X and Y are linked variables (i.e. they relate to different measurements in the same individuals), I know the value of mean(X) and of mean(Y) but I do not know the individual level values of X and Y.
I would like to infer the value of mean(X/Y), which I can see is not the same as mean(X)/mean(Y) (unless the correlation of X and Y is 1). I would also like to infer the value of SD(X/Y).
If I know the correlation of X and Y is there a way to infer these values?