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Statistics
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Probability and Statistics
Quiz 16: Quality Control Methods
Path 4
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Question 21
Essay
If Y is a Poisson random variable with parameter
θ
\theta
θ
then E(Y) = __________, V(Y) = __________, and also has approximately a __________ distribution when
θ
\theta
θ
is large
(
θ
≥
10
will suffice for most purposes)
\text { ( } \theta \geq 10 \text { will suffice for most purposes) }
(
θ
≥
10
will suffice for most purposes)
Question 22
Short Answer
One important characteristic of a sampling plan with rectifying inspection is the __________, denoted by AOQ.
Question 23
Short Answer
The average outgoing quality equals 0 when the proportion of defective items in the lot, p, is either __________ or __________.
Question 24
Multiple Choice
Which of the following are not examples of assignable causes of variation?
Question 25
Short Answer
The __________ is a chart developed by Kenneth Kemp that can be used to determine values of h and n that achieves a specified ARL (average run length).
Question 26
Short Answer
There are two equivalent versions of a cumulative sum procedure for a process mean, one __________ and the __________.
Question 27
Short Answer
Let p denote the proportion of defective items in the lot, and P(A) denote the probability that the lot is accepted. Let us designate two different values of p, one for which P(A) is a specified value close to 1 and the other for which P(A) is a specified value near 0. These tow values of
p
−
say
p
1
and
p
2
−
p - \operatorname { say } p _ { 1 } \text { and } p _ { 2 } -
p
−
say
p
1
and
p
2
−
are often called the __________, denoted AQL, and the __________, denoted by LTPD.
Question 28
Short Answer
In a double-sampling plan, it is customary to terminate inspection of the second sample if the number of defectives is sufficient to justify rejection before all items have been examined. This is referred to as __________ in the second sample.
Question 29
Short Answer
If the size of a shift in a process mean
μ
\mu
μ
is .40, then the customarily value of the slope of the lower arm of the V-mask is __________.
Question 30
Multiple Choice
Which of the following statements are not true?
Question 31
Short Answer
Under curtailment in a double-sampling plan, it can be shown that the expected number of items inspected in a __________ is smaller than the number of items examined in a __________ when the operating characteristic (OC) curves of the two plans are close to be identical.
Question 32
Short Answer
At time r, a process is judged out of control if any of the cumulative sum plotted values
(
1
,
S
1
)
,
(
2
,
S
2
)
,
…
…
,
(
y
,
S
r
)
\left( 1 , S _ { 1 } \right) , \left( 2 , S _ { 2 } \right) , \ldots \ldots , \left(y , S _ { \mathrm { r } } \right)
(
1
,
S
1
)
,
(
2
,
S
2
)
,
……
,
(
y
,
S
r
)
lies outside the __________; either above the upper arm or below the lower arm.
Question 33
Short Answer
The 3-sigma control limits of the p chart for the fraction of defective items in a process believed to be in control are LCL = .0125 and UCL = .1425. If the smallest and largest values of
p
^
,
\hat { p } ,
p
^
,
the fraction of defective items, are .0062 and .1685 respectively, then the process is __________.
Question 34
Multiple Choice
Which of the following statements are true?
Question 35
Short Answer
The use of 3-sigma control limits is presumed to result in P(statistic <LCL
≈
\approx
≈
__________, when the process is in control.
Question 36
Short Answer
The p control chart for the fraction of defective items produced is based on the __________ probability distribution.
Question 37
Short Answer
The behavior of a sampling plan can be nicely summarized by graphing P(A); the probability that the lot is accepted, as a function of p; the proportion of defective items in the lot. Such a graph is called the __________ for the plan.