A sample drawn from a normally distributed population
A)might have more members than the population.
B)is sometimes approximately normally distributed.
C)is always approximately normally distributed.
D)is never approximately normally distributed.

Question

Quizplus · Accepted Answer

The sample drawn from a normally distributed population is sometimes approximately normally distributed. This is because the central limit theorem states that the distribution of sample means approaches a normal distribution regardless of the shape of the population distribution, as long as the sample size is sufficiently large (typically at least 30). Therefore, even if the population distribution is not normally distributed, the sample means can still be normally distributed, making the sample approximately normally distributed. However, this is not always the case and depends on the sample size and the underlying population distribution.

A Sample Drawn from a Normally Distributed Population