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Asia Pacific International College Pty Ltd. Trading as Asia Pacific International College
55 Regent Street, Chippendale, Sydney 2008: XXXXXXXXXX
PRV12007; CRICOS 03048D
Unit Code and Title: SBM3103 Mathematics and Statistics
Assessment Overview
Assessment Task Weighting Due Length ULO
Assessment 1: Quiz
In this assessment task student
will sit for online quiz in week
3. This is an individual
assignment.
10% Week 3 30 minutes [ULO1]
Assessment 2: Case Study
In this assessment task student
will analyse data collected from a
usiness case. This is an
individual assignment.
20% Week XXXXXXXXXXwords [ULO1], [ULO2],
[ULO3], [ULO4]
Assessment 3:
Log/Workbook
This assessment task is a
weekly recording of the inside
gained through a series of
tutorial exercises. This is an
individual task. Please find on
Canvas for detailed
description.
30% Weekly
(Week 1
to Week
10)
15 hours
tutorial work
[ULO1], [ULO2],
[ULO3], [ULO4]
Assessment 4: Statistical
Data Analysis
In this assessment task
students will perform
statistical data analysis
ased on a data set
provided. The data can be
downloaded from Canvas
under the Assessment 4
Task. This assessment task
is an individual task.
40% Week XXXXXXXXXXWords [ULO1], [ULO2],
[ULO3], [ULO4]
Assessment Details
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Asia Pacific International College Pty Ltd. Trading as Asia Pacific International College
55 Regent Street, Chippendale, Sydney 2008: XXXXXXXXXX
PRV12007; CRICOS 03048D
Assessment 1: Quiz
Due date: Week 3
Group/individual: Individual (In class during tutorial session)
Word count / Time provided: 30 minutes
Weighting: 10%
Unit Learning Outcomes: [ULO1]
Assessment Details:
Quiz questions will be based on the materials covered in lectures and tutorials as well as
those assigned in these sessions. Quiz questions will be similar to tutorial questions and
will require use of a calculator. Multiple choice, short answer questions and quantitative
problems may be included in the quiz.
Marking Information: The quiz will be marked out of 100 and will be weighted 10% of the total
unit marks.
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Asia Pacific International College Pty Ltd. Trading as Asia Pacific International College
55 Regent Street, Chippendale, Sydney 2008: XXXXXXXXXX
PRV12007; CRICOS 03048D
Assessment 2: Case Study
Due date: Week 7
Group/individual: Individual
Word count / Time provided: 1000 Words
Weighting: 20%
Unit Learning Outcomes: [ULO1], [ULO2], [ULO3], [ULO4]
Assessment Details:
The SBM3103 assessment task 2 is worth of 20% of the overall assessment in the unit. This
assignment is an individual one and should be your own work.
Timeframe and Submission:
A copy of your report must be uploaded no later than 11:59 pm on Sunday of Week 8 on the Canvas
in assignment section. Unless approval for an extension is given on medical grounds (supported by a
medical certificate) there will be a penalty of 10% of the maximum marks per calendar day for late
submission of assignments. Although you will be provided with guidance with regard to addressing
the assignment tasks, you will need to complete the tasks in your own time.
Part I: Can Recycled Materials Be Used in Electrical Devices?
Electronic devices contain electric circuits etched into wafers made of silicon. These silicon wafers are
sealed with an ultrathin layer or silicon dioxide., in a process known as oxidation. This can be done
with either new or recycled or recycled wafers.
In a study described in the book Statistical Case Studies for Industrial Process Improvement by V.
Czitron and P. Spagon, both new and recycled wafers were oxidized, and the thicknesses of the layers
were measured to determine whether they tended to differ between the two types of wafers.
Recycled wafers are cheaper than new wafers, so the hope was that they would perform at least as
well as the new wafers. Following are 36 thickness measurements (in tenths of a nanometre) for both
and recycled wafers.
