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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.
(2 points) I have, or will, complete a course evaluation.
____________________________________________________________
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Score ___________________________
Final Exam, Fall 2010 (Dec 13)
Schmeiser
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Name _______________________
Closed book and notes. 120 minutes.
Throughout this exam, 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
A random sample contains independent observations.
(b)
T
F
A random sample contains identically distributed observations.
(c)
T
F
The abbreviation "iid" means independent and identically distributed.
(d)
T
F
A point estimate is a random variable; a point estimator is a number.
(e)
T
F
Independent observations are always identically distributed.
(f)
T
F
Identically distributed observations are always independent.
(g)
T
F
Independent observations can be mutually exclusive.
(h)
T
F
A linear combination of random variables is a random variable.
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 Fall '08
 Xangi

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