cfw_UNiVERSlTY OF Si'DNEY' ' MATHHWS STATESTSCS 2615 0 DR 5i WARREN] I
.Linear- Functions of Random Variables
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We now consider the moments and distribution of combinations of random var-iables starting
with a simple linear function.
Linea
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@C-ontinuous Distributions
Now we move from probability models for discrete data to models for continuous data. In
MATHlOOS, simple integration is assumed knowledge.
Examples of
PARTZ
PROBABIUTY AND
DISTRIBUTION THEORY [UNWEREWV- OF SYRNEY 0 MATHiS STTlSTECS 2815 9 DR i3! WARREN] 2?.
@Probability
The origin of probability
Probability is often perceived as scary, but formally it is a set of mathematical tools which dates
back cent
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Context
This' Is a very useful t
Analysis
Data
Source
Integrity
Numerical
Summaries
Graphical
Summary
Usefulness
Research
Details
What is your data?
Wireless broadband subscriptions in Australia from 2010 to 2016
Where did you find your data? (Eg Provide t
MATH1005 | Stats Report1
Introduction
The data which will be analyzed is about all kinds of animals that had been registered in Ballarat
before June,30,2015, and this essay is focusing on analyse the age groups of them. The reason why
this data is been co
Why overseas study at Australia universities is popular
In resent years,a number of factors shows that an increasing
number of foreign students choose to study at Australia
universities, several reasons are given for the chose of
attending an Australia un
Journal
In Australia, these two weeks still cold and pretty humid,
which forces me got up latter and latter.
For I(and my parents) want to get higher GPA in the final exam,
I bought two books for extra training, and I am so surprised for
books in Australi
The University of Sydney
MATH1005 Statistics
Semester2
Course Overview
2017
Aim of Course
To develop foundational statistical literacy which can be transferred to any discipline.
Part1: how to understand data
Part2: how data arises from populations
Part 3
The University of Sydney
MATH1005 Statistics
Semester2
Overview of Stats Reports
2017
Aim of Stats Reports
To test statistical literacy and communication.
Report1: gives you experience with finding and analysing data, to illustrate the transfer of statist
The University of Sydney
MATH1005 Statistics
sydney.edu.au/science/maths/MATH1005
Summer/Winter/Semester2
PRACTISE QUESTIONS QUIZ 1
2017
Quiz1 consist of 5 questions requiring a numerical answer (answer to 2dp, if necessary).
The Quiz is testing your basi
The University of Sydney
MATH1005 Statistics
Summer/Winter/Semester2
Introduction to R
2017
This self-study tutorial is an introduction to R.
It should be completed at home before your first tutorial lab.
Why learn R/R Studio?
Throughout MATH1005 we use a
[UNIVERSITY OF SYDNEY I MATH1005 STATISTICS 2015 I DR DI WARREN]
.Numeirical Summaries
Having explored some graphical summaries, we now consider numerical summaries.
Why numerical summaries?"
A numerical summary describes a certain characteristic of the d
cfw_UNEVERSIW OF SYONEY I MAflg STAYISTECS 2015 It 33 ill WARREN] 1
.Random Variables
What is a random variable?
- Given a sample spgcfj a random variable is a scheme for allocating a number to each possible
outcome.
0 Each possible value taken by a ran
cfw_UNEansnv cfw_3F SYDiiEEY . MATHSBDE STATESTECS 291-5 . on m WARREN. cfw_H3 1
1 sample 2 Test (or Test for Mean)
We now consider tests when the unknown parameter is a mean Ju.
Motivating Examples: CommBank application, ADHD in Taiwan
Context
COnsider
PARTl
DATA ANALYSIS cfw_UNNERSETY 0F SYDiEY '6 MAYHESS SiATESTiCS 25315 3 BR Di WARRN Z
@lntroducing Statistics
Q1: Why do Statistics?
I keep saying the sexy job in the next ten years will be statisticians. People think I m joking, but who
would 've guess
.cfw_3NEVEQSITI' OF SI'DNEY ' MATHIQBS STATiSTiCS 2015 v DR Dl WARREN .1
.Sums of Non-Normal Random Variables
We have seen that the "Sum of Normal random variables is Normal: II. F It 12A : A
REVISION: Normal Random variables (Sit leaf in? .
For a sequen
cfw_UNWERSITY (3F SYDNEY 9 MATHEWS STATISTICS 2815 I DR BE'WARREN) 1
@Biva riate Data
Motivation
In many contexts it is useful to collect many pieces of information for each individual in the data
set (Eg For SydU students, we could collect height, weig
cfw_UNNERSIW or SYDNEY . MATm-nes srATIsncs 2915 . as a: WARREN- EH3 l
@1 sample t Test (and paired t-test)
We now consider a test for mean ,u where the population variance is unknown.
Assumption of known variance in 2 test
In some contexts, it is reasona
EUNNERSJTY OF SYDNEY 0 Mk'illis STTiSTlCS 2615 4" DR Di WARREN cfw_H3 2
@roportion Test
We now consider some different tests using the hypothesis testing framework, starting with a test
where the unknown parameter is a proportion p.
Motivating Examples:
The University of Sydney
MATH1005 Statistics
sydney.edu.au/science/maths/MATH1005
Summer/Winter/Semester2
PRACTISE QUESTIONS QUIZ 1
2017
Quiz1 consist of 5 questions requiring a numerical answer (answer to 2dp, if necessary).
The Quiz is testing your basi
THE UNIVERSITY OF SYDNEY
Semester 2, 2017
Information Sheet for MATH1005 Statistics
Websites: It is important that you check both the Junior Mathematics website and the MATH1005
website regularly.
Junior Mathematics webpage: http:/www.maths.usyd.edu.au/u/
The University of Sydney
MATH1005 Statistics
Copyright:
Summer/Winter/Semester2
University of Sydney
Topic2: Numerical Summaries and Boxplot
2017
Numerical Summaries
Given a sample cfw_xi and ordered data cfw_x(i) for i = 1, . . . , n
n
sample mean
samp
Analysis
Details
Mark
Research The Monty Hall problem is named due to its similarity to the television game show, Let's Make a Deal
1
hosted by Monty Hall. The contestant is given 3 doors to choose from. Behind two doors there are goats,
and behind the th
Zion Jeong, Darren Soy, Melinda Huynh, Thao-Vi Van
Analysis
Data
Source
Details
Sydneys daily average rainfall over 12 months (January - December) in 2014
Willyweather 2015, Sydney Rainfall. Available from :
<http:/rainfall.willyweather.com.au/nsw/sydney/
Safety Moment - Nitrogen
Copyright 2015 JBL Consulting Pty Ltd ABN 95 602 799 459
1
Sustainability in
Practice
Copyright 2015 JBL Consulting Pty Ltd ABN 95 602 799 459
2
John Lear
Trainee Chemical Engineer with BHP
at Port Kembla steelworks
B.E. (Chem) Un
Report 1 - Data Analysis Template MATHlOOS 2015
The data being analysed is the number of unprovoked shark attacks, both fatal and non-fatal in
Queensland waters per decade from 1915-2015. Special interest is taken in any statistical difference in
attack f
UNIVERSITY OF SYDNEY
MATHEMATICS
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