New
XXXXXXXXXX XXXXXXXXXX96.0
XXXXXXXXXX XXXXXXXXXX92.4
XXXXXXXXXX XXXXXXXXXX94.3
XXXXXXXXXX XXXXXXXXXX94.5
Recycled
XXXXXXXXXX XXXXXXXXXX93.3
XXXXXXXXXX XXXXXXXXXX93.6
XXXXXXXXXX XXXXXXXXXX92.6
XXXXXXXXXX XXXXXXXXXX 93.1
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Asia Pacific International College Pty Ltd. Trading as Asia Pacific International College
55 Regent Street, Chippendale, Sydney 2008: XXXXXXXXXX
PRV12007; CRICOS 03048D
Answer the following questions:
1. Construct comparative boxplots for the thickness of new wafers and recycled wafers.
2. Identify any outliers in the redrawn boxplots. Should any of these be deleted? Explain.
3. Are the distributions of thickness skewed, or approximately symmetric?
4. Delete outliers as approximate and compute the mean, median and standard thickness for
new and recycled wafers.
5. Suppose that it is desired to use the type of wafer whose distribution has less spread.
a. Write a
ief paragraph that explains which types of wafer to use and why.
. Which measure is more useful for spread in this case, the standard deviation or the
interquartile rangers?
Part II: Can Recycled Materials Be Used in Electrical Devices?
The following table is a life table which is used by Life Insurance companies to determine how much
to charge for life insurance policies.
United States Life Table, Total Population
Age Interval Proportion Surviving
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
The column labelled “Proportion Surviving” gives the proportion of people alive at the beginning
of an age interval who will still be alive at the end of the age interval. For example, among those
cu
ently age 20, the proportion who will still be alive at age 30 is XXXXXXXXXXor 99.050%.
Answer the following questions:
1. From the table, find the conditional probability P(Alive at age 20 | Alive at age 10)
2. Find the probability that a person aged 20 is still alive at age 100.
3. Find the probability that a person aged 50 is still alive age 70.
4. Which is more probable, that a person aged 20 is still alive at age 50, or that a person aged 50
is still alive at age 60?
5. A life insurance company sells term insurance policies. These policies pay $100,000 if the
policyholder dies before age 70 but pay nothing if a person is still alive at age 70. If a person
uys a policy at age 40, what is the probability that the insurance company does not have to
pay?
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Asia Pacific International College Pty Ltd. Trading as Asia Pacific International College
55 Regent Street, Chippendale, Sydney 2008: XXXXXXXXXX
PRV12007; CRICOS 03048D
Marking Information: The mid-semester test will be marked out of 100 and will be weighted 20%
of the total unit marks.
Marking Criteria Not satisfactory
(0-49%) of the
criterion mark)
Satisfactory
(50-64%) of the
criterion mark
Good
(65-74%) of the
criterion mark
Very Good
(75-84%) of the
criterion mark
Excellent
(85-100%) of the
criterion mark
Theoretical
understanding (20
Marks)
All the questions in
Part I and Part II are
not co
ectly
answered.
Some questions are
co
ectly answered
ut most questions
are partially co
ect.
Majority of the
questions are
co
ectly answered
ut significance of the
esult is not explained
Majority of the
questions are
co
ectly answered,
and significance of the
esult is explained
All questions are
co
ectly answered,
and significance of the
esult is well
explained to show its
practical relevance.
Problem set-up in
Excel (30 marks)
Fail to set-up problem
co
ectly in excel
Problem is co
ectly
set-up but all other
elevant information,
label and formula
syntax is missing.
Problem is co
ectly
setup in excel with all
elevant information,
ut formula syntax is
missing.
Problem is co
ectly
setup in excel; all
elevant formulas are
shown with co
ect
syntax, but labels are
missing
Problem is co
ectly
set-up in excel with all
elevant information
and labels. All relevant
formulas are shown
with co
ect syntax
Simulation and result
(30 marks)
No simulation is
performed
Some part of
simulation is co
ect
Most part of the
simulations are
co
ect.
Co
ect simulation but
minor e
or in result.
Excellent simulation
with co
ect result.
Result
interpretation (20
marks)
No interpretation of
esult is presented
Average
interpretation of
esults; no use of
elevant to statistical
terminologies; fail to
show the implication
of result on a given
problem
Good interpretation
of results using
elevant to statistical
terminologies but fails
to show the
implication of result
on a given problem.
Interpretation of
esults is well
presented to using
elevant statistical
terminologies but fails
to show the
implication of result
on a given problem.
Excellent
interpretation of
esults using relevant
to statistical
terminologies; show
the implication of
esult on a given
problem.
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Asia Pacific International College Pty Ltd. Trading as Asia Pacific International College
55 Regent Street, Chippendale, Sydney 2008: XXXXXXXXXX
PRV12007; CRICOS 03048D
Assessment 3: Log/Workbook