# QUANTITATIVE LITERACY – INTRODUCTION TO DATA ANALYSIS

QUANTITATIVE LITERACY – INTRODUCTION TO DATA ANALYSIS 150 150 Affordable Capstone Projects Written from Scratch

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QUA301 FOUNDATIONS: QUANTITATIVE LITERACY – INTRODUCTION TO DATA ANALYSIS
ASSIGNMENT 2 2018
DUE Wednesday 18th April 11:59pm
Question 1
Elena, the owner of a Flower Shop, realised the importance of analysing the store’s product sales using statistical analysis while studying Business in college. She has collected some data but is finding it difficult to analyse it. So she has decided to hire you as her consultant.
The data below shows the number of flower bouquets sold in different price ranges.
Amount Spent (£)
No. of Bouquets
0-10
5
10-20
7
20-30
10
30-40
12
40-50
14
50-60
15
60-70
14
70-80
13
80-90
6
90-100
4
a) Mean, Median, Mode and advise her on the best price range for her bouquets (10 marks).
b) Standard deviation (5 Marks).
c) 25th Percentile (Lower Quartile) and 75th Percentile (Upper Quartile) and explain the use of Percentile for her store (5 marks).
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d) Inter-quartile range (5 marks).
Question 2
A consumer organisation is conducting a test on the six leading brands. It is difficult to measure skin irritation accurately but recent research work has produced an acceptable means of doing so. Several factors such as acidity, roughness etc. are measured for a batch of newly washed clothing and an index is formed by weighing and aggregating the results. The table below has more information on the tests.
Irritation index for six leading washing powders
Brand
Household
1
2
3
4
5
6
1
97
106
112
105
101
108
2
102
109
98
93
102
113
3
95
100
101
99
97
104
4
99
104
101
96
100
108
5
98
103
105
99
105
103
6
100
101
103
101
99
104
7
95
99
102
97
101
108
8
96
103
105
99
103
104
9
103
105
108
101
105
110
10
98
99
101
95
100
102
Prepare the analysis of variance table for this data. Using a 5% significance level (the critical value F for [5,54] degrees of freedom is 2.39 from the tables) test whether there is a differences in the levels of irritation caused by the six leading brands of powder. Prepare an ANOVA table. (25 Marks)
Question 3
The Academic’s coffee shop manager has been looking at possible sources of loans for the refurbishment and has identified the following information from public sources:
Source of loan
Less than £20,000
£20,000 – £60,000
More than £60,000
Building Society
40
65
45
Banks
26
33
5
Other
15
8
3
Required:
Carry out an appropriate hypothesis test to find out whether the size of the loan is independent of the source of the loans. Test at 5% significance level (25 Marks).
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Question 4
Consider the following data of number of road deaths per 100,000 population and number of vehicles per 100 population.
Countries
Vehicles per 100 population (x)
Road Deaths per 100,000 Population (y)
Great Britain
31
14
Belgium
32
30
Denmark
30
23
France
46
32
Germany
30
26
Irish Republic
19
20
Italy
35
21
Netherlands
40
23
46
30
U.S.A.
57
35
Required:
a) If the equation of a line is y = a + bx , calculate the equation of the line ( show in a table how the values for a and b can be derived) (15 marks)
b) How many road deaths per 100,000 population are expected if the vehicles per 100 population were 90? (5 Marks)
c) Calculate the correlation coefficient and interpret it.(5 Marks)
END OF PAPER

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