I can't speak for sleeping pills, but the dosage of anti-deprassants such as
paxil,
prozac,
lexapro, etc, etc isn't determined by your weight. Paxil for example: Someone who is 350 lbs the recommened max dose is 60 mg a day... just as is for 100 lbs... or so my last psychiatrist told me.
People react differently to different meds... I know people who
ativan does nothing for even in high doses, yet
valium works great for them. For me valium doesn't do a thing, but ativan is good, and
xanax is great.