Suppose that many large samples were taken from population B, which is normally distributed, and population C which is not normally distributed. The means of the samples of which of the following populations would approximate a normal distribution?

A. Population B
B. Population C
C. Neither population B nor population C
D. Both population B and population C

Question

Suppose that many large samples were taken from population B, which is normally distributed, and population C which is not normally distributed. The means of the samples of which of the following populations would approximate a normal distribution?

A. Population B
B. Population C 
C. Neither population B nor population C
D. Both population B and population C

perl · Answer

hint: Use central limit theorem

hockeychick23 · Answer

ok, based on that I got that it would be population B because it is normally distributed

perl · Answer

The Central Limit Theorem states that given a population and many samples containing n elements from that population, the distribution of the means of those samples is approximately normal when n approaches infinity. The underlying population does not have to be normally distributed to begin with

hockeychick23 · Answer

so does that mean that both would be included because they both contain a certain number of elements?

perl · Answer

both samples are large, so therefore the distribution of the sample means will be normal

hockeychick23 · Answer

ok thanks, i got d