From a population A which follows a normal distribution with mean = 100 and standard deviation σ = 5 we take a sample
n = 16.
From a population B which follows a normal distribution with mean = 102 and standard deviation σ = 10 we take a sample
n= 25
Calculate the probability the mean of the sample from population A is larger from the mean of the sample from population B?


Because the sample is less than 30 I guess normal rules of Central Limit Theory do not apply. This plus the fact that I can only find solved examples of problems that calculate greater/less than about one population have me at a loss
Can anyone help me solve this? I am severely stuck. Thank you for any help.