The Central Limit Theorem

AP Statistics· difficulty 3/5

A population is strongly right-skewed. A sample of n = 5 is taken.

Strong Skew, n = 5

What can you say about the sampling distribution of x̄?

  • A

    It is approximately normal by the CLT.

  • B

    It is uniform.

  • C

    It is also right-skewed because n is too small for the CLT.

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  • D

    It is exactly normal.

Explanation

With strongly skewed populations and small n, the CLT does not apply; x̄ is also skewed.

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