I C ESP
Though Martin Gardner wrote very little specifically about statistics, he often touched on it via connections. My example below is taken from his book MathematicsMagic and Mystery, first published in 1956.
When discussing mindreading experiments, Martin Gardner mentions a magician's technique known as "psychological forces." This element supposedly increases the "odds for success" in favor of the mindreader. For example, Martin Gardner claimed:
 If asked for a number between 15, most people tend to pick the number 3.
 If asked for a number between 110, most people tend to pick the number 7.
 If asked for a number between 150 with both digits odd and different (e.g. not 11), most people tend to pick the number 37.
 If asked for a number between 50100 with both digits even and different, most people tend to pick the number 68.
Your Task: Devise statistical experiments where you test the validity of Martin Gardner's claims. That is, do "psychological forces" exist?
Source: Martin Gardner, Mathematics, Magic and Mystery, Dover, 1956, pp. 173174
