Customer Survey Data In A Gym

Questions: 1.Reviewing academic source(s) or website(s) relevant to the survey of gym customers. 2.Include at least one bivariate analysis that shows the relationship between two variables. 3.Make a proposed changed based on your review of academic sources and bivariate analysis.4.Analyze the survey data related to the proposed change.5.Discuss the abuses of statistics..6.Discuss the limitations of quantitative research. Answers: Introduction: The report is meant for analyzing the survey done in a gym. The gym has proposed a new change for its customers. One of the main objectives of the report is to find out the proportion of people who supports the change. The proportion of people supporting the change could be analyzed using some inferential statistics techniques such as testing of hypothesis and confidence interval. The data has also been collected for other variables like the gender of the person visiting the gym, the physical factors such as height, weight, country where the people resides, age of the persons, the reason of the person for going to the gym, the reason for going to the gym and others. The data has also been collected for the number of times the person goes to the gym, the number of times spent for different exercises in the gym. The analysis of these variables will help to understand the choice and preferences of the customers visiting the gym. The analysis will give an idea about the choices of the cu stomers going to the gym. 1.According to Yee, Yeung Ma (2013), the customer satisfaction in a fitness industry is driven by the service environment, the psychological factors and the physical environment found in the gym. The interaction among these factors is also responsible for the rate of customer satisfaction. The fitness industry should employ well trained, knowledgeable and customer oriented employees in the gym. This would drive the customer satisfaction in the gym. According to Hsueh Su (2013), the customer satisfaction rate is moderate in relation to the service provided by the fitness centers in south Taiwan. The satisfaction rate among the customers varied with the monthly income, occupation, education level and other demographic factors of the customers. 2.The Body mass index is dependent on the type of exercise performed by the individual. The body mass index is a numerical variable. The number of minutes spends for doing cardiovascular exercises is also a numerical variable. The relationship between the two variables could be found with the help of correlation co efficient. The Pearsons product moment correlation co efficient has been found for the above two variables. The correlation co efficient is given by the following formula: r = Cov(x,y)/sqrt(V(x)* V(y)). The Correlation between the two variables is given by the following formula: BMI Q11: Minutes on Cardio machine BMI 1 Q11: Minutes on Cardio machine -0.10581 1 Table: Correlation matrix (Source: Created by author) The correlation between the minutes spends for cardio vascular exercise and the BMI is -0.10581. Figure: Scatter plot between number of time spend on cardio vascular exercises and BMI (Source: Created by author) The correlation between the two variables gives an idea about the importance of the customers for going to the gym. As the exercises have a positive effect on the fitness of the customers, this can increase customer satisfaction. The customer will be interested in coming to the gym. The scatter plot also gives a negative sloping line. This indicates a negative correlation between the two variables BMI and Time spent for cardiovascular exercises. The measures of descriptive statistics are given below: Measure Minutes spend for cardio vascular disease BMI MEAN 12.6 25.745 Standard deviation 8.601151 3.098823 Table: Measures of descriptive statistics (Source: Created by author) The customer satisfaction can also be explained with the help of the variable, the frequency of going to the gym and the variety of equipment in the gym. Both these are categorical variables. The variables are analyzed with the help of the following two way table: Count of Q8:Number of visits per week Row Labels 0 1 1 29 29 2 9 17 3 3 9 4 4 Grand Total 41 59 Table: 2*2 Contingency table Source: Created by author Table: Bar diagram showing the importance of equipments and frequency of visits (Source: Created by author) In the above bar diagram, the number of visits per week is plotted along the x axis and the counts are plotted along the y axis. The graph gives an idea about the frequency along the two axes. 3.Therefore, there is a negative correlation between the two variables. Therefore, as the number of minutes spends for physical exercise increases, the BMI of the individual decreases and vice versa. The contingency table shows that the number of people who goes to the gym once a week has shown a equal proportion for agreeing as well as disagreeing with question 15 that is the gym should have better equipments. As the number of visits increases, the number of people stating that the gym should have better equipments decreases. Therefore, it can be stated that the individuals who visits the gym regularly has stated that the gym has better equipments. 4.The survey has been conducted among the gym customers to see if the customers of the gym support the proposed change that has been brought about in the gym. The data has been collected from 1000 customers to see if they support the change or not. It has been found that among 1000 people, 259 people do not like the change and the remaining likes the change. Therefore, a proportion of 0.259 people do not like the change. A confidence interval of 95% has been constructed by assuming the variable is binomially distributed. The confidence interval is given below: I = ( p S.E(p) * 1.96, p + S.E (p)*1.96) The S.E(p) indicates the standard error of the proportion. It is calculated by the following formula: E (p) = sqrt(p(1-p)/n) The value of p for this data is 0.259 and the value of S.E (p) is 0.013853. The value of the confidence interval has been calculated to be (0.713847, 0.768153). The value of the proportion p is expected to lie within the interval. A test has been conducted to know if 50% of the customers like the change in the gym. A test for the population proportion has been constructed. The null hypothesis of the test is H0: p =0.5 and the alternative hypothesis is H1: p 0.5. The statistic of the test is given below: t = (p 0.5)/sqrt(p(1-p)/n) The test statistics for the test has been calculated to be 17.3963. The null hypothesis of the test will be rejected as the test statistic is more than 1.645. Therefore, it can be said that the number of people who do not support the change is more than 50%. Conclusion: The report is concerned with analyzing the number of customers in the gym who supports a particular change. The analysis of the data has been carried out with the help of various statistical tools and techniques. It has been found that the number of people who supports the change is more than 50 percent. A confidence interval has been given for the variables as well. The customer satisfaction is a very important factor in the gym. The customer satisfaction depends on different factors like the quality of service provided by the gym. In this case, the quality of equipment provided in the gym is one of the factors for the service quality provided by the gym. The analysis of the data states that the people who visits the gym regularly believes that the equipments in the gym are good while those who do not visit regularly believes the equipments are not so good. The number of people who thinks the gym should have a high variety of equipments is less than the group who thinks that the gym should not have a high variety of equipments. 5.The statistical measures have been calculated using a sample observation. A sample of size 100 has been used for descriptive statistics and size 1000 has been used for inferential statistics. Firstly, the correlation between the two numerical variable has been very small almost approaching towards zero value. Therefore, proper conclusion about the two variables could not be drawn from the statistics. Secondly, the inferential statistics measure that is hypothesis testing and confidence interval has been computed using binomial distribution. The data contains 1000 observations. The analysis could have been better if normality could have been assumed. This means that the number of people who supports the claim should follow a normal distribution. 6.The study has been conducted using quantitative research methodology. The quantitative research methodology involves collection of primary data for the research. There are a lot of problems in the collection of primary data. The figures in the quantitative data are often full of errors. This may be because of the fact that the respondents do not answer the questions properly. There are missing observations in those data as well. In order to avoid these problems, the enumerators should be given proper kind of training. Often, indirect questions could be asked to get the answers. The questionnaire should contain proper instructions of filling each and every question. References: Hsueh, Y.S. Su, J.M., 2013. The relationship among service quality and satisfaction of customers in fitness c:enters located in Southern Taiwan.Life Science Journal,10(4). Yee, W.M., Yeung, R.M. Ma, L., 2013, July. Drivers of customer satisfaction in the fitness club industry. InProc. of the Academy of Marketing Conference 2013Marketing Relevance.