Hypothesis Tests · Superchallenge problem

A study's $z$ statistic equals its estimated effect measured in standard errors. The true effect is exactly 1 standard error, so $z$ is normal with mean 1 and standard deviation 1. Only results with $z > 1.96$ get published. What is the average $z$ (the average published estimated effect, in standard errors) among the published results? Round to the nearest hundredth.