If the population is normally distributed, the sample means of a sample of size n = 5 are normally distributed.

Name: If the population is normally distributed, the sample means of a sample of size n = 5 are normally distributed.
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Quizplus · Accepted Answer

This is true according to the Central Limit Theorem, which states that if a population is normally distributed or if the sample size is sufficiently large, then the sample means will follow a normal distribution.

If the Population Is Normally Distributed, the Sample Means of a Sample