The central limit theorem implies that, for a sufficiently large sample, the distribution of the sample mean is approximately:
Correct answer: B. Normal, under broad conditions
- A. Uniform, regardless of the population
- B. Normal, under broad conditions
- C. Identical to the population distribution
- D. Exponential, for every sample size
Explanation
The central limit theorem states that the sampling distribution of the mean approaches a normal distribution as sample size grows, subject to suitable conditions. It does not say that the original population must itself be normal.
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