6.28. Control charts for I and R are maintained on a process. After 20 preliminary subgroups each of size 3 are evaluated, you have the following data: 20 20 Σ1502 ΣR =60 i=l i=1 (a) Set up the control charts using these data. (b) Assume that the process exhibits statistical con- trol. Estimate the process mean and standard deviation. (c) Suppose that the quality characteristic is nor- mally distributed with specifications at 275 ± 6. Estimate the fraction nonconforming produced by this process. (d) How much reduction in process variability would be required to make this a Six Sigma process?

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6.28. Control charts for I and R are maintained on a
process. After 20 preliminary subgroups each of size
3 are evaluated, you have the following data:
20
20
Σ1502 ΣR =60
i=l
i=1
(a) Set up the control charts using these data.
(b) Assume that the process exhibits statistical con-
trol. Estimate the process mean and standard
deviation.
(c) Suppose that the quality characteristic is nor-
mally distributed with specifications at 275 ± 6.
Estimate the fraction nonconforming produced
by this process.
(d) How much reduction in process variability would
be required to make this a Six Sigma process?
Transcribed Image Text:6.28. Control charts for I and R are maintained on a process. After 20 preliminary subgroups each of size 3 are evaluated, you have the following data: 20 20 Σ1502 ΣR =60 i=l i=1 (a) Set up the control charts using these data. (b) Assume that the process exhibits statistical con- trol. Estimate the process mean and standard deviation. (c) Suppose that the quality characteristic is nor- mally distributed with specifications at 275 ± 6. Estimate the fraction nonconforming produced by this process. (d) How much reduction in process variability would be required to make this a Six Sigma process?
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