SCHOOL OF ECONOMICS
FACULTY OF ARTS AND SOCIAL SCIENCES
ECMT1010
Business and Economic Statistics A
Semester 1, 2012
Unit Coordinator: Dr. Jordi McKenzie
Email: [email protected]
Office: Merewether 338
Consultation times: Tuesday 24pm
Class ti
University of Sydney
ECMT1010 Tutorial Questions (2014, Semester 1, Week 11)
Lecturer: Timothy Fisher, Simon Kwok
1.
Consider taking samples of size 100 from a population with proportion 0.33.
a. Find the mean of the distribution of sample proportions.
A)
ECMT 1010
Business and Economic
Statistics
Lecture 3: Descriptive Statistics
Learning Objectives
Distinguish between measures of central
tendency, measures of variability, measures of
shape, and measures of association
Understand the meanings of mean, m
ECMT1010 Workshop 6
Problems
1. (Chapter 7, problem 7.6)
A city's telephone book lists 100 000 people. If the telephone book is the frame for a study,
how large would the sample size be if systematic sampling were done on every 200th person?
2. (Chapter 7
University of Sydney
ECMT1010 Tutorial Questions (2014, Semester 2, Week 7)
Lecturer: Simon Kwok
1.
The New York Lottery has a daily game called "Take Five" where you win prizes based
on how many of the 5 selected numbers match your ticket. The probabilit
Week 2 WorkshopComputer Lab
Business and Economic Statistics A
Descriptive Statistics: Graphical Analysis
Internet resources:
http:/www.ruf.rice.edu/~lane/stat_sim/histogram/index.html shows the effect of varying binwidths  has a variety of data sources.
University of Sydney
ECMT1010 Tutorial Questions (2014, Semester 1, Week 12)
Lecturer: Timothy Fisher, Simon Kwok
1.
Situations comparing two proportions are described. In each case, determine
whether the situation involves comparing proportions for two g
University of Sydney
ECMT1010 Tutorial Questions (2014, Semester 2, Week 5)
Lecturer: Simon Kwok
1.
How many times does a person laugh in a day?
Suppose the population parameter is = the average number of laughs of a person in a
day. To estimate the param
Assignment
CIVMB_AS_v3A3
Certificate IV in Finance and Mortgage Broking
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University of Sydney
ECMT1010 Tutorial Questions (2014, Semester 1, Week 5)
Lecturer: Tim Fisher, Simon Kwok
1.
In this question, we study the proportion p of getting an even number from a toss of a die.
a. Is p a parameter or a statistic?
b. Suppose the
Faculty of Arts and Social Sciences
School:
Economics
Unit of Study:
ECMT1010 Introduction to Economic Statistics
Session:
Semester 2, 2015
Unit o f S tud y O ut lin e
Unit Coordinators
Unit coordinators may be consulted for help with any difficulties you
Faculty of Arts and Social Sciences
School of Economics
ECMT1010
Business and Economic Statistics A
S eme ste r 2, 2 014
Un it o f S tudy O ut lin e
Unit Coordinator:
Office Location:
Email address:
Consultation Hours:
Class times:
Venue:
Simon Kwok
440 M
University of Sydney
ECMT1010 Tutorial Questions (2014, Semester 1, Week 10)
Lecturer: Tim Fisher, Simon Kwok
1.
Select the answer closest to the specified areas for a N(0, 1) density.
a. The area to the left of z = 1.52
A) 0.064 B) 0.106 C) 0.936
D) 0.14
ECMT1010 Workshop 3
Problems
1. (Chapter 4, problem 4.2)
Given X = cfw_1, 3, 5, 7, 8, 9,Y = cfw_2, 4, 7, 9 and Z = cfw_1, 2, 3, 4, 7, solvethe following.
a.
b.
c.
d.
e.
f.
g.
h.
i.
X Z = _
X Y = _
X Z = _
X Y Z = _
X Y Z = _
(X Y) Z = _
(Y Z) (X Y) = _
X
THE UNIVERSITY OF SYDNEY
FACULTY OF ARTS & SOCIAL SCIENCES
Business and Economic Statistics A
ECMT1010
MidTerm Exam
VERSION A
CONFIDENTIAL
Family Name:
First Names:
Student ID No.:
April 2012
Time allowed: 90 minutes
Instructions

Write your family name
ECMT1010 Workshop 1
Problems
1. (Chapter 1, problem 1.4)
Suppose you are an operations manager for a plant that manufactures batteries. Give an
example of how you could use descriptive statistics to make better managerial decisions.
Give an example of how
ECMT1010 Workshop 8
Problems
1. (Chapter 9, problem 9.2)
Use the data given to test the following hypotheses. Assume the data are normally distributed
in the population.
