McGill University
Department of Economics
Economics 257D: Economic Statistics
Assignment 3: Continuous distributions, including the Normal
These questions are in most cases taken from Newbold et al.
28. 10. 2014
1. A random variable has the density functi
Answer to Assignment 3
1. (a) The density
(b) The distribution
(c) 0.25;
(d) 0.25;
(e) 0.6.
2. The mean is 55000, the deviation is 12000.
3. The mean is 200; the deviation is 26.
4. (a) .
(b) .
.
(d) .
(e) .
(f) .
(g) .
5. (a) 0.5244; (b) -0.6745; (3) 0.8
Answer to Assignment 4
Note: We only mark question 1, 2, 4 (a), 4(b) and 5. Each small question takes around 0.5
point.
1.
(a) ; ;
(b) The variance of sample mean is smaller when n is greater. The smaller
variance of the more population gathers around the
McGill University
Department of Economics
Economics 154-257D: Economic Statistics
Assignment 4: Sampling distributions and point estimation
John W. Galbraith
These problems are taken from Newbold et al.
1. The fuel consumption of all cars of a particular
Economic
Statistics
J.W. Galbraith
McGill University
Copyright: J.W. Galbraith 2007-2014
Version of: September 2014
Typeset on: 3. 9. 2014
Preface
I hope that these draft chapters are useful. Comments on this draft, particularly
any errors that you might
McGill University
Department of Economics
Economics 257D: Economic Statistics
Assignment 3: Continuous distributions, including the Normal
These questions are taken from Newbold et al.
26. 10. 2010
John W. Galbraith
1. An analyst has available two forecas
McGill University
Department of Economics
Economics 154-257D: Honours Statistics
Assignment 4b: OPTIONAL
John W. Galbraith
1. a) Generate data from some process observable to you, such as:
the length of time between cars passing the place where you live,
Part III: Statistical methods
1
Chapter 10
Introduction to sampling and sampling distributions
We look at samples of data in order to learn about something, usually about
something more than the sample itself. Typically we are hoping to nd out about
a set
McGILL UNIVERSITY
Department of Economics
Economics 257D: Honours Statistics
Term 1 COURSE OUTLINE AND READING LIST
J.W. Galbraith (Term 1)
N.B.: You may not be able to get credit for this course if you take or have taken
other statistics courses. Be sure
McGill University
Department of Economics
Economics 257D: Economic Statistics
Assignment 3 Answers: Continuous distributions, including the Normal
Question 1
E[x] =
3
=
xfx (x)dx
4
x fx (x) dx +
x fx (x) dx +
3
=0
4
x fx (x) dx +
4
=x3
5
5x
5
(x2 3x)dx +
McGill University
Department of Economics
Economics 257D: Economic Statistics
Assignment 4
John W. Galbraith
Most of these problems are taken from Newbold et al.
1. The fuel consumption of all cars of a particular model has a true (population) mean
of 25
McGill University
Department of Economics
Economics 257D: Economic Statistics
Assignment 4 Answers
Question 1
Given that X N (25, (2)2 ), where X is the fuel consumption. Note that we can convert
X N (25, (2)2 ) to a standard normal distribution, so that
McGill University
Department of Economics
Economics 257D
Midterm examination, fall 2010
John W. Galbraith
Associate Examiner: J. Kurien
You have 80 minutes in which to complete this exam. If you nd any question
ambiguous, explain the diculty, make a reaso
McGill University
Department of Economics
Economics 154-257D: Honours Economic Statistics
Assignment 5: parametric inference
John W. Galbraith
A group of thirty economists enter into a competition among themselves to obtain the
highest prots in a year of
Answers to assignment 5
The mean, xbar, of the 30 data points is 8266.5, and
their sample standard deviation s is
42127.3 . Therefore the standard error (estimated
standard deviation) of xbar is
s/sqrt(n) = 42127.3/(sqrt(30) = 7691.4.
1.
The test that the
McGill University
Department of Economics
Economics 257D: Economic Statistics
Assignment 1: descriptive statistics
J. W. Galbraith
1. Obtain the data sets contained in the le two les A257-1a.txt and A257-1b.txt,
from Web CT. Each le contains one column re
McGill University
Department of Economics
Economics 257D: Economic Statistics
Assignment 2: Probability
John W. Galbraith
Exercises 14 are essentially taken from the book, but are given here because
you will not all have the same edition.
1. An equity ana
Answers to Oct. 2010 midterm.
1. When scaling random variables by `a', mean is
scaled by `a', median by `a', variance by `a' squared.
Note that the
coefficient of skewness has a third power in the
numerator and denominator, so it is unaffected by `a'
(and