Middle East Technical University, Department of Economics, Fall 2012-2013
ECON 206 - Statistics for Economics II
Instructor: Dr. Osman Gulseven (A26), gulseven@metu.edu.tr
Course Assistant: Glsm Akarsu (A218), akarsu@metu.edu.tr
Schedule: Tuesday 14:40-17
Middle East Technical University Faculty of Economics and Administrative Sciences Department of Economics Econ 206 Spring 2008 PROBLEM SET # 2
1) A process produces bags of refined sugar. The weights of the contents of these bags are normally distributed
Middle East Technical University
ECON206 Statistics for Economists II
Assignment: Assignment 1- Midterm Question
Date:
12.11.2012
Student:
Emel Yavuz (1539287)
Question:
Using the identity
(Q^ - Q) = (Q^ - E (Q^) + (E (Q^) - Q) = (Q E (Q^) + B (Q^)
Show t
E 3-1 Listed below are the accounts for Risky Company and a series of transactions. Indicate
the accounts that would be debited and credited for each transaction.
Transaction
Account
Debited
Account
Credited
Mr. Cast, the owner, invested cash in business
METU FEAS
Department of Economics
ECON 206-Statistics for Economists II
Fall 2012
PROBLEM SET-IV-SOLUTIONS
(CHAPTER 10: Hypothesis Testing)
1. A single observation of a random variable having an exponential distribution is used to
test the null hypothesis
METU FEAS
Department of Economics
ECON 206-Statistics for Economists II
Fall 2012
PROBLEM SET-III-SOLUTIONS
(CHAPTER 9: Properties of Point Estimators and Methods of Estimation)
1. Let Y1,Y2 and Y3 be a random sample from a normal distribution where both
METU FEAS
Department of Economics
ECON 206-Statistics for Economists II
Fall 2012
PROBLEM SET-II-SOLUTIONS
(CHAPTER 8: ESTIMATION, 8.1-8.4)
1. Let X1,Xn be a random sample from N(,2). Find E(s2), V(s2).
Solution:
n
(X
2
S=
i =1
i
X )2
n 1
(n 1) s 2
E[
2
METU FEAS
Department of Economics
ECON 206-Statistics for Economists II
Fall 2012
PROBLEM SET-I
(SAMPLING DISTRIBUTIONS AND CENTRAL LIMIT THEOREM)
1. Suppose that Xi ~ N(,2) i=1,.,n and Zi ~ N(0,1) i=1,.,k and all variables are independent.
State the dist
Middle East Technical University Faculty of Economics and Administrative Sciences Department of Economics Econ 206 Spring 2008 PROBLEM SET # 5
1. Write the assumptions of the simple linear regression model.
^ ^ 2. Let yx and xy represent the slopes in the
Middle East Technical University Faculty of Economics and Administrative Sciences Department of Economics Econ 206 Spring 2008 PROBLEM SET # 4 1. Let X be a Bernoulli random variable. The probability p x (1 - p )1- x , x = 0,1 Find MLE of the parameter p.
Middle East Technical University Faculty of Economics and Administrative Sciences Department of Economics Econ 206 Spring 2008 PROBLEM SET # 3
1. Let X 1 and X 2 be a random sample of two observations from a population with mean and variance 2 . Consider
Chapter 9: Properties of Point Estimators and Methods of Estimation
9.1 Refer to Ex. 8.8 where the variances of the four estimators were calculated. Thus, eff( 1 , 5 ) = 1/3 eff( 2 , 5 ) = 2/3 eff( 3 , 5 ) = 3/5. a. The three estimators a unbiased since: