ACCG615 Quantitative Methods
Week 6 General Info:
Assignment 1 is due by 10am, 22nd April - during the
mid-semester break. Submission details are on the
front cover. Assignments should be completed groups
of three or four students. You are expected to wo

Exercise 1: Calculate a 95% confidence interval
to estimate the mean daily room rate of five star
hotels in Sydney and confirm that $240 is a
believable value for the population mean.
y = 244
95% CI for :
= 40
= y1.96 / n
= (2441.9640/ 15, 244+1.9640/ 15

Sample Means and Standard Errors ( known)
Exercise 1
Remember: the z-score
represents the number
of standard errors from
the mean
Area below z = 1=0.1587
-1
0
1
z
Area below z = +1=0.8413
P(1 < z < 1) = 0.68
Consider the distribution of sample means. What

Exercise 1
Heidi has recently changed her mobile phone
company and wants to check the best time to ring
the company with any queries or complaints. Over
a one-day period she rings every two hours and
records the time she waits, in seconds, before
being co

Exercise 1
To compare temperatures in the morning and
afternoon on Christmas Day, seven Sydney
beachside suburbs temperatures were recorded.
Time
Manly
Curl
Curl
Dee
Why
Mona
Vale
Avalon
Whale
Beach
Palm
Beach
am
24
22
26
23
26
24
26
pm
28
30
26
29
25
30

Exercise 1
A small company wants to determine whether
residents of a country town in NSW would utilise
a fitness centre they are considering opening up.
From a random sample of 800 residents, 23%
indicate that they would use the fitness centre:
a. What is

Could the mean number of times that children wash
dishes per month differ for the three families?
For the analysis we need only the Between and Within
treatment variations.
2
y
y
)
n
(
Between treatment (SST) = i i
= 3(22 21)2+3(16 21)2+4(24 21)2 = 114
Ex

Lecture 9
Categorical Data Analysis
Testing a population proportion
Goodness of fit test
Test of independence
1
Summary of Lecture 8
Analysis of Variance is the procedure used to
compare population means for two or more groups.
The F-test with (k 1), (n k

Lecture 12
Regression III
Multiple regression
Including categorical predictors
Model reduction
1
Summary of Lecture 11
We continued with examining the relation
between numerical variables:
obtaining the coefficient of determination, r2,
which tells us how

Exercise 1
For the following research questions which do you
think would be the dependent variable and which
would be the independent variable:
i.
Is the weight of a female dependent on
her height?
Y = weight
X = height
ii. Is a cars engine size useful in

Exercise 1
Comment on the distribution of sample
from samples of size two:
Variable
N
Mean
Median
Std. Dev
Min
Max
SampleB
100
51.05
44.17
24.28
26.17
159.25
Variable
N
Mean
Median
Std. Dev
Min
Max
100
51.23
47.49
17.39
28.33
107.66
Sample
Means n=2
Indiv

ACCG615: Week 1 Practical Solution
Question 1
Histograms of Age data
Histogram of Age
Histogram of Age
3.0
5
4
2.0
Frequency
Frequency
2.5
1.5
3
2
1.0
1
0.5
0.0
19
20
21
22
Age
23
24
25
0
18
20
22
Age
24
26
The distribution of ages is fairly symmetric con

Q1
a). Probability Density Function
Binomial with n = 10 and p = 0.18
x P( X = x )
5
0.0176536
b). Cumulative Distribution Function
Binomial with n = 10 and p = 0.18
x P( X x )
3
0.911659
Distribution Plot
Distribution Plot
Binomial, n=10, p=0.18
0.30
0.9

Exercise 1
Heidi has recently changed her mobile phone
company and wants to check the best time to ring
the company with any queries or complaints. Over
a one-day period she rings every two hours and
records the time she waits, in seconds, before
being co

ACCG615: Week 1 Practical Solution
Question 1
Histograms of Mark data
Histogram of mark
Histogram of mark
4
4
3
3
Histogram of mark
7
2
1
Frequency
Frequency
Frequency
6
2
5
4
3
2
1
1
0
10
20
30
40
0
50
10
20
30
40
mark
50
0
60
mark
10
20
30
40
50
60
mark

ACCG615: Week 3 Practical Solution
Question 1
In 2014, the Australian Institute of Health and Welfare reported that 33% of young Australians
aged 15 to 24 were either overweight or obese.
a. Probabilities
b. Find the probability that exactly 8 out of 25 r

Exercise 1
The 2011 Australian census indicated that 77.7%
of Australians had a religious affiliation.
From a random sample of 300 Macquarie
University students 213 of them indicated that
they had a religious affiliation.
Use an appropriate hypothesis tes

Lecture 2
Numerical Descriptive
Summaries
Measures of Centre
mean
median
Measures of Spread
range
standard deviation
interquartile range
Population Distributions
1
1
Review of Lecture 1
Statistics is the science concerned with making
inferences about popu

Lecture 10
Regression I
Dependent and Independent variables
Least Squares Regression Line
Interpreting relations
Testing relations
Making predictions
1
Summary of Lecture 9
We looked at the analysis of categorical data.
If we have one categorical variable

Lecture 7
Two Sample Tests
One Sample Test for Paired Data
Comparing Two Population Means
Independent samples with common spreads
Independent samples with different spreads
Mann Whitney test
1
Summary of Lecture 6
Test statistics have the format:
meas

ACCG615: Week 1 Practical Solution
Question 1
Histograms of Mark data
Histogram of mark
Histogram of mark
4
4
3
3
Histogram of mark
7
2
1
5
Frequency
Frequency
Frequency
6
2
4
3
2
1
1
0
10
30
20
40
0
50
10
30
20
mark
40
50
0
60
mark
10
20
30
40
50
60
mark

ACCG615: Week 4 Practical Solution
Central Limit Theorem for Sample Means
If we take random samples of the same size, n, from a population and
record information on an interval variable from each sample. When these
samples are drawn from a population wher

ACCG615: Practical 5 Solution
Question 1
Descriptive Statistics: Price
Histogram of Price
5
N
30
N*
0
Mean
98.53
StDev
23.99
Minimum
52.00
Median
100.00
Maximum
138.00
Price appears to be approximately normally distributed
with prices ranging from around

.
Question 3 (15 marks)Page limit: 3 pages. This should include
body of your report and appropriate MINITAB output. Unemployment is
a major focus of policy planners and politicians, both at federal and
state government levels in Australia. There are many

ADDITIONAL PRACTICE QUESTIONS TOPIC 1
These questions are for your additional practice at home.
1.3 A bank manager with 12000 customers commissions a survey
to gauge customer views on internet banking which would incur
lower bank fees. In the survey, 21%