Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

A population is heavily right-skewed. A sample of n = 10 is taken.

pop x̄, n=10?

What can we conclude about the sampling distribution of x̄?

  • A

    It will be uniform.

  • B

    It will be approximately normal.

  • C

    It will be exactly normal.

  • D

    It will likely be right-skewed since n is small.

    check_circle

Explanation

With strong skew and small n, the CLT does not yet make x̄ approximately normal.

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