Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
Probability: A number that measures the relative likelihood that the event will occur.
Event: A collection of outcome where an outcome is the result of a random trial.
Random Experiment: Flip a coin
Sample space: cfw_H, T
Prob(H)=.5
Rules of Probability
1
Economics 3070008 Spring 2008
Problem Set 3 Solutions 1. Each day Peter, who is in the third grade, eats lunch at school. He only likes liver ( L) and onions (N), and these provide him a utility of
U L, N
ln LN .
Liver costs $4.00 per serving, o
Econ 3818 Midterm 1
Name:
1. To rate TV shows, phone surveys are sometimes used. Such a survey might record several variables, some of which are listed below. Which of these variables is categorical? a. the number of persons watching the show b. th
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2007
Name: _ Date: _ Use the following to answer questions 13: During the early part of the 1994 baseball season, many sports fans and baseball players noticed that the number of home runs being hit seemed to be unusually large. Below are the teambyteam
Econ 3818 Midterm 2 Use the following to answer questions 1 2.
Name:
A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 years. He mails a questionnaire on this subject to
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
Meanslogic behind hypothesis testing
CLT says
=0
=1 Sampling dist of is standard normal
=1
1 We know that should be close to . If it is true that then
To test whether is close enough to 1 that I believe it is possible for =1, I will calculate the
differen
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
Continuous Random Variable: A random variable that can take any numerical value
within a range of values.
F(x)=2x on [0,1]
1)
2) P(a
E(X) of a continuous Random Variable=
V(X) of a continuous Random Variable=
Normal DistributionContinuous RV
Unimodal
S
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
Continuous Random Variable: A random variable that can take any numeric value within
a range of values
Ranges not probability of x taking on a particular value
Because a CRV can take on any number of values over a certain range, we describe the
PDF of a C
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
HintersectH
HintersectT
TintersectT
X=Payoff
Outcome
Payoff X
P(X=x)
Payoff=$50
Payoff=$10
Payoff=$5
H
H
$50
HT or TH
$10
TT
$5
P(X=$50)=1/4
P(X=$10)=1/2
P(X=$5)=1/4
Costs $30 to play. Should you play?
Mean=Expected value
E(X)=
E(X)=50(P(X=$50)+10(P(X=$10
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
Geometric Model
In general, if we want to know the probability it will take x trials to get a success. We can
use the following model P(Xx)=(1p)^(x1)p
p=probability of success
x=# of trials to get a success
P(x=100)=(11/2)^(1001)(1/2)
You have a box
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
REGIONAL HEALTH IN AMERICA: A STATISTICAL EXAMINATION OF GEOGRAPHICAL OBESITY AND DIABETES
Introduction:
In 1997, the World Health Organization declared obesity an epidemic. Since that time, obesity rates have grown from 19.4% to 35.7%. Obesity is one of
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2012
Economics 3818
Office: Room 108
Professor Donald Waldman
waldman@colorado.edu
Tues/Thurs 4:00  5:30, and by appointment
Course Information
Welcome to Econ 3818. This is a first course in probability and statistics, with an
introduction to econometrics. A
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2007
ECON 3818 Final Project Fall 2007 Economists conduct studies in the following fashion: state a theory, collect data to test your theory, analyze the data, and state your conclusions. You are a researcher who is interested in the determinants of human
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2014
of adviceprovide primitives instead of solutions, simplify tradeoffs between
alternatives, dont bind constants at runtimeall suggest that it is better to err on
the side of simplicity. In other words, understand that less is more in the design of
an inst
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2014
All branches are conditional. The branch condition is specied by the instruction, which may test the register source for zero or nonzero; the register may
contain a data value or the result of a compare. There are also conditional branch
instructions to t
Introduction to Statistics with Computer Applications
ECON 3818

Summer 2015
Econ 3818030
Midterm #1
1. Calculate the probability of the following
(a) Out of a 52 card poker deck:
1st card = NonAce Face Card, 2nd Card = Even Card, 3rd Card = 5 or 7, 4th Card = Ace
(b) You draw 4 marbles out of a bag with replacement. There are 4
Introduction to Statistics with Computer Applications
ECON 3818

Summer 2015
Econ 3818030
Midterm #1
Student Name:
1. Calculate the probability of the following
(a) Out of a 52 card poker deck:
1st card = NonAce Face Card, 2nd Card = Even Card, 3rd Card = 5 or 7, 4th Card = Ace
(b) You draw 4 marbles out of a bag with replacemen
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2007
Opportunity Costs, PPF, Comparative Advantage PS
1) The statement that the U.S. inflation rate is 5 percent is an example of a a. positive statement. b. normative statement. c. statistical fallacy. d. prediction. 2) If a good is scarce, then: a. the
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2007
Exam 1 Practice Review Question Answers 1. D 2. B 3. Question should read "The five number summary of the number of home runs hit through Friday, June 3, 1994 by American League teams is" Answer is A. 4. B 5. A 6. B 7. There is no correct answer choi
Introduction to Statistics with Computer Applications
ECON 3818

Spring 2007
East India Trade Company: British Economic Growth through Opium Trade The beginning of the East India Trade Company marked a new era in the British economy. During the 15th century, England was stranded from trade with regions besides its immediate n
Chapter 1 4. A survey records many variables of interest to the researchers conducting the survey. The following are some of the variables from a survey conducted by the U.S. Postal Service. Which of the variables is categorical? * a. the county of r
University of Colorado at Boulder Department of Economics
Prof. Jeffrey S. Zax zax@colorado.edu 3034928268 Economics 3818 Syllabus and Schedule 17 August 2005
Welcome. I am Prof. Jeffrey S. Zax. This is Economics 3818, Introduction to Statistics W
R1401. Percent of People 25 Years and Over Who Have Completed High School 51 Mississippi 59.8 50 Texas 53.7 49 Kentucky 59.7 48 California 50.6 47 Alabama 58.9 46 Louisiana 59.9 45 Arkansas 62.1 43 West Virginia 64.3 43 Tennessee 59.4 42 South Caroli