THE UNIVERSITY OF SYDNEY
SCHOOL OF MATHEMATICS AND STATISTICS
Sample Quiz
MATH1005: Statistics
2014
Lecturers: Di Warren and Nicola Armstrong
Family name:
Other names:
SID:
Day:
Time:
Room:
Signature:
There are 15 multiple choice questions. Each question
The University of Sydney
MATH1005 Statistics
sydney.edu.au/science/maths/MATH1005
Semester 2
Tutorial Week 9
2011
Questions to try before the tutorial.
1. [Multiple Choice] Let X1 , . . . , Xn be a random sample of size n from a distribution with
1
mean a
The University of Sydney
MATH1005 Statistics
sydney.edu.au/science/maths/MATH1005
Semester 2
Tutorial Week 10
2011
Questions to try before the tutorial.
1. (Multiple choice) In testing the hypothesis that X B(12, .5) using large values of
X as evidence, a
The University of Sydney
MATH1005 Statistics
Semester2
Course Overview
2016
Aim of Course
To develop foundational statistical literacy which can be transferred to any discipline:
how to understand data (Part1), how data arises from populations (Part2), an
The University of Sydney
MATH1005 Statistics
Summer/Winter/Semester2
Introduction to R
2016
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
The University of Sydney
MATH1005 Statistics
Copyright:
Summer/Winter/Semester2
University of Sydney
Topic6: Continuous Random Variables
2016
Draw a sketch of the appropriate Normal before looking up the Normal table or using R.
For a continuous random va
The University of Sydney
MATH1005 Statistics
Copyright:
Summer/Winter/Semester2
University of Sydney
Topic5: Discrete Random Variables
Discrete Random Variables
For a discrete random variable X
probability distribution
cfw_x, P (X = x) (often represented
8005A SEMESTER 2 2010 PAGE 19 0F 36
2. [15 marks] An urn contains 15 balls: 6 of them are red While the other 9 are White.
Twelve draws are made randomly with replacement. Let X denote the number of
times a red balk is draw.
(a) [1 mmk] Explain Why X is w
THE UNIVERSITY OF SYDNEY
Math1005 Statistics
Semester 2
Quiz practice questions Week 12
2011
Name:
SID:
Time allowed: 40 minutes
For the multiple choice questions please circle the letter corresponding to your answer.
You will be provided with a blank she
THE UNIVERSITY OF SYDNEY
SCHOOL OF MATHEMATICS AND STATISTICS
Sample Quiz 1
MATH1005: Statistics
Family name:
Other names:
SID:
Day:
Time:
Room:
Signature:
There are 15 multiple choice questions. Each question is worth one mark.
Please ll in the correct a
MATH1005 Tutorial Week 4 Solutions
n
1. Sxy = i=1 xi yi ( xi )( yi ) = 880.5 (25)(432) = 19.5.
n
12
From here we see the only possible correct answer is (c).
For the benet of later questions we compute the other two quantities as well:
2
n
x 2
Sxx = i=1 x
MATH1005 Tutorial Week 2 Solutions
1. To get the frequency distribution for the n = 31 values, simply count how often each distinct value
occurs:
No. of ice cream x
Frequency fx
Relative frequency fx /n
0
9
0.29
1
8
0.26
2
4
0.13
3
4
0.13
4
2
0.06
5
1
0.0
MATH1005 Tutorial Week 3 Solutions
1. (a) Denoting the values as x1 , x2 , . . . , xn (with n = 36), the mean is
n
1
1
x = n i=1 xi = 36 238.1 = 6.613889 6.61 (the indicates rounding). The variance can be
computed via the computing formula
s2
x
=
1
n1
n
1
THE UNIVERSITY OF SYDNEY
M ATH 1005 S TATISTICS
Semester 2
Assignment 1
2014
(1) Aim of Assignment
To explore the process of data analysis in Chapter 1: sourcing the data, creating numerical and graphical summaries, and interpreting the ndings.
(2) Marks
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THE UNIVERSITY OF SYDNEY
Math1005 Statistics
Semester 2
Quiz 1a Week 8
2010
Name:
SID:
Time allowed: 40 minutes
For the multiple choice questions please circle the letter corresponding to your answer.
You will be provided with a blank sheet for rough work
8005A SEMESTER 2 2007
THE UNIVERSITY OF SYDNEY
FACULTIES OF ARTS, ECONOMICS, EDUCATION,
ENGINEERING AND SCIENCE
MATHlOOS
STATISTICS
November 2007 LECTURERS: R Kulik M Stewart
TIME ALLOWED: One and a half hours
This examination has two sections: Multiple C
Report 2 Probability Template
Analysis
Research
MATH1005 2015
Details
Concisely state the Monty Hall problem, assuming the host always reveals a goat. Draw a picture to
illustrate.
Mark
1
There is 3 closed doors. Behind one door is a car, others are goats
300-515; SEMESTER 2 2011 PM: 1'1 (31 33
Extended Answer Section
Arwwer these questions 3% the spacw pmw'ded
I1, [15 marks] Raw material used in the production of a synthetic bre is stared in a place:
with no humidity contra. Measurenmnts of the relative h
8005A SEMESTER '2 2012 '
Extended Answer Section
Answer these queations in the spaces provided
Sci-uk'm M WE; SW
1. [15 marks] The following utput gives the maximum bempraratm'es :22; and y; and
their differences 2:; m y; w mi, in C, for a! m 1: 2, . . .3
8005A SEMESTER 2 2011 PAGE 11 OF 33
Extended Answer Section
Answer these questions in the spaces provided
1. [15 marks] Raw material used in the production of a synthetic bre is stored in a place
with no humidity control. Measurements of the relative h
MATH1005 Tutorial Week 7 Solutions
1. The mean of X is given by the integral E (X ) = xfX (x) dx, where fX (x) =
probability density function (PDF) of X . Here this is
fX ( x) =
2
1
2
0
d
dx FX (x)
is the
for 0 < x < 2,
otherwise.
2
So E (X ) = xfX (x) dx
8005A SEMESTER 2 2010 PAGE 11 OF 36
Extended Answer Section
Answer these questions in the spaces provided
1. [15 marks] In many countries, children are immunized against diptheria1 pertussis and
tetanus (DPT), in order to reduce the mortality (death) rate
8005A SEMESTER 2 2013 PAGE 10 OF 30
Extended Answer Section
Answer these questions in the spaces provided
1. [15 marks] The following Routput gives the scores obtained on two different cognitive
tests 1:5 and y; for i = 1,2,. . . , 15 by 15 different peop
COOSYBA Sennsres2 2015 PAGE 6 OF 18
Extended Answer Section
Answer these questions in the spaces provided
1. We are interested in monitoring the air quality index (AQI) in the month of July 2015
between two regions: Sydneys centraleast (CE) and Sydneys no
(30067614 SEMESTER2 2015 PAGE 6 OF 18
Extended Answer Section
Answer these questions in the spaces provided
1. We are interested in monitoring the air quality index (AQI) in the month of July 2015
between two regions: Sydneys centralreast (CE) and Sydneys
8005A Semester 2 2011
Page 11 of 33
Extended Answer Section
Answer these questions in the spaces provided
1. [15 marks] Raw material used in the production of a synthetic fibre is stored in a place
with no humidity control. Measurements of the relative hu