I had a homework assignment asking us to code some basic things in R. Here are the tasks:
- Generate a Gamma(1,2) population of size N=5000 and show its density plot and descriptive statistics.
- Create the sampling distribution of the sample mean from 200 samples, each of size n=35, drawn from the above population.
- Show a density plot and descriptive statistics for this sampling distribution
I have already done the coding. But for the last question it asks, "Are your results in agreement with the central limit theorem (CLT)? Did you expect that?"
What should I be looking for exactly? I guess I don't fully understand the central limit theorem so I'm not really sure how to connect it to my results.