I'm currently reviewing an article where authors presented distribution statistics that look erroneous to me. But I'm not able to find a way to ascertain it. The article presented results with a mean of 95% and standard deviation of 25%. Maximum value can't be more than 100% and minimum value can't be less than 0%. I don’t have the sample number. I tried to generate lognormal random numbers with these statistics without success:
# R Code require("Runuran") d1 <- urlnorm(n = 1000, meanlog = log(95), sdlog = log(25), lb = 0, ub = 100)
How can I generalize this conclusion whatever the distribution?