IE 230
Seat # ________
Name ___ < KEY > ___
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.
____________________________________________________________
...sign here.
..
Score ___ < ??? / 102 > ___
Final Exam, Fall 2010 (Dec 13)
Schmeiser
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Name ___ < KEY > ___
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.
(i)
T
F
←
A population is used to infer conclusions about a sample.
(j)
T
←
F
For a distribution with a symmetric pdf, the median and mean are
equal.
2. (3 points each) Fill in the blanks with course jargon (a word or phrase).
(a) The standard deviation of point estimator is its ___ < standard error > ___ .
(b) A random variable computed from a sample is a ___ < statistics > ___ .
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 Fall '08
 Xangi
 Standard Deviation, Variance, µ

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