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IE 230
Seat # ________
Name _______________________
Closed book and notes. 120 minutes.
Cover page, five pages of exam.
No calculator. No need to simplify answers.
Recall: A true/false statement is true only if it is always true.
Score ___________________________
Final Exam, Spring 2011 (May 5)
Schmeiser
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Name _______________________
Closed book and notes. 120 minutes.
Consider an experiment that chooses a random sample
X
1
,
X
2
, . . . , X
n
from a population
with cdf
F
, mean E(
X
)
= μ
, variance V(
X
)
= σ
2
and median
x
0.5
=
F
−
1
(0.5). Let
X
d
denote
the sample mean,
S
2
=
[
Σ
i
=
1
n
(
X
i
−
X
d
)
2
]
/
(
n
−
1) denote the sample variance, and
X
(
i
)
the
i
th
order statistic.
1. True or false. (2 points each)
(a)
T
F
The standard error of a point estimator is its standard deviation.
(b)
T
F
A statistic is an event computed from a population.
(c)
T
F
A point estimator is a statistic that is used to estimate a population
parameter.
(d)
T
F
A sample is selected from a population.
(e)
T
F
X
(1)
≤
X
(
n
)
.
(f)
T
F
V(
X
)
=
E[(
X
− μ
X
)
2
].
(g)
T
F
X
d
=
E(
X
).
(h)
T
F
The sample size is
X
1
+
X
2
+
...
+
X
n
.
(i)
T
F
X
(1)
≤
E(
X
)
≤
X
(
n
)
.
(j)
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 Spring '08
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