAL EXAM QUESTION!
ON THE SPRING 2008 EXAM: If we compute all this, then we get
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This note was uploaded on 07/22/2009 for the course IEOR 165 taught by Professor Shanthikumar during the Summer '08 term at University of California, Berkeley.
 Summer '08
 SHANTHIKUMAR

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