Solving a mathematical model through Chi-Squared test on queuing problem in general hospital

Chi-square (X2) test is a nonparametric statistical analyzing method often used in experimental work where the data consists of frequencies or ‘counts’ for construction of any simulation model and improvisation needed to be made for any queuing service. Before a Queuing analysis can be performed, it is important to understand the distribution pattern of the interarrival and the service rate. For this reason, Chi-Square testing was conducted mainly to determine whether the distributions fit the exponential distribution. This is because the arrival rate and the service rate were previously has been related to exponential distribution besides Erlang and Normal distributions. This study was conducted at a healthcare center since Queuing has been a huge problem there. The result in this study shows that both interarrival and service rate at that healthcare follow an exponential distribution.