26134 Business Statistics
Mahrita.Harahap@uts.edu.au
Week 1 Tutorial: Foundation
Mathematics for Business Statistics
1
The objective of this tutorial is for students to identify gaps
in their maths knowledge early so they don’t make errors
and little mistakes that will cost them marks in other
assessments. Please go through the PowerPoint file
“Calculator”.
BSTATS-KEY ASSESSMENT ITEMS
“THRESHOLD CONCEPTS”
THRESHOLD
WEEK
THRESHOLD CONCEPT 1 (TH1): Identifying relevant data, understanding
measurement properties of data
WEEK 1
THRESHOLD CONCEPT 2 (TH2): Understanding Data and summarizing data
WEEK 2
THRESHOLD CONCEPT 3 (TH3): Relating variables and analyzing relationships
between variables
WEEKS 3-5
THRESHOLD CONCEPT 4 (TH4): Theoretical foundation of statistical inferenceUnderstanding events and using data to calculate the probability of occurrence
of an event.
WEEK 7
THRESHOLD CONCEPT 5 (TH5): Theoretical foundation of statistical inference:
Collecting samples and drawing inference
WEEK 10
THRESHOLD CONCEPT 6 (TH6): Theoretical foundation of statistical inference:
Building interval estimates and constructing hypothesis for statistical inference
WEEKS 1112
2
Subject Outline-Highlights
ASSESSMENT FORMAT
INDIVIDUAL
ASSIGNMENT
WEIGHTAGE DUE DATE
20%
Submission due
in Week 7
Submission in
your tutorial
session only.
NOTE: Late assignment submissions will be accepted only in Week 9 and attract 10%
penalty.
QUIZ
SHORT ANSWER, CLOSED
40%
BOOK
QUIZ 1
20 minutes
Week 3
QUIZ 2
20 minutes
Week 9
FINAL EXAM
SHORT ANSWER, 1 HOUR,
40%
Final Exam
CLOSED BOOK EXAM,
Period (June
2015)
For Quizzes and Final Exam: You are allowed to carry only a calculator. Formula sheet
will be provided in the question paper.
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THRESHOLD ASSESSMENT
WEEK 3
WEEK 9
WEEK 13
QUIZ 1
QUIZ 2
“MAKE-UP FINAL EXAM
QUIZ
TH 1
TH 2
TH 3
TH 4
MARKS
10 marks
10 marks
10 marks
10 marks
TH 5
20 marks
TH 6
20 marks
Assignment
20 marks
= alternate opportunity to achieve marks for TH1 and TH2
4
= alternate opportunity to achieve marks for TH3 and TH4
100 marks
Student Resources
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UPASS - is a voluntary “study session” where you will be studying the subject with other
students in a group. It is led by a student who has previously achieved a distinction or high
distinction in that subject, and who has a good WAM. You can sign up for U:PASS sessions in
My Student Admin https://onestopadmin.uts.edu.au/. Note that sign up is not open until
week 1, as it’s voluntary and only students who want to go should sign up
Maths Study Center @ CB01.16.15
Free drop-in one on one consultation tutoring on math/stats related questions 11am to 5pm
on weekdays
Online resources such as youtube or www.khanacademy.org
Discussion Board on UTS Online
Question 1: Order of
mathematical operation
BIDMAS: Brackets, Indices, Division and Multiplication, Addition and Subtraction
NOTE: in b), when there is a divisor line, it instructs you
to treat the quantity above the numerator as if it were
enclosed in a parenthesis, and to treat the quantity
below the numerator as if it were enclosed in yet
another parenthesis.
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Question 2: Converting Units of
Measure
a) 12.5 hours + 43.2 minutes =
NOTE: To turn hours into minutes, there are 60 minutes
in an hour, so multiply 12.5 by 60 and you will get 12.5
hours in terms of minutes.
b) 26km/h + 4 m/s =
NOTE: There are 1000 meters in a kilometer. So
multiply 26 by 1000 to give you 26km in terms of
meters. There are 3600 seconds in an hour, so to turn
m/h into m/s, divide 26000 by 3600 to give you
26000m/h in terms of m/s.
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Question 3: Square Root
REMEMBER: (from q1) when
there is a divisor line, it instructs
you to treat the quantity above the
numerator as if it were enclosed in
a parenthesis, and to treat the
quantity below the numerator as if
it were enclosed in yet another
parenthesis.
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Question 4: Indices Rules
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NOTE: in d), mathematicians define y^0 = 1 in order to make the laws of
exponents work even when the exponents can no longer be thought of as
repeated multiplication. For example, (y^3)(y^5) = y^8 because you can
add exponents. In the same way (y^0)(y^2)=y^2 by adding exponents. But
that means that y^0 must be 1 because when you multiply y^2 by it, the
result is y^2. Only y^0 = 1 makes sense here.
Question 5: Converting Decimals
to Percentage to Fractions
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NOTE: this is a very fundamental concept and often very handy to simplify
and solve problems. From decimals to percentage, multiply by 100. From
decimals to fractions, divide the decimal form by 1 then multiply both top
and bottom by 10 for every number after the decimal point. (For example, if
there are two numbers after the decimal point, then use 100, if there are three
then use 1000, etc.)
Question 6: Mathematical
Notation
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Question 7: Factorial !
a) If n=10, p=5 , y=0, Find n!, p! and y!
NOTE: To find out why 0!=1 go to
http://mathforum.org/library/drmath/view/57128.html
b) For the same values calculate p!/[(n-p)!]=
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Question 8: Exponential functions
On the calculator:
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