Business Statistics Report: Analysis of Gym Customer Survey Data

This report presents a business statistics analysis of gym customer survey data. It begins with an introduction to business statistics and reviews an article related to gym customer evaluation. The core of the report involves a bivariate analysis of customer survey data, examining the relationship between gender and country, as well as gender and height. Based on the analysis, the report proposes changes to enhance customer satisfaction and engagement. The report then calculates a confidence interval of proportion for customers supporting the proposed changes. The analysis concludes that the proposed changes are supported by a significant portion of the customer base. The report also includes a reference list of relevant sources.

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ASSIGNMENT TITLE: BUSINESS STATISTICS

Table of Contents
Section1: Introduction.....................................................................................................................3
Section2: Review of article..............................................................................................................3
Section 3: Bivariate analysis of customer survey data...................................................................4
Section4: Proposed change..............................................................................................................6
Section 5: Calculation of confidence interval of proportion THAT said YES................................6
Section 6: Conclusion......................................................................................................................7
Section 7: Reference List.................................................................................................................9
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Section1: Introduction
Business based statistics is an important area of statistical analysis which is linked with business
outcomes. It is a very important tool for doing businesses in economic and financial arena where
the basic statistical tools are used in abundance. Not only this have the statistical measures such
as that of central tendency that is mean, median and mode and the measures of dispersion like
standard deviation and mean deviation and others are extremely important indicators for business
performance (Siegel, 2016, p.124). Not only this the hypotheses based on business are analyzed
in terms of t-test which is designed to either validating or invalidating the hypotheses based on
important variables of statistics like confidence intervals and level of significance and others. In
the following analysis, a detail account of gym customers and their responses are included.
However, it is difficult to analyze expectations and physical requirements of gym customers
without having personal details. The following statistical analysis is based on provided personal
details of respective amount of male and females. The resources of statistical analysis include
age, height and other physical criteria.
Section2: Review of article
The value of gym based customer survey may not be fully evaluated in terms of the membership
of customers at the time of survey because the experience level of gym trainers is a must issue
for doing this kind of survey. Again the valuation of customer based membership of gyms is not
fully supported until and unless the perceptions of life are taken into account in the process.
There are several dimensions to evaluate the customer based perception based perceptions or
valuation mechanisms of gyms (Freed et al. 2014, p.124). The customer based evaluation in
gyms is dependent on socio-cultural and socio ethical values which depend on customer
interaction based mechanisms in gyms and fitness centre. Marketing based on society is another
essential determinant of customer evaluation based relationship in fitness based service centers
which are mainly of private origin. For instance the marketing processes based on price
mechanisms and price threshold regulations does take into consideration the value of money
generated in terms of gym member’s fees in form of cash granted to gym administrator in a
monthly basis as an important factor determining customer based evaluation of performance in
gyms and fitness centers of the present world which does create externality on society in which it
is under activation (Zammit, 2015, p.147). For instance the emotional criterion in terms of gym
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membership can be accessed via the entertainment and joy and relax gained by the customers
who regularly refreshes themselves in form of doing different types of exercises in gyms and
fitness centers .Gym based fitness centers is also responsible for adding to social welfare in terms
of optimality of Praetorian origin as fitness provided to customers by gym helps in improving
the quality of life of these members who are otherwise suffering from stress and ill health before
joining fitness centers of quality in abundance.
There are countless articles and journals available on the web having different discussions while
making a review of gym customers, but in order to make specific decision according to location
and atmospheric condition, it is important to have detail account of demography and personal
details of gym customers. The following sections are enriched with the same based on provided
data of gym customers. Based on the same, it will be easier to make recommendations for new
strategies regarding expectations of gym customers.
Section 3: Bivariate analysis of customer survey data
Case 1: Two categorical variables
COUNTRY
GENDER
America Germany
Male 5000 (a) 4934(b)
Female 5063(c) 5003(d)
Total 10063 9937
Table1: Bivariate frequency table between gender and country of customers of gyms
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Male Female
4850
4900
4950
5000
5050
5100
Ameriaca
Germany
Figure2: Bivariate chart between gender and country of customers of gyms
