COMMERCE7033
Quantitative Methods
Formula Sheet
November Exam 2013
Univariate Sample Description
1 n k
kth sample moment m[ k ] = xi
n i =1
1 n
kth sample central moment cm[k ] =
xi x
n i =1
skew = cm[3] cm[2]3/2
(
(
)
(
)
3
2
1 n
1 n
= i =1 xi x i =1 xi

POSTGRADUATE
Examination Paper Semester 1, June 2015
102322
QUANTITATIVE METHODS (M)
COMMERCE 7033
Official Reading Time:
Writing Time:
10 mins
180 mins
Total Duration
190 mins
Instructions to Candidate:
1.
This is a Closed Book examination.
2.
You should

Quantitative Methods
One Sample Hypothesis
Tests
David Du
Business School
The University of Adelaide
3510-COMMERCE-COMB-INED-0004-SEMESTER1-2015
Contents
1
2
3
4
5
6
7
Logic of Hypothesis Testing
Statistical Hypothesis Testing
Testing a Mean: Known Popula

Quantitative Methods (M)
2014 Semester 1 Sample Exam
Disclaimer:
Dear Students,
Please be aware that (as the title of this paper suggests) this is only a sample
examination paper. As you are all now aware any sample, including this one, may
potentially su

Quantitative Methods (M)
2014 Semester 1 Sample Exam
Disclaimer:
Dear Students,
Please be aware that (as the title of this paper suggests) this is only a sample
examination paper. As you are all now aware any sample, including this one, may
potentially su

POSTGRADUATE
In Class (Mid-term) Examination Paper
Semester 1, March 2015
QUANTITATIVE METHODS (M) & (H)
3510
COMMMERCE 7033
Dr Kai Du
Given Name: _ Surname:_ Student ID: _
Please circle the name of your tutor and the date of your tutorial
Tutor Name:
Tut

'i Z
+1 72W" (xi/W76
g Chapter 9 One-Sample Hypothesis Tests 34? _
b. Approaching 03H e for landing, a Bri sh Air ight from London has been in a holding
pattern for 45 minutes due to bad weather. Landing is expected within 15 minutes. The
ight crew could

Quiz 5 (Week 9)
1. Which of the following is incorrect?
A) The level of significance is the probability of making a Type I error.
B) Lowering both and at once will require higher sample size.
C) The probability of rejecting a true null hypothesis increase

Quiz 4 (Week 7) answer guide
1. The Central Limit Theorem (CLT) implies that
A) the population will be approximately normal if n 30.
B) repeated samples must be taken to obtain normality.
C) the distribution of the mean is approximately normal for large n

1. A local trucking company fitted a regression to relate the travel time (days) of its shipments
as a function of the distance traveled (miles). The fitted regression is Time = 7.126 + 0.0214
Distance. If Distance increases by 50 miles, the expected Time

(Using Numerical Measures to Describe Data)
(03)5731896
[email protected]
2013
P. Newbold, W. L. Carlson and B. Thorne(2007). Statistics for Business and the Economics, 7
Edition, Pearson.
Berenson, M. L., Levine, D. M., and Krehbiel, T

The following examples illustrate why it's preferable to include the media
1
Example A: Excluding the median when calculating Q1 & Q3.
2
3
4
5
Median = 4
Q1 = Median of all values less than 4
Q1 = 2
Q3 = Median of all values greater t
The IQR (gap between

24/02/2017
Quantitative Methods (M)
Learning Objectives
Topic 2 Data Collection and
Summary Statistics
Understand basic statistical terminology
Understand sampling concepts and methods
Be introduced to graphical data presentation and some potential
issues

2/24/2017
Consultations
Quantitative Methods (M)
George Tuesdays 2pm and by email appointment (rm 12.14)
Topic 1 Quantitative Methods in
Context
John TBA
Tri TBA
Tuan TBA
Reading: Doane & Seward Chapter 1
Dessie TBA
Habtamu TBA
Prepared by George Mihaylov

Problem: Why doesn't the sample standard deviation formula (s) mimic the population standard deviation formula ()?
=(26_(=1)^(_ )^2 )/(1)
and =(2_(=1)^(_)^2 )/)
Where
Formal answer: In the same that we use x-bar to estimate , we can use s to estimate . Ho

2/24/2017
Recall from last lecture
Quantitative Methods (M)
Sampling error is the difference between an estimate
and the corresponding population parameter. Example
for the sample mean:
Topic 6 The Concept of Interval
Estimation
Moreover, as Ive mentio

2/24/2017
The Logic of Hypothesis Testing
Topic 7 Hypothesis Testing and
Analysis
Reading: Doane & Seward Chapter 9
Chapter 9
Quantitative Methods (M)
Steps in Hypothesis Testing:
Step 1: State the assumption to be tested.
Step 2: Specify the decision rul

2/24/2017
Visual Displays
Topic 8 Simple Regression
Analysis
Reading: Doane & Seward Chapter 12
Chapter 12
Visual Displays and
Correlation Analysis
Quantitative Methods (M)
Begin the analysis of bivariate data (i.e., two variables) with a
scatter plot.
A

Quantitative Methods (M) Tutorial 8 (Week 9)
Section Exercises from Doane & Seward 5th Edition.
Dear All,
You will notice that Ive included Chapter 10 questions in this tutorial although content from
this chapter is not explicitly covered by the lectures.

Quantitative Methods (M) Tutorial 4 (Week 5)
Section Exercises from Doane & Seward 5th Edition.
Section Exercises (to be discussed in tutorials):
Chapter 6 6.2
For Question 6.2 also calculate E(X) as well as the standard
deviation of X. How would you desc

Quantitative Methods (M) Tutorial 6 (Week 7)
Mid-term Exam Solutions
This weeks tutorials will cover the mid-term exam solutions. Your graded papers will be
returned to you in class, where the tutors will go through the answers with you. My intent
with th

Quantitative Methods (M)
Tutorial 2: Solutions
Tutorial 2 Solutions
Q1
a)
Mean
Median
Mode
St. Dev.
Variance
Total
18.17391
17
Multiple
9.128637
83.33202
Class 1
16.41667
14.5
14
6.374072
40.62879
Class 2
20.09091
20
No Mode
11.44076
130.8909
b)
Xmin
Q1
M

2/24/2017
Chapter 6
Quantitative Methods (M)
6.1 Discrete Distributions
Random Variables
Topic 4 Introduction to Discrete
and Continuous Probability
Distributions
A random variable is a function or rule that assigns a numerical
value to each outcome in th

24/02/2017
Chapter 5
Quantitative Methods (M)
Random Experiments
Sample Space
Topic 3 Probability
A random experiment is an observational process whose results
cannot be known in advance.
The set of all outcomes (S) is the sample space for the experiment.

Quantitative Methods (M) Tutorial 2 (Week 3)
Section Exercises from Doane & Seward 5th Edition.
Q1.
The following data set represents the test scores of Mathematics 1A students
from 2 tutorial classes at the University of Adelaide. The test was out of 50.

Quantitative Methods (M)
Tutorial 8: Solutions
Tutorial 8 Solutions
9.14/9.18
a. H0: 140 mg vs. H1: 140 mg.
x 0 139.4 140
b. zcalc
1.3416
2
n
20
c. Decision Rule: Reject H0 if zcalc 1.645 or if zcalc 1.645 . 1.3416 does not
fall in the rejection region

Quantitative Methods (M)
Tutorial 5: Solutions
Tutorial 5 Solutions
Q1.
Efficiency refers to the variance of the estimators. To answer this question you can follow a
simple numerical example like the one presented at the last lecture for the population
co