The scenario is that a group of $n$ people carry out this same experiment.
Each person generates 11 random numbers based on the normal distribution $\mu=2.7$ and $\sigma=0.6$.
Each person must then calculate their own test statistic for the hypothesis:
When I carried out this test using Excel, my test statistic was $-3.19$ which is less than the critical value at a 5% significance level ($-1.96$). Therefore I would reject the null hypothesis. However, this is only my experiment, how would I then calculate the proportion of the group I would expect to reject $H_0$?