(Source: Created by the Researcher)
N= a+b+c+d =total no. of observations= 20000
Chi –square test of independence:
= N*(ad-bc)^2/{(a+b)*(a+c)*(b+d)*(c+d)}=0.0023
Case 2: Comparison between gender and height
mean height of females
164.9289
mean height of males
175.0474
S.D OF HEIGHT OF FEMALES
11.9021
5
S.D OF HEIGHT OF MALES
11.9021
5
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Section4: Proposed change
The proposed change based on the review of customer analysis or evaluation in terms of their
membership in gyms can be attributed to a variety of factors. The changes are dependent on
verities of social, economic, cultural and ethical phenomenon based on the current conditions of
mindset of modern humans which does hurt the ethnic values of gym based fitness services and
the quantity and quality of their admission procedure of business and services (Selvanathan et al.
2014, p.58). The stress factor is the crucial factor affecting people who are busy or have to
remain busy in daylong work of their professional and unprofessional pattern based lives. Hence
there should be some extra time kept for gyms for each and every customer to be brought in
terms of change in the customer evaluation techniques of gym in terms of survey of statistical
origin in terms of increase in say mean number of people joining all types of gym centers and
service institutions which will surely increase the price based market valuation of gyms in terms
of increased customer participation (Nguyen et al. 2016, p.750). This is because transformed
pattern of customer behavior in terms of their augmented desire to go to gyms contribute hugely
to the money values earned in terms of fees earned by the gym administrators and salaries of
gym trainers. For this reason the price mechanism of gymnasiums in terms of the fee charged by
them to each and every customer joining the same should be so designed that the price charged is
marginal so that people of medium or average classes or people of different strata’s of society
can afford them with ease. Additionally, there should also be proper time segmentation leading
to different workout times in gyms so that people who are very busy in formal terms can afford
them at different hours of the day rather than only on peak hours daily.
Based on the above statistical analysis, some changes are visible, but at the same time, it is
important to analyze available resources of the respective gym. Change management is only
possible if there is additional support of resources as well as proper planning. In the above and
following analysis, required proportion of responses are well established and based on the same
rest of the change management strategies are proposed.
Section 5: Calculation of confidence interval of proportion THAT said YES
p=no. of persons in support or saying yes n=-total no. of persons
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q=no. of persons saying no.
(A
) Proportion of gym customers that support the proposed change
no. of persons telling yes/ total no. of persons
Ans. 0.899995
(B
) 90% CONFIDENCE Interval C.I for proportion and testing the claim that
Mean-(0.90*S.E(SQRT(P*q/
n)))<p<Mean+(0.90*S.E(SQRT(P*q/n))
S.E(Standard
error)= 0.000670835
Ans.
Mean-
0.000670835<0.899995<Mean+0.000670835
t=0.89995-
MEAN/S.E
t=0.89995-MEAN/0.000670835
which is obviously above 50%
As per the above mentioned calculations, we are observing a good proportion of people of
0,899995 are in support of the proposed change that a transmogrification is needed in the
customer evaluation pattern of gyms and in terms of t-testing it is also proved that the proportion
in support of the proposed change are more than half the total percentage thereby rejecting the
hypothetical null hypothesis and accepting a majority decision of customers in favor of the
proposed change (Dancer et al. 2015, p.1820).
Section 6: Conclusion
It can be interpreted from the above statistically manipulated analysis evaluated in terms of
statistical tools that customers of modern era are highly desired to go to gyms to lessen their
stress in terms of both mental and physical origin and they also support the transmogrification or
change behavior of gym based activities which modifies the behavior and structure customer
based membership and cultural pattern of business of gymnasiums. Since the majority decisions
of consumers are biased in favor of transformed pattern of customer membership of gyms as the
t-test value which is the observed value of testing is above 50%. Hence change is vital as per the
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information provided by these statistics in gym based customer services procedures and patterns.
Therefore, it can be said that advanced gym customers are not only searching for efficient
devices and a better environment that can produce inspirations. On the other hand, the
represented statistical value also depicts that change management in gyms and workout points
are also necessary. In the review of the respective article as well as current statistical analysis has
reflected the same concerns.
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Section 7: Reference List
Siegel, A., 2016. Practical business statistics. Academic Press.
Freed, N., Bergquist, T. and Jones, S., 2014. Understanding business statistics. John Wiley &
Sons.
Selvanathan, S., Selvanathan, S. and Keller, G., 2014. Business Statistics: Australia/New
Zealand. Cengage Learning.
Nguyen, T.H., Charity, I. and Robson, A., 2016. Students' perceptions of computer-based
learning environments, their attitude towards business statistics, and their academic achievement:
implications from a UK university. Studies in Higher Education, 41(4), pp.734-755.
Dancer, D., Morrison, K. and Tarr, G., 2015. Measuring the effects of peer learning on students'
academic achievement in first-year business statistics. Studies in Higher Education, 40(10),
pp.1808-1828.
Zammit, D., 2015. A feasible project for improving and developing a local gym (Bachelor's
thesis, University of Malta).
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