1. Week 1 Tutorial: Foundation Mathematics for Business Statistics
Week 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”.
WHAT IS STATISTICS?

2. 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 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
Threshold assessment system is based on identifying and testing students on key fundamental concepts that contribute to acquiring knowledge of a subject. The threshold assessment system is based on identifying specific topics/concepts and testing students in these topics in a manner such that a student can demonstrate “faultless” understanding of a threshold in terms of application of theory and analytical abilities.
You can read previous questions about thresholds on the relevant forum of the discussion board on UTS online. If your question is still unanswered then post your question.

3. THRESHOLD ASSESSMENT WEEK 5 WEEK 9 WEEK 11 MARKS QUIZ 1 QUIZ 2
“MAKE-UP QUIZ
FINAL EXAM
TH 1
10 marks
10 marks
TH 2
TH 3
10 marks
10 marks
TH 4
TH 5
This objective of threshold assessment and demonstration of “faultless” understanding translates to obtaining either a full score (e.g. 10/10) or zero score if student lags in either theoretical understanding or analytical abilities.
TH1-TH4 : Each of these threshold will be tested as one question with 1 to max 2 subparts; student can obtain either 10/10 OR 0/10. No part marks.
TH5-TH6: Each of these threshold will be tested as one question with 1 to max 5 subparts; student can obtain part marks for sub-parts that are correctly answered. Part-marking is allowed since there is no second opportunity for TH5 and TH6.
20 marks
TH 6
20 marks
Assignment
20 marks
= alternate opportunity to achieve marks for TH1 and TH2
100 marks
= alternate opportunity to achieve marks for TH3 and TH4

5. 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 Note that sign up is not open until week 1, as it’s voluntary and only students who want to go should sign up To Sign Up to these groups go to this website: helps-booking.uts.edu.au
Maths Study CB Free drop-in one on one consultation tutoring on math/stats related questions 11am to 5pm on weekdays
Online resources such as youtube or
Discussion Board on UTS Online
Mon
09:00-10:00 CB
10:00-11:00
11:00-12:00
14:00-15:00
16:00-17:00
17:00-18:00
Tue
18:00-19:00
Wed
CB05C
12:00-13:00
15:00-16:00
CB05C

6. 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.

7. Question 2: Converting Units of Measure
a) 12.5 hours minutes =
b) 26km/h + 4 m/s =
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 by 3600 to give you 26000m/h in terms of m/s.

8. 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.

9. Question 4: Indices Rules
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.

10. Question 5: Converting Decimals to Percentage to Fractions
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 top and bottom of this fraction by the value that will give us an integer in the numerator. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.). Then simplify the fraction.

11. Question 6: Mathematical Notation
Because superscripted exponents like 107 cannot always be conveniently displayed, the letter E is often used to represent "times ten raised to the power of" (which would be written as "× 10n") and is followed by the value of the exponent; in other words, for any two real numbers m and n, the usage of "mEn" would indicate a value of m × 10n.

12. Question 7: Factorial ! If n=10, p=5 , y=0, Find n!, p! and y!
For the same values calculate p!/[(n-p)!]=
NOTE: To find out why 0!=1 go to

13. Question 8: Exponential functions
On the calculator:

14. In statistics we usually want to statistically analyse a population but collecting data for the whole population is usually impractical, expensive and unavailable. That is why we collect samples from the population (sampling) and make inferences about the population parameters using the statistics of the sample (inferencing) with some level of accuracy (confidence level).
A population is a collection of all possible individuals, objects, or measurements of interest. A sample is a subset of the population of interest.