Since the implementation of an SPC program in the foundry department in January 1990, the engineers had made one change in the foundry operations, which appear to have resulted in a 4% reduction in the scrap rate from the 1989 average rate of 28% (the standard deviation was 2%) The table summarizes the weekly scrap rate data for the first half of 1990. i123456789 10 11 12 13 X 26.4 25.3 31.8 27.1 28.5 20.2 19.3 22.7 20.4 19.5 21.7 24 22.6 (a) Construct a CUSUM chart to analyze the data and verify the engineer's claim regarding the scrap reduction. Please use h = 5 and k = 0.25. and K=ko=0.25*2=0.5, H=ho=5*2=10. A table like this may help with your calculation: i - X₁ X₁(HK) | C† N+ (μo-K) - X₁ Ci NIC or OC? 1 2 13 (b) What is the starting point that an out-of-control sample appears? (c) What is the magnitude of the mean shift?
Since the implementation of an SPC program in the foundry department in January 1990, the engineers had made one change in the foundry operations, which appear to have resulted in a 4% reduction in the scrap rate from the 1989 average rate of 28% (the standard deviation was 2%) The table summarizes the weekly scrap rate data for the first half of 1990. i123456789 10 11 12 13 X 26.4 25.3 31.8 27.1 28.5 20.2 19.3 22.7 20.4 19.5 21.7 24 22.6 (a) Construct a CUSUM chart to analyze the data and verify the engineer's claim regarding the scrap reduction. Please use h = 5 and k = 0.25. and K=ko=0.25*2=0.5, H=ho=5*2=10. A table like this may help with your calculation: i - X₁ X₁(HK) | C† N+ (μo-K) - X₁ Ci NIC or OC? 1 2 13 (b) What is the starting point that an out-of-control sample appears? (c) What is the magnitude of the mean shift?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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Transcribed Image Text:Since the implementation of an SPC program in the foundry department in January 1990, the
engineers had made one change in the foundry operations, which appear to have resulted in a
4% reduction in the scrap rate from the 1989 average rate of 28% (the standard deviation was
2%)
The table summarizes the weekly scrap rate data for the first half of 1990.
i123456789 10 11 12 13
X 26.4 25.3 31.8 27.1 28.5 20.2 19.3 22.7 20.4 19.5 21.7 24 22.6
(a) Construct a CUSUM chart to analyze the data and verify the engineer's claim
regarding the scrap reduction. Please use h = 5 and k = 0.25. and
K=ko=0.25*2=0.5, H=ho=5*2=10.
A table like this may help with your calculation:
i
-
X₁ X₁(HK) | C†
N+
(μo-K) - X₁
Ci
NIC or OC?
1
2
13
(b) What is the starting point that an out-of-control sample appears?
(c) What is the magnitude of the mean shift?
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