Man Crosses Atlantic by Expending Energy
Scientists Find that Virtually All Earth's Water is Wet
This myth that math geeks can't tell you anything useful is rather irritating. Sure some of them speak very abstractly, and they might use a technique that you don't understand to draw their conclusion, by they can also save you a lot of time by identifying a fools errand early on. Proper grounding in maths not simply an academic exercise.
Comments like yours are more or less exactly what I was speaking about. What makes you think that somebody with an advanced mathematics degree wouldn't know about statistics? Because it's not in the title? Go kick down the door of your local university math department and spring some statistics problems on them. You'll probably come out with the answers.
As for the depth of statistics as a field, and its reliance on other disciplines - I agree entirely. I think pure mathematicians are far more likely to be ignorant of statistics than statistical mathematicians are of, for example, analysis.
You just added that part, which has nothing to do with the joke. Interesting.