School of Mathematics & Statistics
School of Mathematics & Statistics
MATH 1015: Biostatistics - 2017
MATH1015 - Credit value: 3
1. All information relevant to MATH1015 (Biostatistics) is available at
http:/www.maths.usyd.edu.au/u/UG/JM/MATH1015/
Please v
THE UNIVERSITY OF SYDNEY
SCHOOL OF MATHEMATICS AND STATISTICS
Semester 1
MATH1015 (Biostatistics) Practice QUIZ 2
2016
This is designed for your own practice and revision only.
1. If X N (20, 52 ), then P (20 < X < 24) is closest to (4 dp):
(a) 0.2881
(b)
THE UNIVERSITY OF SYDNEY
SCHOOL OF MATHEMATICS AND STATISTICS
Semester 1
MATH1015 (Biostatistics) - ANSWERS TO Practice QUIZ 1
2016
QUIZ 1 Answers
Do the practice quiz first and then check these answers.
Active and deep learning experience will be forever
THE UNIVERSITY OF SYDNEY
SCHOOL OF MATHEMATICS AND STATISTICS
Semester 1
MATH1015 (Biostatistics) Practice QUIZ 1
2016
Name:.SID.
NOTE: This is designed for your own practice and revision only.
1. The following stem - and - leaf display (stem: ten digit;
THE UNIVERSITY OF SYDNEY
SCHOOL OF MATHEMATICS AND STATISTICS
Semester 1
MATH1015 (Biostatistics) Practice QUIZ 2
2016
This is designed for your own practice and revision only.
Solution to Practice Quiz 2 - 2016
Do the practice quiz first and then check t
8015A SEMESTER 1 2013
1. The stem—and—leaf plot below shows the LDL (Low—density lipoprotein) or bad choles—
terol levels (in milligram per decilitre mg/dL) of two groups of people, 44 smokers and
44 non—smokers.
Smokers l I Non—smokers
10 0 2 2 4 5
11
12
(p mu LE, YOMRSEL F
8015A,SEMESTERﬁ12014 PAGE 7cm‘23 a_———-—-—-*—"’—~”_ﬂ
Extended Answer Section
There are three questions in this section, each with a number of parts. Write your answers
in the space provided below each part. If you need more space there
“To BEZDXSUASSED [N
:’ nsxow)
CCl453A SEMESTER.1 2015 PAGE 701? 21 W
Extended Answer Section
There are three questions in this section, each with a number of parts. Write your answers
in the space provided below each part. If you need more space there are
Faculty of Science
School of Mathematics and Statistics
MATH1015: Biostatistics
Semester 1 , 2015 | 3 Credit Points | Coordinator: Dr Sharon Stephen
([email protected])
1 Introduction
MATH1015 is a 3 credit point unit of study designed to provi
MATH1015 Biostatistics
2015
MATH1015 Biostatistics
MATH 1015: Biostatistics
Week 1/2
MATH1015 - Credit value: 3
1. All information relevant to MATH1015
(Biostatistics) is available at
http:/www.maths.usyd.edu.au/u/UG/JM/MATH1015/
Please visit this site re
School of Mathematics & Statistics
6
School of Mathematics & Statistics
Continuous distributions (Book P.59)
In last week, we have studied discrete (or counts) distributions, and in particular, the binomial distribution. However, there are too many life s
School of Mathematics & Statistics
7
School of Mathematics & Statistics
Parameter estimation (Book P.91)
So far we have studied two main distributions in weeks
1-6. They are
The binomial distribution for discrete data with
two parameters n and p or X B(n
School of Mathematics & Statistics
2.1
School of Mathematics & Statistics
Boxplots (Book P.15-16)
A popular graphical representation (in the form of a
box) of the following information from a sample is
known as a boxplot:
Quartiles Q1 , Q2 and Q3 ,
Smal
School of Mathematics & Statistics
School of Mathematics & Statistics
In parts 8 and 9, we have studied the following hypothesis testing using the data from a single sample
(one-sample):
the one-sample t-test for ;
the one-sample z-test for the populati
School of Mathematics & Statistics
4
School of Mathematics & Statistics
Probability Distributions (Book P.41)
We have studied that probability (or chance) plays an
important role in many decision making problems in
life science. For example, a health depa
School of Mathematics & Statistics
3.3
School of Mathematics & Statistics
Basic Venn Diagrams and Related Results for Events (Book P.34-36)
A group of items is a set. Venn diagrams can be
used to illustrate both set relationships and logical relationships
School of Mathematics & Statistics
8
School of Mathematics & Statistics
Hypothesis Testing
8.1
Introduction
In part 7, weve studied point and interval estimation of population parameters. A special attention
has been paid to the population mean . Construc
School of Mathematics & Statistics
9
School of Mathematics & Statistics
Additional one sample tests
In part 8, we have studied CI (Confidence Intervals)
and the one sample t test for testing the null hypothesis H0 : = 0 , where 0 is the hypothetical popul
School of Mathematics & Statistics
School of Mathematics & Statistics
Now we look at a special discrete distribution, called
the Binomial Distribution. This distribution can be
used in many applications in life science problems.
This is the only discrete
THE UNIVERSITY OF SYDNEY
Semester 1, 2015
Information Sheet for MATH1015 Biostatistics
Websites:
It is important that you check both the MATH1015 website and the Junior Mathematics website
regularly. Both sites may be accessed through Blackboard, or direc
TUTORIAL EXERCISE PACKAGE - 2015
Math1015 - Biostatistics
Semester 1
Tutorial Week 3
2015
For any two events A & B, P (A B) = P (A) + P (B) P (A B).
If the events A & B are mutually exclusive, then P (A B) = 0 and P (A B) = P (A) + P (B).
If the events A
TUTORIAL EXERCISE PACKAGE - 2015
MATH1015 - BIOSTATISTICS
Semester 1
Solution to Tutorial 3
2015
1. Ans: D
x =
1 n
427
= 53.375
xi =
n i=1
8
s2
1 n 2 1
=
x
n 1 i=1 i n
2
n
xi
=
i=1
4272
1
22805
= 1.982143
81
8
2. Ans: C
xi
fi
f i xi
f i x2
i
x=
3.
1
3
3
TUTORIAL EXERCISE PACKAGE - 2015
MATH1015 - BIOSTATISTICS
Semester 1
Solution to Problem Set 1
2015
1. The frequency table:
x
0 1
freq 9 8
2 3 4
4 4 2
5 6
1 1
7 8 Total
1 1 31
2. Ans (b) - Mode is the observation with highest frequency. From the frequency
TUTORIAL EXERCISE PACKAGE - 2015
Math1015 - Biostatistics
Semester 1
Tutorial Week 4
2015
pj = 1.
Let pj be the probabilities associated with a discrete distribution. Then
all
E(X) =
xi p i ;
E(X 2 ) =
i
x2 pi ;
i
j
Var(X) = E(X 2 ) [E(X)]2
i
E(aX + b) =
8015A Semester 1 2013
1. The stem-and-leaf plot below shows the LDL (Low-density lipoprotein) or bad cholesterol levels (in milligram per decilitre mg/dL) of two groups of people, 44 smokers and
44 non-smokers.
Smokers
9 8
9 9 8 6
9 8 8 6 6 6 5
6
8
7
6
5
TUTORIAL EXERCISE PACKAGE - 2015
Math1015 - Biostatistics
Semester 1
Tutorial Week 5
2015
We encourage you to attempt these problems before your tutorial class.
The Binomial Distribution arises when we have n (xed) independent Bernoulli trials each with o