We are monitoring the random variable X with an EWMA chart. How many samples would be required to make the error of approximating (i.e., percent error) the upper control limit as constant be less than 0.01% for 2 = 0.05, 0.1, 0.15,0.2, and 0.25? X-N(0, 12) E = (1– 2)E,-1 + dx; E, = H UCL, = u+ ko [1-(1-1)2] (2-A)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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We are monitoring the random variable X with an EWMA chart. How many samples would be
required to make the error of approximating (i.e., percent error) the upper control limit as
constant be less than 0.01% for 2 = 0.05, 0.1, 0.15,0.2, and 0.25?
X~N(0,12)
E, = (1– 2)E,-1 + ax;
E, = H
UCL, = u + ko
[1- (1– 2)24]
(2-A)
UCL. = H + ko
(2 – 2)
k = 3
Transcribed Image Text:We are monitoring the random variable X with an EWMA chart. How many samples would be required to make the error of approximating (i.e., percent error) the upper control limit as constant be less than 0.01% for 2 = 0.05, 0.1, 0.15,0.2, and 0.25? X~N(0,12) E, = (1– 2)E,-1 + ax; E, = H UCL, = u + ko [1- (1– 2)24] (2-A) UCL. = H + ko (2 – 2) k = 3
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