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

Question

kj4uts · Answer

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amistre64 · Answer

we have something called a central limit thrm.  i think thats the name of it.

can you define it for me?

amistre64 · Answer

the thrm states that the sample means conform to a normal distribution regardless of the distribution of the parent dataset.

the mean of the sample means, approaches the mean of the population.

amistre64 · Answer

what does this tell us about your question?

amistre64 · Answer

the distribution of the sample means is normal regardless of the distribution of the population from which they are culled.

kj4uts · Answer

@amistre64 would that still make it population g then

kj4uts · Answer

@amistre64 sorry I had to leaver earlier

amistre64 · Answer

the mean of the sample means of any population conforms to a normal distribition.

amistre64 · Answer

so in this case, the sample means of BOTH sets would conform to a normal distribution.

amistre64 · Answer

the language is really obtuse lol

the mean of the sample means from both sets would follow a normal distribution according to the central limit thrm

kj4uts · Answer

@amistre64 oh ok so both population g and h would be the answer?

kj4uts · Answer

Thank you for your help again :)

amistre64 · Answer

yep, they both will work out ...