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STAT10050
Week
Lecture
Topic
Code
Topic
Learning Goals
1
1
A
Introduction and
Motivation
2
B
Statistical Concepts:
Samples and
Populations, Variability,
Bias in Questions and
Bias in Sampling,
Types of Variables and
Data
The students will know the
following: the difference between
sample and population; spread in
data set; how to word questions
correctly in questionnaire; how to
avoid mistakes in sampling; the
different types of variables and
data.
2
3,4
C
Collecting Data 1:
Sampling and surveys
The students will discover the
different types of sampling. They
will also know how to carry out
surveys in a correct manner, and
identify when there is misleading
information from surveys in the
newspapers.
2,3
4,5
D
Collecting Data 2:
Experiments and
Observational Studies
The students should identify the
difference between
observational studies and
experimental studies, and the
various different methods used
in each of these.
3,4
6,7
E
Summarising Data 1
Numerical Summary
Measures – Mean,
Median, Mode,
Trimmed Means,
Quartiles, Percentiles,
Range, Variance,
Standard Deviation,
Inter-quartile Range
The students will know how to,
calculate these quantities, and be
able to use them to make
statements about a data set.
4
7,8
F
Summarising Data 2
Graphical Techniques
for Displaying Data –
Stem and Leaf Plots,
Histograms, Box Plots
The students will know how to,
construct these various graphical
techniques, and display data
visually. They will be able to
identify when each is used.
5
9,10
G
Probability Concepts:
Probability of Events,
The students will familiarise
themselves with different axioms
STAT10050
Probability for Discrete
and Continuous Random
Variables (probability
distribution function,
probability density
function)
of probability. They will know the
difference between discrete and
Continuous Random Variables, and
how to calculate their respective
probabilities.
6
11,12
H
Particular Probability
Distributions: Bernoulli,
Binomial, Geometric,
Negative Binomial and
Normal Distributions.
The students will discover how to,
identify the different distributions,
and calculate their respective
probabilities.
7
13
I
Sampling Distributions
and the Central Limit
Theorem.
The students will discover how to
form a distribution, and the
different issues with small and
large sample.
7,8,9
14,15,16,17
J
Margin of Error,
Confidence Interval
Estimation for
population mean and
proportion using a single
sample.
The students will discover how to
calculate these quantities. They
will also know how to interpret
them.
Hypothesis testing:
Principle of a
Hypothesis Test, Errors
in Hypothesis Testing,
P-values, Tests for
population means and
proportions in a single
sample
The students will know the
following: different steps and
errors involved in Hypothesis
Testing; how to calculate P-values
from the statistical tables; when to
use the t-Distribution or normal
Distribution function, how to
calculate the t or z statistic; how to
carry out the Tests for population
means and proportions in a single
sample.
9,10,11,12 18,19,20,21,22,23 K
12
24
L
Summary