Please include step-by-step explanation and show formulas used. Please use R to solve the problem as appropriate.

Subjects in a study included a sample of 37 male soccer players whose mean body mass index (BMI) was 25.21 with a sample standard deviation of 1.67 and a sample of 24 male rugby players whose mean BMI was 27.15 with a sample standard deviation of 2.64. Under the assumptions that the populations are normally distributed, is there sufficient evidence for one to claim that, in general, rugby players have a different BMI than soccer players? Let a = 0.01