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MMLU / Which of the following is the central limit theorem?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Which of the following is the central limit theorem?

choices

  1. No matter how the population is distributed, as the sample size increases, the mean of the sample means becomes closer to the mean of the population.
  2. No matter how the population is distributed, as the sample size increases, the standard deviation of the sample means becomes closer to the standard deviation of the population divided by the square root of the sample size.
  3. If the population is normally distributed, then as the sample size increases, the sampling distribution of the sample mean becomes closer to a normal distribution.
  4. The central limit theorem refers to something else.

subject

high_school_statistics

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Source and history

task_id
f9c62813-b00b-5b61-8552-1f9c0fcf9273
task_key
all--test--f9c62813-b00b-5b61-8552-1f9c0fcf9273
task_revision_id
1
config / split
all / test

Official source

initial import