If a population is known to be normally distributed, what can be said of the sam

Q: If a population is known to be normally distributed, what can be said of the sam

If the underlying distribution is normal, then the sampling distrbution is normal regardless of sample size. Hence, OPTION C: C) For any sample size n, the sampling distribution of the sample mean is normally distributed. [ANSWER]

ID: 3128121 • Letter: I

Question

If a population is known to be normally distributed, what can be said of the sample distribution of the sample mean drawn from this population?

A) For a sample size n > 30, the sampling distribution of the sample mean is normally distributed.

B)For a sample size n < 30, the sampling distribution of the sample mean is normally distributed.

C) For any sample size n, the sampling distribution of the sample mean is normally distributed.

D) For a sample size n < 50, the sampling distribution of the sample mean is normally distributed.

Explanation / Answer

If the underlying distribution is normal, then the sampling distrbution is normal regardless of sample size.

Hence,

OPTION C: C) For any sample size n, the sampling distribution of the sample mean is normally distributed. [ANSWER]

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If a population is known to be normally distributed, what can be said of the sam

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