If the sampled population has a normal distribution, when is the sampling distribution of the sample mean X also a normal distribution ?
Correct answer: C. Always
- A. Only when the sample size is at least 100.
- B. Only when the sample size is smaller than 30
- C. Always
- D. Only when the sample size is at least 30.
Explanation
A sample mean from a normally distributed population is normally distributed for every sample size. The sample-size rule of 30 is mainly used with non-normal populations through the central limit theorem.
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