Sampling Distributions for Sample Means

AP Statistics· difficulty 4/5

n large n medium n small

As n increases, the sampling distribution of x̄ becomes

  • A

    Centered elsewhere

  • B

    More skewed

  • C

    Narrower (smaller SE)

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  • D

    Wider

Explanation

SE shrinks like 1/√n; larger n produces tighter sampling distributions.

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