Problem Set 1 Solutions
Economics 404 Winter 2014
University of Michigan
Utku Suleymanoglu
Due Wednesday, Jan 29th for Section 100, Tuesday, Jan 28th for
Sections 200 and 300, in Class. NO LATE SUBMISSIONS!
There are 57 points on this assignment. The foll
Problem Set 8
Economics 404
University of Michigan
Utku Suleymanoglu
Not Graded.
1. The population variance of math test scores among children is 36. In a sample
of 50 children, the average score is 65 (out of 100). Assume math test scores
are normally di
Problem Set 6
Economics 404
University of Michigan
Utku Suleymanoglu
For Section 100, due Wednesday,Feb 26th. For Sections 200 and
300, due Tuesday, Feb 25th. NO LATE SUBMISSIONS!
SHOW YOUR WORK! You are expected to return an STAPLED set of sheets
with an
Problem Set 8
Economics 404
University of Michigan
Utku Suleymanoglu
Not Graded.
1. The population variance of math test scores among children is 36. In a sample
of 50 children, the average score is 65 (out of 100). Assume math test scores
are normally di
Solutions to Problem Set 4
1. a. Chapter 5, Exercise 51
a.
b.
c.
d.
b. Chapter 5, Exercise 61
= 15
prob of 20 or more arrivals = f (20) + f (21) +
= .0418 + .0299 + .0204 + .0133 + .0083 + .0050 + .0029
+ .0016 + .0009 + .0004 + .0002 + .0001 + .0001 =
Problem Set 11 Solutions
Economics 404
University of Michigan
Utku Suleymanoglu
Not Due - Practice Only
1. True/False. Explain. [3pts each]
(a) In the multiple linear regression model, if error terms are heteroscedastic,
the least squares estimates are no
Midterm 2
Economics 404 Fall 2013
University of Michigan
Utku Suleymanoglu
SHOW YOUR WORK! Please show the intermediate steps of your calculations and explain your solutions.
You have 65 minutes to complete this exam. There are 65 points. There is also a
Midterm 1
Economics 404 Fall 2013
University of Michigan
Utku Suleymanoglu
SHOW YOUR WORK! Please show the intermediate steps of your calculations
and explain your solutions.
You have 70 minutes to complete this exam. There are 105 points you can earn
on
Introduction to Probability
Utku Suleymanoglu
UMich
Utku Suleymanoglu (UMich)
Introduction to Probability
1 / 47
Introduction
Probability likelihood of an event happening among all alternatives.
Mathematical treatment of probability is how scientists deal
Interval Estimation
Utku Suleymanoglu
UMich
Utku Suleymanoglu (UMich)
Interval Estimation
1 / 16
Introduction
Introduction
Point estimators give us a single number as guess for unknown population parameter
But we know that estimators are random variables,
Midterm II Information and Advice
This document outlines the basic information you need to know about the midterm
and also provide some advice on what to expect and how to prepare.
Information
Sections: 100 (Mo-We 11:30, GSI: Yulia) , 200 (T-Th 11:30, GSI
Hypothesis Testing
Utku Suleymanoglu
UMich
Utku Suleymanoglu (UMich)
Hypothesis Testing
1 / 37
Introduction
The Idea
Statistical inference is about arriving at conclusions about unknown population
parameters using data.
Example: we want to know the yearly
Sampling Distributions
Utku Suleymanoglu
UMich
Utku Suleymanoglu (UMich)
Sampling Distributions
1 / 21
Introduction
Population (Interest)
e.g. 20-23 year old
Americans who are not
in school
RANDOM
DRAW
Sample (Data)
e.g. n=100, 20-23 year
old randomly pic
Version 1
Midterm I Solutions
Economics 404 Winter 2014
University of Michigan
Utku Suleymanoglu
I. MULTIPLE CHOICE QUESTIONS:
Each question is worth 5 points. The answers of these questions should go on
the scantron sheet.
