11. Consider a process which, when in control, has X = 500 and σ = 25. (a) Determine the X and R control chart limits if n = 4. (b) Determine the X and R control chart limits if n = 9. (c) Determine the X and R control chart limits if n = 2. (d) Suppose that a shift in process centering occurred from = 500 to 530. Which subgroup size above yields an X chart that is best capable of detecting the shift? Why? What is the major disadvantage of using that sample size?

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11. Consider a process which, when in control, has X = 500 and = 25.
(a) Determine the X and R control chart limits if n = 4.
(b) Determine the X and R control chart limits if n = 9.
(c) Determine the X and R control chart limits if n = 2.
(d) Suppose that a shift in process centering occurred from X = 500 to 530. Which
subgroup size above yields an X chart that is best capable of detecting the shift?
Why? What is the major disadvantage of using that sample size?
Transcribed Image Text:11. Consider a process which, when in control, has X = 500 and = 25. (a) Determine the X and R control chart limits if n = 4. (b) Determine the X and R control chart limits if n = 9. (c) Determine the X and R control chart limits if n = 2. (d) Suppose that a shift in process centering occurred from X = 500 to 530. Which subgroup size above yields an X chart that is best capable of detecting the shift? Why? What is the major disadvantage of using that sample size?
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