College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
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[画像: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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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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