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ISyE 2028A, Summer 2010
Friday June 18
Quiz 4 Solutions
1.
Let
1
,,
n
XX
be a random sample from a population having a mean
µ
and standard deviation
σ
.
Provided that
n
is large, the Central Limit Theorem (CLT) implies that
X
is __________ distributed.
[2 points]
ANSWER: (
approximately) normally
2.
When
X
is the mean of a random sample of size
n
(
n
is small) from a normal population with mean
, the random variable
(
)/( /
)
T X
Sn
=
−
has a probability distribution called
t
distribution with
__________.
[2 points]
ANSWER:
n1 degrees of freedom
3.
Let
t
ν
denote the density function curve for a
t
distribution with
degrees of freedom.
As
increases, the tdistribution converges to __________ (what distribution?).
[2 points]
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This note was uploaded on 09/02/2010 for the course ISYE 2028 taught by Professor Shim during the Summer '07 term at Georgia Institute of Technology.
 Summer '07
 SHIM

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