Here we are interested in the maximum score that is likely to be found in samples of different sizes. Generally, with samples, you have to square the sample size N in order to get results twice as precise. So, we create three samples of normal curves, each with a mean of 0 and a standard deviation of 1. The three samples consist of 5 scores, 25 scores and 625 scores. These sample sizes are 5, the square of 5 and the square of that square.
Then we find the maximum score that occurred in the baby bear sample, the momma bear sample and the poppa bear sample. We print these three maxima.
The results of ten reps are printed below. What do the results say to you?