Statistics and Research Methods for Business Decision Making

1
Statistics and Research Methods for Business
Decision Making

2
ANSWER 1:
a) Clustered Bar chart for comparison of CO2 emission of 2009 and 2013, by producer
countries.
Figure 1: Clustered Bar chart for comparison of CO2 emission of 2009 and 2013
b) Clustered Bar chart for comparison of percentage of CO2 emission of 2009 and
2013, by producer countries.
Figure 2: Clustered Bar chart for comparison of % CO2 emission of 2009 and 2013

3
c) Figure 1 in part (a) indicates that CO2 emission has increased in India, and radically
in China. Figure 2 in part (b) describes that CO2 emission in China increased to
40.13% in 2013 from 25.97% in 2009. Again, a 2.35% increase in CO2 emission is
also noted for India. Interestingly, decrease in CO2 emission in the United States
(volume as well as in percentage) is noted. CO2 emissions in rest of the countries in
the sample are noted to decline in 2013 compared to 2009.
ANSWER 2:
a) Frequency distribution and Relative Frequency distributions of time to weld a car.
Table 1: Frequency & Relative Frequency Distribution Table
Classes Frequency Relative Frequency
35-44 3 0.075
45-54 4 0.1
55-64 9 0.225
65-74 18 0.45
75-84 4 0.1
85-94 1 0.025
95-104 1 0.025
Total 40 1
Table 2: Excel formula snapshot for relative frequency distribution

4
b) Cumulative Frequency distribution and Cumulative Relative Frequency distribution
of time to weld a car.
Table 3: Cumulative Frequency distribution and Cumulative Relative Frequency Table
Classes Frequency Relative Frequency Cumulative Frequency Cumulative Relative
Frequency
35-44 3 0.075 3 0.075
45-54 4 0.1 7 0.175
55-64 9 0.225 16 0.4
65-74 18 0.45 34 0.85
75-84 4 0.1 38 0.95
85-94 1 0.025 39 0.975
95-104 1 0.025 40 1
Total 40 1
Table 4: Excel formula snapshot for cumulative and cumulative relative frequency distribution
c) Histogram of relative frequency for is time to weld a car in Figure 3.
Figure 3: Histogram of Relative Frequency for time to weld car