Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

A population has σ = 12. We want σ_x̄ = 1.5.

σ/√n = target σ = 12; want σ_x̄ = 1.5

What sample size n is required?

  • A

    64

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  • B

    8

  • C

    144

  • D

    16

Explanation

σ/√n = 1.5 → √n = 12/1.5 = 8 → n = 64.

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