26134 Business Statistics Mahrita.Harahap@uts.edu.auWeek 1 Tutorial: Foundation

Mathematics for Business Statistics 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”.1

BSTATS-KEY ASSESSMENT ITEMS

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“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 inference-Understanding 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 11-12

Subject Outline-Highlights

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ASSESSMENT FORMAT WEIGHTAGE DUE DATEINDIVIDUAL ASSIGNMENT

20% Submission due in Week 7Submission in your tutorial session only.

NOTE: Late assignment submissions will be accepted only in Week 9 and attract 10% penalty.

QUIZ SHORT ANSWER, CLOSED BOOK

40%

QUIZ 1 20 minutes Week 3QUIZ 2 20 minutes Week 9FINAL EXAM SHORT ANSWER, 1 HOUR,

CLOSED BOOK EXAM, 40% Final 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.

THRESHOLD ASSESSMENT

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TH 1

TH 5

TH 3

TH 4

TH 2

TH 6

WEEK 3 WEEK 9 WEEK 13

QUIZ 1 QUIZ 2 FINAL EXAM“MAKE-UP QUIZ

MARKS

10 marks

10 marks

20 marks

10 marks

10 marks

20 marks

Assignment 20 marks

100 marks

= alternate opportunity to achieve marks for TH1 and TH2

= alternate opportunity to achieve marks for TH3 and TH4

Student Resources• 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 @ CB01.16.15Free 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

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Question 1: Order of mathematical operation

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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.

Question 2: Converting Units of Measure

a) 12.5 hours + 43.2 minutes =

b) 26km/h + 4 m/s =

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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.

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.

Question 3: Square Root

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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.

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!

b) For the same values calculate p!/[(n-p)!]=

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NOTE: To find out why 0!=1 go to http://mathforum.org/library/drmath/view/57128.html

Question 8: Exponential functions

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On the calculator: