INEN314 Homework #8
(Due 11/09)
1. [8 pts]
Given the incontrol mean
µ
0
and the process standard deviation
σ
(i.e., the standard deviation of
individual observations), determine the UCL and LCL for an xbar chart with the type I error of 0.001 and
sample size of 4.
Assume that a mean shift is 1.5
σ
, what is the type II error under this mean shift?
2. [8 pts]
Two decision rules are given here.
Assume that they apply to a normally distributed quality
characteristic, the control chart has threesigma control limits, and the sample size is
n
= 5.
Rule 1
: if
one or more
of the next seven samples yield values of the sample average that fall outside the
control limits, conclude that the process is out of control.
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 Spring '10
 M
 Standard Deviation, pts, process standard deviation, mean shift, normally distributed quality

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