2. (Chapter 9, problem 9.6)
According to a study several years ago, the average BMW d
Chapter 1
Introduction to
Statistics
1
Learning Objectives
Define statistics
Become aware of a wide range of applications of
statistics in business
Differentiate between descriptive and inferential
statistics
Become aware of the sources of data used i
ECMT1010 Workshop 7
Problems
1. (Chapter 8, problem 8.2)
For a random sample of 36 items and a sample mean of 211, compute a 95% confidence
interval for if the population standard deviation is 23.
2. (Chapter 8, problem 8.18)
According to Runzheimer Inter
ECMT1010 Workshop 5
Problems
1. (Chapter 6, problem 6.2)
The random variable X is uniformly distributed between 8 and 21.
a.
b.
c.
d.
e.
What is the value of f(x) for this distribution?
Determine the mean and standard deviation of this distribution.
Proba
Online Homework 7
starts: today @ 1.00pm
ends:
next Monday @ 5.00pm
access:
value:
Online Homework
02% of final mark
Todays outline inference for means
and proportions
sample proportion (p)
standard error and CLT for a sample proportion (Section 6.1)
c
ECMT1010 Workshop 2
Problems
1. (Chapter 3, problem 3.4)
Compute the mean for the following numbers.
2. (Chapter 3, problem 3.8)
The following table presents New Zealand's top 15 trading partners classified according to
export value for 2007. Compute the
Chapter 2
Charts and Graphs
1
Learning Objectives
Recognise the difference between grouped and
ungrouped data
Construct a frequency distribution
Construct a histogram, a frequency polygon, an
ogive, a pie chart, a stem and leaf plot, a Pareto
chart, an
ECMT1010 Workshop 4
Problems
1. (Chapter 5, problem 5.2)
Determine the mean, the variance and the standard deviation of the following discrete
distribution.
2. (Chapter 5, problem 5.8)
Use the probability tables in table A.2 to sketch the graph of each of
ECMT1010 Workshop 9
Problems
1. (Chapter 10, problem 10.2)
Use the following sample information to construct a 90% confidence interval for the
difference in the two population means.
2. (Chapter 10, problem 10.6)
A survey shows that the average insurance
Chapter 5
Discrete
Distributions
1
Learning Objectives
understand the concept of a random
variable and distinguish between
discrete and continuous random variables
determine the mean and variance of a
discrete random variable
identify the type of situa
Chapter 13
Simple Regression
Analysis
1
Learning Objectives
Compute the equation of a simple regression line from a
sample of data, and interpret the slope and intercept of the
equation
Understand the usefulness of residual analysis in testing the
assum
Chapter 9
Statistical Inference:
Hypothesis Testing for
Single Populations
1
Learning Objectives
Understand the logic of hypothesis testing, and know
how to establish null and alternate hypotheses
Understand Type I and Type II errors, and know how to
so
Chapter 4
Probability
1
Learning Objectives
Comprehend the different ways of assigning
probability
Understand and apply marginal, union, joint,
and conditional probabilities
Select the appropriate law of probability to use
in solving problems
Solve pr
Chapter 7
Sampling and Sampling
Distributions
1
Learning Objectives
Determine when to use sampling instead of a
census
Distinguish between random and nonrandom
sampling
Decide when and how to use various sampling
techniques
Be aware of the different t
1.
The central location of histogram for wage rates of males is around 6 to 8, while the central
location of histogram for wage rates of females is around 4 to 6. The central location of
histogram of females locates closer to the left side of xaxis. Data
CI and HT using modern and traditional methods
Inference
Parameters
Computation
bootstrap
or 1 2
statistic CLT + formula
Confidence
interval
bootstrap
or 1 2
statistic CLT + formula
randomization
or 1 2
=
Hypothesis
test
statistic null
CLT + formula
ra
We have collected 682 NSW residents income in the year 2010 (earnings=income). Stata summaries
their annual income as follows
a) (5 marks) Does the earnings in NSW appear to be symmetrically distributed? Explain your answer,
give two reasons.
b) (5 marks)
University of Sydney
ECMT1010 Workshop Solutions (2015, Semester 2, Week 10)
Lecturer: Tim Fisher
1.
a. Yes, the bootstrap distribution looks approximately normal.
b. The cutoffs that give 90% in the middle of a standard normal distribution is z* =
1.645.
University of Sydney
ECMT1010 Workshop Questions (2015, Semester 2, Week 12)
Lecturer: Tim Fisher
1.
A quantitatively savvy, young couple is interested in purchasing a home in northern New
York. They collected data on 48 houses that had recently sold in t