This document summarizes a statistical analysis project on Campus Oxygen (CO2), a student-run venture at IMT Nagpur that provides laundry, printing, and newspaper delivery services. The analysis uses both primary and secondary data. Primary data was collected through a survey of 59 IMT students, and secondary data was obtained from CO2's records over one month. Various statistical methods like mean, median, mode, correlation, and hypothesis testing are applied to analyze CO2's operations and customer satisfaction. The results show that newspaper delivery is the most satisfying service while printing needs improvement. Increasing delivery speed could boost service frequency.
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1. Page1 Analysis of Co2
STATISTICAL BUSINESS DECISION
TERM PROJECT
STUDY OF CO2
SUBMITTED TO
DR. SARABJIT SINGH
LECTURER-STATISTICAL BUSINESS DECISION
SUBMITTED BY
SHYAMLI RAI (2013279)
SIRSA MAJUMDER (2013282)
SOUMITRA KANSABNIK (2013287)
SOURYA BHATTACHARYA (2013288)
TOSHA DUBEY (2013306)
VINEET AGARWAL (2013323)
3. Page3 Analysis of Co2
INDEX
ACKNOWLEDGEMENT---------------------------------------------------------------- 4
1. INTRODUCTION-------------------------------------------------------------------------- 5
2. RESEARCH OBJECTIVE---------------------------------------------------------------- 5
3. METHODOLOGY ADAPTED---------------------------------------------------------- 5
4. TYPES OF DATA USED----------------------------------------------------------------- 5
5. ANALYSIS OF PRIMARY DATA------------------------------------------------------ 10
6. ANALYSIS OF SECONDARY DATA------------------------------------------------- 17
6.1. ANALYSIS NO.1---------------------------------------------------------------------- 17
6.2. ANALYSIS NO.2---------------------------------------------------------------------- 19
6.3. ANAYSIS NO. 3----------------------------------------------------------------------- 20
7. LIMITATIONS FACED-------------------------------------------------------------------- 22
8. SUMMARY---------------------------------------------------------------------------------- 22
9. BIBLIOGRAPHY-------------------------------------------------------------------------- 22
4. Page4 Analysis of Co2
ACKNOWLEDGEMENT
I express my deepest and most sincere thanks to my project guide Dr. Sarabjit Singh, Professor,
IMT Nagpur. The project could not be completed without his able support, knowledge sharing
and guidance, for helping me and providing me with useful information.
I take this opportunity to thank all of my colleagues, without their cooperation it was not possible
to complete this project.
5. Page5 Analysis of Co2
1. INTRODUCTION:
CO2 or Campus Oxygen is a student run venture of IMT Nagpur. It includes laundry service,
printing service and delivery of newspaper available in the campus for the last two years. The
organization has an operation facility in one of the hostel room provided by the college. The
laundry service takes place in one of the washrooms provided by the college.
Different statistical methods have been taken up to give a overall idea about this venture. Study
taking some primary data from the different students of IMT that includes both first year and
second year. Study of some secondary data is done taken from Campus Oxygen owner to study
various activities of their venture.
2. RESEARCH OBJECTIVE:
To use various statistical method in real time ventures started by student managers in the
B-School.
3. METHODOLOGY ADAPTED:
Various Statistical methods are adapted in order to analyze the operation of CO2.Some of them
are as follow:
Quantitative data graphs
Mean, Median & Mode
Correlation & Regression
Hypothesis test (Z-test)
Chi-square test
4. TYPES OF DATA USED:
A survey has been contacted in the IMT-Nagpur campus for 5 days where we got views
of 59 students which we are using as a sample. These 59 students may or may not avail
the services of CO2.
6. Page6 Analysis of Co2
Secondary data collected from CO2 for a period of one month
DAY-WISE NO OF CONSUMERS IN A MONTH
DAY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY
WEEK NO.
1 20 43 25 21 20 33
2 19 33 22 12 43 25
3 16 22 32 41 29 21
4 17 20 13 30 15 5
5 31 16
TOTAL 103 134 92 104 107 84
DAY-WISE NO OF CLOTHES RECEIVED IN A MONTH
DAY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY
WEEK NO.
