Question: Reconsider the data in Exercises 10.5 and 10.6. Suppose the process measurements are individual data values, not subgroup averages. In Exercise 10.5 (a) Use observations
Reconsider the data in Exercises 10.5 and 10.6. Suppose the process measurements are individual data values, not subgroup averages.
In Exercise 10.5
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(a) Use observations 1-20 in Exercise 10.5 to construct appropriate group control charts.
(b) Plot observations 21-30 from Exercise 10.6 the charts from part (a). Discuss your findings.
(c) Using observations 1-20, construct an individuals control chart using the average of the readings on all four heads as an individual measurement and an s control chart using the individual measurements on each head. Discuss how these charts function relative to the group control chart.
(d) Plot observations 21-30 on the control charts from part (c). Discuss your findings.
TABLE 10E. Data for Exercise 10.5 4 Head Sample I 2 Number-RRRR 1 53 2 54 56 2 55 3 2 51 1 55 2 54 4 54 4 3 54 2 525 53 3 57 2 4 55 3 54 3 52 1 51 5 5 54 1 50 2 512 53 I 6 53 2 51 154 2 52 2 7 51 1 53 2 58 5 54 1 8 52 2 544 51 2 55 2 9 50 2 52 3 52 53 10 51 1 55 1 53 3 53 5 11 52 3 57 2 52 4 551 12 51 55 54 2 58 2 13 54 4 58 2 51 1 53 I 14 53 1 54 4 503 54 2 15 55 2 52 3 54 2 52 6 16 54 451 1 53 2 58 5 17 53 3 50 2 57 1 53 1 18 52 1 49 1 52 1 49 2 19 5 2 53 3 5 2 50 3 20 52 4 52 2 50 3 52 2
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