A statistics teacher is reviewing the conditions under which the sampling distribution of the sample mean is approximately normal.
According to the Central Limit Theorem, the sampling distribution of x̄ is approximately normal when which condition holds?
- Acheck_circle
The sample size n is sufficiently large (n ≥ 30 is a common rule).
- B
The population is uniform.
- C
The population standard deviation is known.
- D
The sample mean equals the population mean.
Explanation
The CLT states that for sufficiently large n, the sampling distribution of x̄ is approximately normal regardless of the population shape.