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# Homework 4 - IE330 HW#4 Consecutive sampling reduces the...

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IE330, HW#4 Consecutive sampling reduces the opportunity for the occurrence of special causes within the subgroup because the amount of process evolving over the time of subgroup- collection is reduced. Moreover, it can capture the abrupt mean shifts more properly.

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6.14. (i) The process is under (8) common cause system. (ii) Points 15 and 16 are endpoints in runs where 14 or more points oscillate. The process behavior is some type of systematic, (g) mixing/overcontrol. (iii) Point 5: out of control limit, 4 out of 5 in zone B or beyond
Point 6: 4 out of 5 in zone B or beyond, 2 out of 3 in zone A or beyond The process is under (a) upward shift in mean. (iv) in control (h) (v) The process shows run in zone C which is due to improper sampling (f) or a decrease in process variability. (vi) A linear increase in the points is because of a gradual shift in mean (e). 6.16. Sample X1 X2 X3 X4 X5 Average Max Min Range 1 48 59 42 40 32 44.2 59 32 27 2 48 52 51 50 52 50.6 52 48 4 3 50 49 60 44 48 50.2 60 44 16 4 50 41 48 43 41 44.6 50 41 9 5 51 49 60 60 47 53.4 60 47 13 6 44 47 54 45 50 48 54 44 10 7 51 57 53

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Homework 4 - IE330 HW#4 Consecutive sampling reduces the...

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