ETF2121/ETF5912: Data Analysis in Business
Week 05 Exercise Solutions
STATISTICAL INFERENCE FOR TWO POPULATIONS
ESTIMATION
5.1
A
n1 = 40
x 1 = 5.3
12 = 1.99
B
n2 = 37
x 2 = 6.5
22 = 2.36
For a 95% C.I., z/2 = z.025 = 1.96
( x1 x2 ) z / 2
12 2 2
1.99 2.36
ETF2121/ETF5912: Data Analysis in Business
Week 06 Exercise Solutions
6.1
(a)
Anova: Single Factor
SUMMARY
Groups
Market Return 1
Market Return 2
Market Return 3
ANOVA
Source of Variation
Between Groups
Within Groups
Count
5
5
5
SS
Total
Sum
Average Varia
TOPIC 7 CORPORATE MANAGEMENT
[7.0] Who is a director?
SECTION 9 DEFINITION
A person who is appointed to the position; or
Those that act in the position of a director even though they have not been
appointed to that position (De facto directors); or
o Re
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TOPIC 9 DIRECTORS DUTIES
[9.0] Duties of directors
FIDUCIARY DUTIES
Directors have a fiduciary relationship with their company and therefore owe
fiduciary duties (common law) to their company which includes them to:
o Act in good faith in the best intere
5 key points Week 1
1. Scarcity leads to choice, which leads to opportunity costs. Buyers and sellers make choices
and interact with each other in markets.
2. Trade leads to gains because it allows goods and services to be reallocated in a way that
improv
ECF1100 - Tutorial week 6: answers to End-of-Chapter Problems and
Applications
Written answers to problems 4, 5, 13, 15 and 16 of chapter 6
Chapter 6
Question 4
To maximise utility, John needs to make sure that the marginal utility per dollar is the same
ECF1100 - Tutorial week 4: answers to End-of-Chapter Problems and
Applications
Written answers to problems 2, 5, 6, 8, 17 and 19 of chapter 4
Chapter 4
Question 2
Elasticity = (percentage change in quantity)/(percentage change in price) = 3%/4% = 0.75. Be
ECF1100 - Tutorial week 3: answers to End-of-Chapter Problems and
Applications
Written answers to problems 1, 10, 11, 13, and 15 of chapter 3
Chapter 3
Question 1
a. substitutes
b. complements
c. substitutes
d. probably unrelated.
Question 10
The students
ECF1100 - Tutorial week 2: answers to End-of-Chapter Problems and
Applications
Written answers to problems 2, 4, 12, and 16 of Chapter 1
Chapter One
Question 2
Yes, even Bill Gates faces scarcity because his wants exceed his resources. Gates has establish
ETF2121/EFT5912 Data Analysis in Business
Week 11 Exercise Solutions
Regression Analysis: Diagnostic and Other Checks
11.1
Refer to the spreadsheet w11.1_sol.xlsx
a)
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.8261
R Square
0.6824
Adjusted R Squar
0
ETF2121/ETF5912: Data Analysis in Business
Week 10 Exercise Solutions
REGRESSION ANALYSIS: NON-LINEAR REGRESSION
10.1
Refer to the spreadsheet
w10_1_sol.xlsx.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.9990
R Square
0.9980
Adjusted R Square
0.9974
CH
HI-SQUARED DI
ISTRIBUTION: CRITICAL VALU
C
UES
For a particular nu
umber of degrees of
freedom , each entry represents the
value of
Pr 2 2
crit
esponding to a
corre
2
specified upper tai area .
il
2
crit
Upper Tail Areas,
1
2
3
4
5
6
7
8
9
10
11
12
Standard Normal Cumulative Probability Table
Cumulative probabilities for NEGATIVE z-values are shown in the following table:
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.000
T-12 Tables
Probabilityp
Table entry for p is the
critical value F* with
probability p lying to
its right. I”
TABLE E
F critical values
39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86
161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54
64
ETF2121/ETF5912: Data Analysis in Business
Week 02 Exercise Solutions
Sampling
Solutions to Exercises 2.1, 2.2, 2.3, 2.4
Refer to the following spreadsheet solutions w02_1sol, w02_2sol, w02_3sol, w02_4sol
2.5
i.
ii.
A union membership list for the company
ETF2121/ETF5912: Data Analysis in Business
Week 03 Exercise Solutions
Sampling Distributions
3.1 N = 1500
n = 100
= 10,500
= 600,000
P( X > $303,000)
603,000 600,000
x
z =
= 2.96
=
N n 10,500 1500 100
1500 1
100
n N 1
P ( X > 603,000) = P (Z > 2.96) =
ETF2121/ETF5912: Data Analysis in Business
Week 07 Exercise Solutions
7.1 Refer to the Spreadsheet w07_1_sol.xlsx for all calculations
Observed Frequencies
Workers
Blue-collar
White-collar
112
23
53
25
165
48
Mode of Negotiation
Collective Bargaining
Indi
ETF2121/ETF5911: Data Analysis in Business
Week 09 Exercise Solutions
9.1 Refer to the spreadsheet w09_1_sol.xlsx
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.9448
R Square
0.8927
Adjusted R Square
0.8853
Standard Error
133.1365
Observations
32
ANOVA
ECF1100 - Tutorial week 5: answers to End-of-Chapter Problems and
Applications
Written answers to problems 1, 4, 8, 12 and 19 of chapter 5 + problem 4 in Appendix of
chapter 5
Chapter 5
Question 1
a. As the supply curve shifts inward from S1 to S2, consum