Assume that a variable quality characteristic X follows a normal distribution. The current control charts used to monitor the behavior of this quality characteristic is the (X, RM) charts (also known as individual and moving-range charts) with a moving window of size 2. Their center lines for the two charts are X Chart Centerline = 10 RM Chart Centerline = 2.256 • Part (a): What is the value of sigma o? • Part (b): What is the upper control limit of the X chart? • Part (c): What should the CUSUM control limits be if k = 0.5 and h = 5? %D

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Assume that a variable quality characteristic X
follows a normal
distribution. The current control charts used to
monitor the behavior of this quality characteristic
is the (X, RM) charts (also known as individual and
moving-range charts) with a moving window
of size 2. Their center lines for the two charts are
X Chart Centerline = 10
RM Chart Centerline = 2.256
• Part (a): What is the value of sigma o?
• Part (b): What is the upper control limit of the X
chart?
• Part (c): What should the CUSUM control limits be
if k = 0.5 and h = 5?
Transcribed Image Text:Assume that a variable quality characteristic X follows a normal distribution. The current control charts used to monitor the behavior of this quality characteristic is the (X, RM) charts (also known as individual and moving-range charts) with a moving window of size 2. Their center lines for the two charts are X Chart Centerline = 10 RM Chart Centerline = 2.256 • Part (a): What is the value of sigma o? • Part (b): What is the upper control limit of the X chart? • Part (c): What should the CUSUM control limits be if k = 0.5 and h = 5?
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