Statistics Assignment: Australian Exports Analysis, Analysis of Sales, Estimation and Testing Significance Level

Statistics
Student Name:
Instructor Name:
Course Number:
1st May 2019

Question 1: Australian Exports Analysis
(a) Use an appropriate graphical technique to compare the value of Australian exports (in A$
bn) in 2004-05 and 2014-15, broken down by country of export destination. (1 mark)
Answer
(b) Use an appropriate graphical technique to compare the percentage value of Australian
exports (in %) in 2004-05 and 2014-15, broken down by country of export destination. (1
mark)
Answer

(c) Comment your observations in parts (a) and (b). (2 marks)
Answer
The first graph clearly shows that the Australian exports were higher in 2014-15 as
compared to 2004-05 with china taking the lead destination country in 2014-15 while
Japan being the lead export destination country in 2004-05 followed by China.
The second graph shows that in 2014-15, China and Japan accounted for more than 60%
of Australian’s total export destination countries while in 2004-05, it four countries
(Japan, China, USA and Republic of Korea) accounted for more than 60% of the
Australian’s export destination countries. The two graphs combined shows that China has
of late been a key player in Australian’s exports.
Question 2: Analysis of sales of a product
The following data are the 40 days umbrella sales from a store.
63 74 42 65 51 54 36 56 68 57
62 64 76 67 79 61 81 77 59 38
84 68 71 94 71 86 69 75 91 55
48 82 83 54 79 62 68 58 41 47
a. Construct a frequency distribution and a relative frequency distribution for the data.
(2 marks)
Answer
Classe
s
Frequenc
y
Relative
Frequency
30-40 2 5
40-50 4 10
50-60 8 20
60-70 11 27.5
70-80 8 20
80-90 5 12.5
90-100 2 5

Total 40 100
b. Construct a cumulative frequency distribution and a cumulative relative frequency
distribution for the data. (2 marks)
Answer
Classes Frequenc
y
Relative
Frequency
Cumulative
Frequency
Cumulative
Relative
Frequency
30-40 2 5 2 5
40-50 4 10 6 15
50-60 8 20 14 35
60-70 11 27.5 25 62.5
70-80 8 20 33 82.5
80-90 5 12.5 38 95
90-100 2 5 40 100
Total 40 100
c. Plot a relative frequency histogram for the data. (1 mark)
Answer
d. Construct an ogive for the data. (1 mark)