1 303 585 278 239 270 425
2 215 407 256 182 549 356
3 209 325 384 556 368 299
4 225 271 194 371 243 62
5 449 212
TOTAL 1401 1800 1112 1348 1430 1142
5. ANALYSIS OF PRIMARY DATA
Questionnaire has been made and asked to random students of IMT which fetched us a numerous
data. Most importantly the datas are reduced so that they are more manageable and can be used
to assist decision makers more effectively. The classical methods of analyzing the data are:
Quantitative Data Graphs
Histogram
Frequency Polygon
Ogive
Dot Plot
Stem and leaf plot
7. Page7 Analysis of Co2
Qualitative Data Graphs
Pie charts
Bar charts
Pareto charts
We have used the Qualitative Data Graphs to analyze the data
Summary of the primary data is as follows:
Q1
Have you ever
availed the
services of CO2
?
NO. OF
SELECTION
%age
ANSWER
YES 39 66.10
NO 20 33.90
TOTAL 59
The data analysis clearly shows the popularity of CO2 in the campus. About 66.1 % of the
student avail one or the other services provide by CO2.
Q2
If not which
laundry service
you prefer ?
NO. OF
SELECTION
%age
C 11 18.64
D 6 10.17
Dispensary 7 11.86
Self Wash 21 35.59
CO2 14 23.73
TOTAL 59
0
10
20
30
40
Yes
No
Have you ever availed the services of CO2 ?
Have you ever availed the services
of CO2 ?
8. Page8 Analysis of Co2
The above analysis shows the use of Pie-chart which show the relative magnitudes of the parts to
the whole. Here it is showing that people are more fond of washing their own clothes than giving
it to CO2 where as in the case of laundry service CO2 is way ahead than any other service
available in the campus.
Q3
From where do
you avail the
printing
service?
NO. OF
SELECTION
%age
A 5 8.47
B 8 13.56
C 23 38.98
D 0 0.00
APO Block 20 33.90
CO2 3 5.08
19%
10%
12%
35%
24%
If not which laundry service you prefer ?
C D Dispensay block Self Wash Co2
9. Page9 Analysis of Co2
When the question of printing service arises; printing service of C-block leave others way behind
where as venture of CO2 really lags behind in this case with just 5.08% of popularity.
Q4
Which
newspaper did
you subscribe ?
NO. OF
SELECTION
%age
TOI 4 6.78
ET 32 54.24
BOTH 10 16.95
NONE 13 22.03
The above bar graph analysis shows the differences in popularity of the two types of newspaper
supplied by CO2. Though the demand of Economic Times is way ahead than TOI.
0
5
10
15
20
25
A B C D APO
Blok
CO2
Series1
0
5
10
15
20
25
30
35
TOI ET BOTH NONE
Which newspaper did you subscribe ?
Which newspaper did you
subscribe ?
10. Page10 Analysis of Co2
Q5
Have you
subscribed for
the magazine
'THE
ECONOMIST’?
NO. OF
SELECTION
%age
YES 8 13.56
NO 51 86.44
The above bar graph shows the poor popularity of the magazine ‘THE ECONOMIST’. About
87% of the student didn’t subscribe for this business magazine.
Q6
How will you
rate the
services of
CO2 on a scale
of 1-5; 1 being
the lowest and
5 being the
highest ?
NO. OF
SELECTION
%age
1 2 3.39
2 24 40.68
3 22 37.29
4 6 10.17
5 5 8.47
0
10
20
30
40
50
60
Yes No
Have you subscribed for the
magazine 'THE ECONOMIST' ?
Have you subscribed
for the magazine
'THE ECONOMIST' ?
11. Page11 Analysis of Co2
We have asked students to rate CO2 on the basis of different services provided by them from 1 to
5. About 41% of the students have rated them 2, 37% of the students have rated them 3 which
seems to be a quite poor performance.
Q7
Are you
satisfied with
the services of
CO2 ?
NO. OF
SELECTION
%age
Yes 9 15.25
No 12 20.34
0
5
10
15
20
25
1 2 3 4 5
How will you rate the services of CO2 on
a scale of 1-5; 1 being the lowest and 5
being the highest ?
How will you rate the
services of CO2 on a scale of
1-5; 1 being the lowest and 5
being the highest ?
15%
21%
44%
20%
Are you satisfied with the services of
CO2 ?
