Economic Statistics Exam 2
Last name:
November 6, 2009
First name:
PID:
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This exam contains
ten
short answer questions (worth 6 points each) and
three
long answer questions (worth 15 points each).
Please answer in the space
provided; if you need more room, indicate clearly that the answer is continued
on the back of the page.
In all problems where you need to make a calculation,
simplify your answer as much as possible.
Show your work clearly to be eligible
for partial credit.
Some PDFs:
Some probabilities:
f
(
x
)
=
1
2
!"
2
e
#
(
X
#
μ
)
2
"
2
P
[
x
!
a
]
=
1
"
e
"
#
a
f
(
x
)
=
1
u
!
!
P
[
x
]
=
!
x
e
"
!
x
!
f
(
x
)
=
!
e
"
!
x
P
[
x
]
=
n
!
x
!(
n
!
x
)!
p
x
(1
!
p
)
n
!
x
1.
A random variable,
X
, has the following distribution:
X
~
N
(25,16)
. What is
P
[19
!
X
!
23]
?
2.
You collect a random sample of
n
=
16
people. The average value of
X
in your
sample is 91, and the standard deviation is 9. Construct a 90% confidence interval
for the population average.
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Econ 400 Midterm 2, page 2 of 6.
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 Spring '08
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 Normal Distribution, Standard Deviation

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