Department of Management, UTSC
MGEB12 Quantitative Methods in Economics II L01/L30
Assignment #1 Winter 2015
Due TUE/WED January 27/28 in class. Late Assignments will not be accepted. This assignment
MGEB12 Lecture 5
Match Sample Design;
Hypothesis Testing about Two
Proportions
Towards Inference about Population
Variance
Ata Mazaheri
1
Lecture Outline
Inference
about two Population Means, Varianc
MGEB12 Lecture 4
Hypothesis Testing about two Population
Means
Ata Mazaheri
1
Lecture Outline
Inferences About the Difference Between
Two Population Means: 1 and 2 Known
Inferences About the Differe
MGEB12 Lecture 2
Confidence Interval
Hypothesis Testing of the Mean
(Variance Unknown)
Ata Mazaheri
1
Lecture Outline
So Far!
Confidence Interval
Population Mean: Unknown
Problem Solving
2
Confidence
MGEB12 Lecture 3
Confidence Interval/Hypothesis Test
of Proportions
Type II Error
Ata Mazaheri
1
Lecture Outline
Population Proportion
Type II Error:
 Calculating the Probability of Type
II Errors
MGEB12 Lecture 1
Review
Hypothesis Testing of Mean (Variance
Known)
Ata Mazaheri
1
Lecture Outline
A Short Review
Developing Null and Alternative
Hypotheses
Type I and Type II Errors
Population Me
Department of Management, UTSC
MGEB12 Quantitative Methods in Economics II L01/L02  Assignment #2 Solution
Problem 1
(a)
H0: = 606.40
Ha: 606.40
RejectH0ifZ0  Z/2 or Z0 Z/2,
x 0 x 606.40
Z0
/ n
65
= mean of x = standard deviation of x =
Population
Conclusion from
Test
H0 True
Correct
Conclusion
Type I Error
Accept H0
Reject H0
Ho: 0
Ha: < 0
Summary of test for
population mean
variance unknown
Testing of population mean, population variance known Summary
Test Statistic
P[Z Z ] = , P[Z Z/2 ] = /2
CI:
x 0
x Z /2
Z0
n
/ n
If using pvalue approach, reject H0 if pvalue
Tests
Ho: 0
Ha: < 0
Re
MGEB12 Lecture 3
Confidence Interval/Hypothesis Test of
Proportions
Type II Error
Ata Mazaheri
0
Lecture Outline

Population Proportion
Type II Error:
Calculating the Probability of Type II Errors
De
MGEB12 Quantitative Methods in Economics II
Lecture 01 Introduction
Statistics is the science of the collection, organization,
and interpretation of data
G. Hopkins quoted by Wikipedia
Collection
Su
Disney Movies  QUALITATIVE Revenue $
Pocahontas
346
Hunchback of Notre Dame
325
Hercules
253
Mulan
304
Tarzan
448
Dinosaur
354
The Emperor's New Groove
169
Lilo & Stitch
273
Treasure Planet
110
The J