(a) Construct a CUSUM chart to analyze the data for the purpose of verifying the engineer's claim regarding the scrap reduction. (h=5 and k=0.25). (b) When is process last in control? (c) What is the magnitude of the mean shift?

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Chapter1: Combinatorial Analysis
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"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 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.
i
1
2
3
4
5
6
7
8
9
10
11
12
13
Xi
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
Construct a CUSUM chart to analyze the data for the purpose of verifying the engineer's
claim regarding the scrap reduction. (h=5 and k =0.25).
(b)
When is process last in control?
(c)
What is the magnitude of the mean shift?
(a)
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 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. i 1 2 3 4 5 6 7 8 9 10 11 12 13 Xi 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 Construct a CUSUM chart to analyze the data for the purpose of verifying the engineer's claim regarding the scrap reduction. (h=5 and k =0.25). (b) When is process last in control? (c) What is the magnitude of the mean shift? (a)
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