Adverts by the numbers

As I was on my way home today I saw a few of those giants billboards for Mountain Star Medical.  If you're around the Salt Lake area you've seen the billboards with the wait time listed.  Obviously people despise waiting in the ER for absurd amounts to time to have a doctor look at you and say, 'amoxicillin'.  We know that drug is more placebo than antibiotic.  So I'm sure that initially this wait time sign seemed like a great idea.  So after seeing a few of these signs I ran the numbers.  There is an average wait time of 48 minutes, with a median of 38 mins.  The standard deviation is 21.6 minutes.  So basically 68% of people can expect to wait from roughly 26-70 mins, if the numbers follow a normally distributed pattern, which is likely.

Remember this little graph Advertising majors?

So with this information I have to wonder, how dumb do the Mad Men really think I am?