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PRC-2 · Chapter 12 · Question 34 of 55

What profound phenomenon does the 'Central Limit Theorem' mathematically guarantee regarding sample means?

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Reveal answer & explanation

Correct answer: C) As the sample size increases, the sampling distribution of the mean approaches a normal, bell-shaped distribution, regardless of the population's original shape.

Explanation

The Central Limit Theorem asserts that if you take sufficiently large samples (usually n > 30), the distribution of those sample means will look like a normal distribution, even if the underlying population is wildly skewed.

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