1. If two events with positive
Midterm 1 Solutions
Economics 404 Fall 2013
University of Michigan
Utku Suleymanoglu
SHOW YOUR WORK! Please show all the intermediate steps of your calculations.
You have 70 minutes to complete this exam. There are 106 points you can earn
on this exam, Yo
Midterm 2 Solutions
Economics 404 Fall 2013
University of Michigan
Utku Suleymanoglu
SHOW YOUR WORK! Please show the intermediate steps of your calculations and explain your solutions.
You have 65 minutes to complete this exam. There are 65 points. There
Multiple Linear Regression Model
Utku Suleymanoglu
UMich
Utku Suleymanoglu (UMich)
Multiple Linear Regression Model
1 / 35
Introduction
Introduction
I told you that we will be interested in more general relationships:
wagei = f (experiencei , schoolingi ,
Problem Set 11
Economics 404
University of Michigan
Utku Suleymanoglu
Not Due-Practice Only
1. True/False. Explain. [3pts each]
(a) In the multiple linear regression model, if error terms are heteroscedastic,
the least squares estimates are not only biase
Problem Set 10 Solutions
Economics 404
University of Michigan
Utku Suleymanoglu
For Section 100, due Wednesday, April 9th. For Sections 200 and
300, due Tuesday, April 8th.
NOTE: Only half or so of the questions will be randomly chosen to be
graded. You s
Problem Set 10
Economics 404
University of Michigan
Utku Suleymanoglu
For Section 100, due Wednesday, April 9th. For Sections 200 and
300, due Tuesday, April 8th. NO LATE SUBMISSIONS! Please do
not hand in any problem sets once the lecture starts. You can
PAST Final Exam
University of Michigan
Utku Suleymanoglu
I. MULTIPLE CHOICE QUESTIONS:
NOTE: THIS WAS A FINAL EXAM, so IT WAS CUMULATIVE.
I REMOVED THE MULTIPLE CHOICE QUESTIONS WHICH
ARE NOT INCLUDED IN YOUR MIDTERM. Please note that
your exam will have
Problem Set 9
Economics 404
University of Michigan
Utku Suleymanoglu
For Section 100, due Wednesday, April 2nd. For Sections 200 and
300, due Tuesday, April 1st. NO LATE SUBMISSIONS! Please do
not hand in any problem sets once the lecture starts. You can
PAST Final Exam
University of Michigan
Utku Suleymanoglu
I. MULTIPLE CHOICE QUESTIONS:
NOTE: THIS WAS A FINAL EXAM, so IT WAS CUMULATIVE.
I REMOVED THE MULTIPLE CHOICE QUESTIONS WHICH
ARE NOT INCLUDED IN YOUR MIDTERM. Please note that
your exam will have
Assignment 9 Solutions
Economics 404
University of Michigan
Utku Suleymanoglu
GRADING: 42 points in total. The thoroughly graded questions are: 1, 2.
The rest of the questions are graded for completeness.
1. Suppose a researcher collects data on computer
ECON 404 Problem Set 5
Sihyun Kim
Q1.
=0.0067379469
b) 1-cfw_P(0)+P(1)=1-(+)=1-(0.0067379469+0.03368973499)= 0.9596
c) = 0.23965103644
d) =0.08208499862
e) , therefore, expected cost due to accidents in a week would be $10,000
Q2
a)
b) 0, because Big Mac
Hypothesis Testing
Utku Suleymanoglu
UMich
Utku Suleymanoglu (UMich)
Hypothesis Testing
1 / 41
Introduction
The Idea
Statistical inference is about arriving at conclusions about unknown population parameters using
data.
Example: we want to know the yearly
Hypothesis Testing: Two Populations
Utku Suleymanoglu
UMich
Utku Suleymanoglu (UMich)
Hypothesis Testing: Two Populations
1 / 17
Introduction
Introduction
Sometimes we are not interested in the population mean of a single population, but
two populations a