Your question is Central Limit Theorem in Practice. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
What is the central limit theorem, and why does it matter in data analysis?
Explain the theorem using the supplied population and simulation settings. Show how the distribution of sample means changes with sample size, calculate the expected standard error, and describe why the result supports confidence intervals and hypothesis tests. State the assumptions and limitations, including independence, finite variance, and the effect of skewed or heavy-tailed populations.