Carleton University
Department of Economics
ECON 2202 E
Statistical Methods in Economics and Business II
Fall 2015
Professor Ba Chu
Class: Tuesdays and Thursdays, 1:05 - 2:25 p.m.
Tutorial: Thursdays, 11:35 - 12:55 p.m. (details: TBC)
Office: Loeb Buildin
Type A Questions
1. (30 marks) It is well known that the key to estimating and testing the dierence between two population
means 1 2 from two samples is to nd an appropriate statistic. However, the appropriate statistic
depends on the types of two samples
ECON 2202 E
FALL 2014
Statistical Methods in Economics and Business I
TEST 1A
This test is worth a total of 75 marks with marks per question as indicated.
Unless otherwise specified assume all populations are normally distributed.
For full marks, show you
1. A major U.S. oil company has developed two blends of gasoline. Managers are interested
in estimating the difference in mean gasoline mileage that will be obtained from using the two
blends. As part of their study, they have decided to run a test using
ECON 2202 Statistical Methods in Economics and Business II
PRACTICE ASSIGNMENT TOPIC 10
Unless otherwise specified assume all populations are normally
distributed.
SHORT-ANSWER QUESTIONS
1. Dr. ABC is an economist who studies the effects of immigration. H
ECON 2202 Statistical Methods in Economics and Business II
PRACTICE ASSIGNMENT TOPIC 14
SHORT-ANSWER QUESTIONS
1. In regression, what is the value of y y measure and what is it called?
2. What are data points that lie apart from the rest of the points cal
ECON 2202 Statistical Methods in Economics and Business II
Solutions PRACTICE ASSIGNMENT - TOPIC 10
Unless otherwise specified assume all populations are normally
distributed.
SHORT-ANSWER QUESTIONS
1. Dr. ABC is an economist who studies the effects of im
ECON 2202 TUTORIAL TOPIC 13
1. The following are the results of 2400 tosses of a die. Based on this information can you
determine if the die is fair? Use alpha = 0.05.
Die face
1
2
3
4
5
6
TOTAL
Frequency
352
418
434
480
341
375
2400
2. A loan officer was
ECON 2202 Statistical Methods in Economics and Business II
Solutions PRACTICE ASSIGNMENT - TOPIC 11
Unless otherwise specified assume all populations are normally
distributed and independent.
SHORT-ANSWER QUESTIONS
1. State the formula used to test for th
ECON 2202 Statistical Methods in Economics and Business II
PRACTICE ASSIGNMENT - TOPIC 12
SHORT-ANSWER QUESTIONS
1. You must test: H0: 1 = 2 = 3 = 4. You draw 8 observations from the first population, 9
from the second, 12 from the third, and 11 from the
Topic 10
Hypothesis Tests for One and Two
Population Variances
(Textbook Chapter 11)
1
Steps for Hypothesis Testing
Step 1: Define the Null and Alternate hypotheses.
Step 2: Find the critical value from the tables. Draw the
distribution and indicate rejec
ECON 2202 TUTORIAL 1 TOPIC 10
State the hypotheses, critical values, decision rules, calculate the test statistics, and state the
conclusions for the following.
Sample 1 has a variance of 2.54 and a sample size of 4. Sample 2 has a variance of 3.60 and a
ECON 2202 Statistical Methods in Economics and Business II
Solutions PRACTICE ASSIGNMENT - TOPIC 11
Unless otherwise specified assume all populations are normally
distributed and independent.
SHORT-ANSWER QUESTIONS
1. State the formula used to test for th
Topic 13
Analysis of Categorical Data:
Tests of Independence and
Goodness of Fit
1
Tests of Independence - Contingency Analysis
Contingency Tables classify data making it qualitative
A table used to classify sample observations according to two or
more id
Topic 11
Estimation and Hypothesis Testing of Differences
between Two Population Means and Proportions
(Textbook Chapter 10)
1
Difference of two population means
2
Two Possible Sample Types
Independent Samples
Paired or Dependent Samples
3
Independent Sam
1. The general format for a confidence interval estimate is:
Point estimate + critical value (standard error).
In this case, the point estimate is ! x1 x 2 = 23.4 25.7 = 2.3mpg .
