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ISyE 2028A, Summer 2010
Friday June 25
Quiz 5 Solutions
1.
Which of the following statements are not true?
[2 points]
A.
A correct interpretation of a
100(1
)%
α
−
confidence interval for the mean
µ
relies on the
longrun frequency interpretation of probability.
B.
It is correct to write a statement such as
[ lies in the interval (70,80)]=.95
P
C.
The probability is .95 that the random interval
1.96
/
Xn
σ
±⋅
includes or covers the true
value of
.
D.
The interval
1.645
/
xn
is a 90% confidence interval for the mean
.
ANSWER:
B
2.
If one wants to develop a 90% confidence interval for the mean
of a normal population, when the
standard deviation
is known, the confidence level is
[2 points]
A.
.10
B.
.45
C.
.90
D.
1.645
ANSWER:
C
3.
If the width of a confidence interval for
is too wide when the population standard deviation
is
known, which one of the following is the best action to reduce the interval width?
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 Summer '07
 SHIM

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