A test of statistical intuition

Another dot is going to be added to this chart, in line with the distribution you see here. You get to choose what the X value of the dot is — and your aim is to get a Y value of greater than zero. So here’s the question: at what value of X are you going to have a 95% chance of getting a dot above the axis, in positive territory on the Y axis?

Find out how good your statistical intuition is.