Yes
No
So so
Not much
12. Page12 Analysis of Co2
When the question of satisfaction comes from the point of view of customers; the above pie chart
shows that 44% of the students are moderately satisfied, 15% of the students are fully satisfied;
that comprises the maximum part of the student survey.
Q8
Which service
of CO2 satisfy
you the most ?
NO. OF
SELECTION
%age
Laundry Service 18 30.51
Newspaper 25 42.37
Printing 16 27.12
It shows that students are happy mostly with the news paper service whereas printing service is
not so much satisfactory from the point of view of students.
Q9
What will
make you avail
the services of
CO2 more
frequent ?
NO. OF
SELECTION
%age
Ironing service
along with
laundry 12 20.34
Cheaper Rate 15 25.42
Increase speed
of delivery 23 38.98
Varity in
business
magazine 3 5.08
Providing more
frequent offers
for the
customer 6 10.17
0 5 10 15 20 25
Laundry Service
Newspaper
Printing
18
25
16
Which service of CO2 satisfy you the most ?
13. Page13 Analysis of Co2
From the survey conducted it is showing that 39% of the students will avail the service more
frequently if the speed of delivery increases may it be delivery of newspaper or the clothes after
washing. 26% of them will avail it more frequently if the rates become cheaper while very few of
them are interested in wide range of magazine availability.
6. ANALYSIS OF SECONDARY RESULTS
6.1. ANALYSIS NO 1:
THEORY USED: MEAN, MEDIAN & MODE.
MEAN: It is the average of a group of numbers and is compared by summing all numbers and
dividing by the number of numbers. Because the arithmetic mean is so widely used, most
statisticians refer to it simply as the mean.
MEDIAN: It is the middle value in an ordered array of numbers. For an array with an odd
number of terms, the median is the middle number. For an array with even number of terms, the
median is the average of the two middle numbers.
MODE: It is the most frequently occurring value in a set of data. In the case of a tie for the most
frequently occurring value, two modes are listed. Then the data are said to be bimodal.
20%
26%
39%
5%10%
What will make you avail the services
of CO2 more frequent ?
Ironing service along with laundry
Cheaper Rate
Increase speed of delivery
Varity in business magzine
Providing more frequent offers for the customer
14. Page14 Analysis of Co2
OBJECTIVE: Calculating Mean, Median and Mode for the following data which
describes the no. of customers giving different range of the no. of clothes to CO2 for
wash in a particular week.
No. of
clothes
1-5 6-10 11-15 16-20 21-25 26-30 31-35 36-40
No. of
customers
10 43 45 18 5 1 1 4
No. of
clothes
Continuous
distribution
No. of
customers (f)
x fx
Cumulative
frequency
(C)
1-5 0.5-5.5 10 3 30 10
6-10 5.5-10.5 43 8 344 53
11-15 10.5-15.5 45 13 585 98
16-20 15.5-20.5 18 18 324 116
21-25 20.5-25.5 5 23 115 121
26-30 25.5-30.5 1 28 28 122
31-35 30.5-35.5 1 33 33 123
36-40 35.5-40.5 4 38 152 127
Mean = ∑fx/∑f
= 1611/127
= 12.685
Hence, the mean no. of clothes per customers is 12.685 ≈ 13
Median = l1 + (N/2-C)/f x i
= 10.5 + (63.5-53)/45 x 5
=11.67 ≈ 12
Where,
l1 = Lower boundary of median class (here, 11-15)
N = Total frequency
F = Frequency of the Median class
C = Cumulative frequency below l1
I= Interval
Hence, half of all the customers give no. of clothes above 12 and half of them gives no. of
clothes below 12 to CO2 for wash.
15. Page15 Analysis of Co2
6.2. ANALYSIS NO 2:
THEORY USED: CORRELATION
CORRELATION: It is a measure of the degree of relatedness of variables. It can help a
business researcher determine, for example, whether the stocks of two airlines rise and fall in any
related manner.
OBJECTIVE: To study the co-relation between the most used venues for student activities. It is
a rank co-relation using primary data.
elements Printing (X) Laundry (Y) x y D D2
c-block 23 11 1 2 -1 1
d-block 0 6 3 3 0 0
Co2 3 14 2 1 1 1
R= 1 – 6 D2
N (N2-1)
Therefore,
R= 1-6*2/ 3 (9-1)
=0.5
Thus, we see that there is no inclination towards any particular venue for availing its
services. Choice is predominantly based on availability of service, distance from one’s room
and personal biases.
