For my research I produced random normally distributed data. The data is necessary for a statistical analysis which I describe in my paper. Is it recommended to state in the paper what tool I used to create the data? I am not sure if so, since there are many ways how to produce these data. The output is always the same and in my case only the output (the produced data) matter.
If you used a common method which is known to produce completely random and normally distributed data, just mention its name or describe it in one short sentence.
It is often that various methods of random data generation are found to possess some bias, pattern, lesser than maximum possible entropy etc. - their randomness is not perfect. This may affect results, and for that eventuality you should at least name the method, so that in case the method is found vulnerable, your research could be verified, whether it's affected by the vulnerability or not.