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Central Limit Theorem Limits

MediumStatistics & Probability00:00
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Your question is Central Limit Theorem Limits. 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).

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Problem

Scenario

You are reviewing an analysis that uses sample means and normal approximations. The underlying data may be skewed, heavy-tailed, or dependent, and you need to judge whether that approximation is justified.

Question

What is the Central Limit Theorem, what are its core assumptions, and under what specific real-world conditions does it fail?