16. Page16 Analysis of Co2
6.3. ANALYSIS NO 3:
THEORY USED: HYPOTHESIS TEST
HYPOTHESIS TEST: A foremost statistical mechanism for decision making is the hypothesis
test. The concept of hypothesis testing lies at the heart of inferential statistics, and use of
statistics to ‘prove’ or ‘disprove’ claims hinges on it.
CHI-SQUARE GOODNESS-OF-FIT TEST: It is used to analyze probabilities of multinomial
distribution trials along a single dimension.
OBJECTIVE a.: To determine whether the no. of clothes given to the CO2 for washes is greater
on one day of the week than on another. The record for one month of the no. of customers’
clothes (data collected from CO2) shows the following distribution:
Day of the
week
Monday Tuesday Wednesday Thursday Friday Saturday
No. Of
Clothes
1401 1800 1112 1348 1430 1142
H0 : no. of clothes given to the CO2 for wash is uniformly distributed.
H1 : no. of clothes given to the CO2 for wash is not uniformly distributed.
Day of the week
Observed value
(O)
Expected Value
(E)
O-E (O-E)2
/E
Monday 1401 1372.17 28.83 0.61
Tuesday 1800 1372.17 427.83 133.39
Wednesday 1112 1372.17 -260.17 49.33
Thursday 1348 1372.17 -24.17 0.43
Friday 1430 1372.17 57.83 2.44
Saturday 1142 1372.17 -230.17 38.61
χ2 = ∑(O-E)2
/ E
= 224.81
17. Page17 Analysis of Co2
Degree of freedom = N-1 = 5
Significance level = 5%
Critical Values of χ2 at Degree of freedom 5 and 5% significance level from the table is 11.0705
As χ2 224.81 lies in the rejection region. So, H0 is rejected.
That means no. of clothes given to the CO2 for wash from Monday to Saturday is not uniformly
distributed. There is a huge fluctuation in the no. of clothes given per day.
OBJECTIVE b.: To determine whether the no. of customers arriving CO2 for giving their
clothes is greater on one day of the week than on another. The record for one month of the
customers (data collected from CO2) shows the following distribution:
Day of the
week
Monday Tuesday Wednesday Thursday Friday Saturday
No. Of
customers
103 134 92 104 107 84
H0 : no. of customers arriving CO2 for giving their clothes is uniformly distributed.
H1 : no. of customers arriving CO2 for giving their clothes is not uniformly distributed.
Day of the week
Observed value
(O)
Expected Value
(E)
O-E (O-E)2
/E
Monday 103 104 -1 9.62X10-3
Tuesday 134 104 30 8.65
Wednesday 92 104 -12 1.38
Thursday 104 104 0 0
Friday 107 104 3 0.69
Saturday 84 104 -20 3.85
χ2 = ∑(O-E)2
/ E
= 13.98
Degree of freedom = N-1 = 5
Significance level = 5%
Critical Values of χ2 at Degree of freedom 5 and 5% significance level from the table is 11.0705
As χ2 13.98 lies in the rejection region. So, H0 is rejected.
That means no. of customers arriving CO2 from Monday to Saturday to give their clothes for wash is not
uniformly distributed. There is a huge fluctuation in the no. of customers per day.
18. Page18 Analysis of Co2
7. LIMITATIONS FACED:
1. Though CO2 helped us in every possible respect but financial data was not available with
us which if available could have made us study more thoroughly the financial analysis.
2. More number of samples could have fetched us more accurate data analysis.
8. SUMMARY
Collecting samples was the most important aspect of this study. Having a number of samples
reducing it by grouping them gave us more clear aspects. Then study has been done with the help
of MS-EXCEL that gave us clearer view of the performance of CO2 in the campus. This study
gave us more practical and real time approach as to how statistics should be used in both macro
and micro level
The study made shows us that performance of CO2 is quite satisfactory and happily acceptable
among the students. Therefore CO2- a successful student’s venture.
9. BIBLIOGRAPHY
1. Black, K.(2013), Applied Business Statistics : Making Better Business Decisions,
International Student version, John Wileys-India Publication
2. Kanji, Gopal K. (2006), 100 Statistical Tests, Vistar Publications, NewDelhi