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CSSBB · Question #199

A population is bimodal. One hundred samples of size 30 are randomly collected and the 100 sample means are calculated. The distribution of these sample means is:

The correct answer is D. approximately normal. See the full explanation below for the reasoning.

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Question

A population is bimodal. One hundred samples of size 30 are randomly collected and the 100 sample means are calculated. The distribution of these sample means is:

Options

  • Abimodal
  • Bapproximately exponential
  • Capproximately Poisson
  • Dapproximately normal
  • Eapproximately uniform

How the community answered

(49 responses)
  • A
    2% (1)
  • B
    2% (1)
  • C
    10% (5)
  • D
    80% (39)
  • E
    6% (3)

Topics

#central limit theorem#sampling distribution#sample means#normal distribution

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