Homework 2
Econ 3400
Name: _
In order to receive full credit, you have to show all your work. Feel free to use the binomial
and normal distribution tables posted on Carmen.
1. TABLE 54
The following table contains the probability distribution for X = the
1.
Study Guide Midterm 2
If the appropriate discount rate for the following cash flows is 11.7 percent per year, what is the present value of the
cash flows?
A. $71,407.19
B. $74,221.80
C. $
78,270.77
D. $
80,407.16
E. $81,121.03
= 0.05
TA B L E E . 5
Critical Values of F
0
For a particular combination of numerator and denominator degrees of freedom, entry represents the critical values
of F corresponding to the cumulative probability (1  a) and a specified uppertail area (a).
Question 1. Use the following data to answer this question.
Gende
r
male
Absenc
e
0
female
2
male
0
male
1
female
0
male
0
male
1
male
3
female
male
2
1
female
0
male
0
Level
Junior
Senio
r
Senio
r
Senio
r
Senio
r
Senio
r
Senio
r
Senio
r
Senio
r
Junior
Se
Economics 3400
Testing the Mean of a Population
Jon Michel
Motivation
We suppose that there is some population and want to test if
the true population mean for some given characteristic is equal
to some given value.
eg.)
The population is all OSU students
Economics 3400
Conditional Probability
Jon Michel
Introduction
This class we will revist conditional probability. This is worth
revisiting since many, natural, probabilistic and statistical
questions come in the form of a conditional statement.
Definition
The Ohio State University
Economics 4002.01
Intermediate Macroeconomic Theory
Spring Semester 2017
Instructor: Jeff Buser
Class Time: TuTh 3:555:15pm
Email address: [email protected]
Class Room: 180 Hagerty Hall
Office: 317 Arps Hall
Office Phone: 614292
IS3400 MW 1110
Assignment 4
Fall 16
DUE Wednesday Nov. 9, 2016
Name_
ASSIGNMENT MUST BE DONE USING MICROSOFT WORD AND/OR
MICROSOFT EQUATION EDITOR AND THEN PRINTED , STAPLED AND
HANDED IN DURING CLASS ON THE SPECIFIED DATE. EMAILED
ASSIGNMENTS WILL NOT BE
Midterm2 Questions:
Question 1
Consider a population that has a triangularshape distribution with mean of 0.3 and standard deviation of 1. We take
a sample of size 100 from this population, and find that sample mean is equal to 0.15, and sample standard
The Ohio State University
ECON 3400
Dr. Leila Farivar
Final Exam
Due: No later than Wednesday 4/29/2015 at 11:59PM
Submit your completed exam on the Carmen dropbox before the above deadline. You must submit 2 files onto the
dropbox: (1) a Word or PDF file
Chapter 10 Class Exercise
1. Three experts rated two brands of Colombian coffee in a tastetesting experiment. A rating on
a 7point scale (1 = extremely unpleasing, 7 = extremely pleasing) is given for each of four
characteristics: taste, aroma, richness
Quiz 1
Econ 3400
Autumn 2015
For questions 13 select the most appropriate answer.
1) A summary measure that is computed to describe a characteristic from only a sample of the
population is called
A) a parameter.
B) a census.
C) a statistic.
D) the scient
Formulas
probabilit y of occurence
X
number of ways the event can occur
T
total number of elementaryoutcomes
N
E(X) xi P( X xi )
i
1
N
2 [x i E(X)]2 P(X x i )
i
1
Z
X
X
Z
n
(X X )
X
(X )
n
Confidence Interval = Point Estimate (Critical Value)(Standar
Formulas
n
(X
S2 i 1
S
CV
X
Z
i
X) 2
n 1
100%
X X
S
Q1 position = (n+1)/4, Q2 position = 2(n+1)/4, Q3 position = 3(n+1)/4
n
cov ( X , Y )
r
(X
i
X )(Yi Y )
i
1
n 1
cov (X , Y)
S X SY
P(A or B) = P(A) + P(B)  P(A and B)
P(A and B) P(A  B) P(B)
P
Homework 1
Econ 3400
Autumn 2015
Name: _
i
1
2
3
4
X
3
4
2
8
Y
7
7
1
3
1. (12 points) Based on the above table, compute the following:
4
a.
Xi
i=1
4
b.
Yi
i=1
4
c.
X2
i
i=1
4
d.
Y2
i
i=1
4
e.
X iY i
i=1
4
f.
4
X Y2
i
i=1
2
i
i=1
2. (4 points) A manufa
548
APPENDICES
TA B L E E . 3
Critical Values of t
For a particular number of degrees of freedom, entry represents
the critical value of t corresponding to the cumulative probability
11  a2 and a specified uppertail area 1a2.
0
t
Cumulative Probabilitie
546
APPENDICES
TA B L E E . 2
The Cumulative Standardized Normal Distribution
Entry represents area under the cumulative standardized
normal distribution from  q to Z
Z
0
Cumulative Probabilities
Z
6.0
5.5
5.0
4.5
4.0
3.9
3.8
3.7
3.6
3.5
3.4

The central limit theorem says the following:
If X1 , ., Xn are independent random variables with the same distribution (so
outcomes/probabilities if discrete or CDF in general) then the following is
true:
P(
X1 + + Xn nE(X1 )
t) P (N ormal(0, 1) t).
p
Econ 3400 Worksheet
1.) Ztable Questions:
Use a Ztable to answer the following questions.
Let Z denote a normal distribution.
a.) Find x so that P(x < Z < x) = .93
b.) Find x so that P(x<Z< )=.95
c.) Find x so that P(x<Z<1.96)=.97
2.) Binomial Table:
Chapter 3
I.
Bar Charts
A. categorical data can be summarized into a frequency distribution and displayed
graphically using a bar chart. Also use to give a visual comparison of two or more
groups
1.
constructing a comparative bar graph we use the relative
9/26/12
What is the probability of obtaining two red cards and two black cards in four draws?
(they are being replaced unless stated otherwise; consider all permutations). Use
multiplication rule.
1. P(R & R & B & B) = P( R ) * P ( R ) * P(B) * P(B) = .5
Chapter 2 Econ 3400
Observational Study
A. investigator observes characteristics of subset of the members of one or more existing
populations. The goal of an observational study is usually to draw conclusions about
the corresponding population or about di
I. Statistics
A. scientific discipline that provides methods to help us make sense of data
A. to be informed
B. to understand issues and be bale to make sound decisions based on data
C. to be able to evaluate decisions that affect your life
B. To be an in
September 10, 2012
Econ 3400
I. Median
a. The middle most point, it is the value that cuts the distribution into two equal
parts
b. Position of the median = N=1/2
b.i. N=number of the observations
b.ii. Able to tell you the position of the median
II. Mini