Business Statistics for Gym

Question: Discuss about the Business Statistics for Gym. Answer: Introduction Gym has become an important part of the customers. Customers go to gym for various purposes (Schaefer et al. 2014). They mainly go to gym to gain strength or to lose weight. Germany and America are considered in this assignment and the status of the customers who go to gym will be analyzed for these two countries. It is seen that some of the customers are ashamed of their bodies while some are not. It is also seen that some of the customers want their gym to unisex while some feels that it is important to have high variety of equipments in the gym. In this assignment, the preference and responses of the customers would be analyzed and these analyses would be interpreted to find an overview of the service of the gym and the responses of the customers about the gym. Various statistical methods would be used to analyze the responses of the customers of the gym. Charts and graphs would also be provided to support the analysis and provide a pictorial representation of the collected data. Review of academic sources According to the viewpoint of Wicker et al. (2016), it is seen that in a sample of 996 adults who were surveyed, the responses from 452 samples were successfully coded. It was seen that the increase in the BMI if any adult is related to a lesser amount of moderate intensity of the physical activities and the higher value of overall worse health. It was seen that there exists a relationship between the BMI of an individual and intensity of physical activity done by an individual (Gopinath et al. 2013) When a person spends more time in weights in gym, the person performs more of physical activity. The article shows that the intensity of any physical activity explains the 20 percent variance of the variable BMI. Bivariate analysis and hypothesis test Two numerical variables are chosen for the purpose of bivariate analysis. The variables chosen for this purpose are BMI and Minutes on weigh machine. These two variables will undergo ANOVA and regression analysis to test the hypothesis of the test. Descriptive statistics would also be performed on these two variables. The relationship between these two variables is given below in the scatter diagram: Figure 1: relationship between BMI and Minutes spend on weight machine (Source: created by author) The data of the variables, BMI and Minutes spend on weight machine shows that there exists a negative relationship between these two variables. With the increase in the value of BMI, there is a decrease in time spend on weight machine in gym (Moholdt et al. 2014). It can be interpreted that when a person has higher BMI, he becomes unfit and can spend less time on weight machines in gym. On becoming fit by reducing BMI, the person can invest more time on the weight machines in gym (Factor and Youth 2015). The mean value of the variable BMI is found to be 26.206 kg/m2 while the standard deviation of the variable was found to be 2.9698 kg/m2. It can be interpreted that the average BMI of the chosen samples is around the normal BMI values and the value of standard deviation shows that the BMI of the chosen samples is not much deviated from the mean of the variable (Sarkar et al. 2013). The mean value of the variable Minutes on weight machine was found to be 22.95 minutes and the standard deviation was found to be 15.9876 minutes. It can be interpreted that the average time spent by the samples on the weights in gym is 22.95 minutes (Erfle and Gamble 2015). The value of standard deviation shows that the value of the variable deviates moderately from the mean value of the variable. The hypothesis of the test is given below: H0: The slope is not different to zero H1: the slope is different to zero ANOVA test had been performed at 5% level of significance and the p value of the test was found to be 0.020114934. This value is less than 0.05 and it shows that the test is significant. This shows that the null hypothesis is rejected and the slope of the equation of these two variables is different to zero. Managerial advice It is seen that the normal BMI of an individual lies in the range of 18.5 to 25 kg/m2. People having their BMI above this range is said to be either overweight or obese. It is proposed that the management of gym must differentiate their customers having BMI above 25 kg/m2 and below it. They must arrange a minimum time for the person who had BMI above 25 kg/m2. This would help the people having higher BMI to increase their time in weights machines in gym. This would help them to reduce their BMI and have a fit and healthy body. Analysis of the data in context of proposed change The 95% confidence interval for the proportion of customers whose BMI is greater than 25 kg/m2 was found to be (0.5248, 0.7151). The lower limit of proportion of customers whose BMI is greater than 25 kg/m2 was 0.5248 and the upper limit of proportion of customers whose BMI is greater than 25 kg/m2 was 0.7151 (Marques et al. 2016). In order to test the claim that the proportion of customers that support the change mentioned above is greater than 50 percent, one sample test was performed. The z value of the test was found to be 2.4722 and the p value of the right tailed test was found to be 0.0067. The hypothesis of the test is as follows: H0: p = p0 and H1: p p0. The p value of the test was found to be less than 0.05 and this shows that the test is significant. The null hypothesis is rejected in this case. This shows that the proportion of samples who have BMI greater than 25 kg/m2 is above 50 percent. Conclusion It can be concluded that according to the academic sources people having higher BMI spend less time in the weight machines in gym. It is seen that the average BMI of the selected sample is 26.206 and the standard deviation of the BMI of samples is 2.96. The average value of the variable minutes on weight machine in gym was found to be 22.95 and the value of standard deviation was 15.9876. It is seen that the slope of the equation of these two variables is different to zero. On differentiating the BMIs of the sample below 25kg/m2 and above it, the 95% confidence interval of the proportion of samples that support the claim was found to be (0.5248, 0.7151). On performing one sample test to claim the proportion that the customers who support the above change is over 50%, the claim was found to be true. Thus, the analysis of the data of gym is concluded. References Erfle, S.E. and Gamble, A., 2015. Effects of daily physical education on physical fitness and weight status in middle school adolescents.Journal of School Health,85(1), pp.27-35. Factor, S.P.A.A.P. and Youth, O.M.S.I., 2015. Influence Of Gender, Weight And Hispanic Ethnicity On Physical Activity In Toddlers. Gopinath, B., Hardy, L.L., Baur, L.A., Burlutsky, G. and Mitchell, P.A.U.L., 2013. Birth weight and time spent in outdoor physical activity during adolescence.Med Sci Sports Exerc,45(3), pp.475-80. Marques, A., Ekelund, U. and Sardinha, L.B., 2016. Associations between organized sports participation and objectively measured physical activity, sedentary time and weight status in youth.Journal of Science and Medicine in Sport,19(2), pp.154-157. Moholdt, T., Wislff, U., Lydersen, S. and Nauman, J., 2014. 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