This value forms the center of the interval estimate. To complete the confid
USING EXCEL FOR TOPICS
10,11,12,14, and 15
DESCRIPTIVE STATISTICS
Note that Excel has various
functions which can also be used
to calculate individual statistics.
F TEST FOR PAIR OF VARIANCES
Note that Excel only performs only a one tail test.
To get the
ECON 2202 Statistical Methods in Economics and Business II
Solutions PRACTICE ASSIGNMENT TOPIC 14
SHORT-ANSWER QUESTIONS
1. In regression, what is the value of y y measure and what is it called?
The unexplained error or the Residual
2. What are data point
ECON 2202 Statistical Methods in Economics and Business II
PRACTICE ASSIGNMENT - TOPIC 13
SHORT-ANSWER QUESTIONS
1. In using the chi-square goodness-of-fit test, a statistician needs to make certain that
none of the expected frequencies are less than what
ECON 2202 Statistical Methods in Economics and Business II
Solutions PRACTICE ASSIGNMENT TOPIC 12
SHORT-ANSWER QUESTIONS
1. You must test: H0: 1 = 2 = 3 = 4. You draw 8 observations from the first population, 9
from the second, 12 from the third, and 11 f
Topic 15
Multiple Regression Analysis and Model Building
1
The Multiple Regression Model
Model with Two or More Independent Variables
2
Regression Analysis
Again regression analysis is used to:
Describe the impact of changes in independent
variables on th
USING EXCEL FOR TOPICS
10,11,12,14, and 15
DESCRIPTIVE STATISTICS
Note that Excel has various
functions which can also be used
to calculate individual statistics.
F TEST FOR PAIR OF VARIANCES
Note that Excel only performs only a one tail test.
To get the
ECON 2202 Statistical Methods in Economics and Business II
PRACTICE ASSIGNMENT - TOPIC 15
SHORT-ANSWER QUESTIONS.
1. A recent study by the U.S. Department of Agriculture attempted to develop a multiple regression model to explain
variation in farm income.
ECON 2202 Statistical Methods in Economics and Business II
Solutions PRACTICE ASSIGNMENT - TOPIC 15
SHORT-ANSWER QUESTIONS.
1. A recent study by the U.S. Department of Agriculture attempted to develop a multiple regression model to explain
variation in fa
ECON 2202 Statistical Methods in Economics and Business II
Solutions PRACTICE ASSIGNMENT - TOPIC 13
SHORT-ANSWER QUESTIONS
1. In using the chi-square goodness-of-fit test, a statistician needs to make certain that
none of the expected frequencies are less
ECON 2202 TUTORIAL TOPIC 14
1. A random sample of variables, x and y, produced the following results.
x
19
13
17
9
12
25
20
17
Y
7
9
8
11
9
6
7
8
a. Draw the scatter diagram and comment on the relationship.
b. Calculate the correlation coefficient. (x = 1
ECON 2202 TUTORIAL TOPIC 11
1.
Sample mean
Sample standard deviation
Sample size
Group 1
195
35.10
120
Group 2
216
37.8
135
a. Assuming the population variances are equal, construct a 90% confidence interval for the
difference in the means which measure t
ECON 2202 Statistical Methods in Economics and Business II
EXCEL ASSIGNMENT
WINTER 2016
Due: by END OF CLASS (11:30) Thursday April 7, 2016
NO LATE ASSIGNMENTS ARE ACCEPTED.
IT MUST BE SUBMITTED TO COMPLETE THE COURSE REQUIREMENTS
READ ALL INSTRUCTIONS BE
Topic 14
Correlation analysis and simple
linear regression
1
Correlation Analysis
2
Scatter Plots and Correlation
A scatter plot (or scatter diagram) is used to show in a
visual way the relationship between two variables.
Remember that the independent var
1. The variation requirement specifies that the standard deviation cannot exceed 0.01
gallon, we need to use a test for a single population variance. The appropriate null
and alternative hypotheses are:
H o : 2 .0001
2
! H a : > .0001 .
Note that we have
Q1.
Ho. : The
plan to stay at the hotel again is independent
of whether
or not this is the first time
the customer has stayed at the hotel.
H A .
The plan to stay again is not independent
of whether the customer has stayed at the
hotel before
The continge