A survey found that the average rate for a hotel room in San Miguel Allende is $88.42 dollars and the average rate in CDMX is $80.61 dollars. Assume that the data were obtained from two samples of 50 hotels in each of the cities and that the standard deviations of the populations are $5.62 and $4.83, respectively. With a significance of 0.05, could you conclude that there is a significant difference in the rates?