Question

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

Answer 1

I think the answer is A. Population A

I just want to make sure I wasn't reading anything wrong and that I understood the question correctly.

Answer 2

Hmmm ever heard of central limit theorem?

Answer 3

@KJ4UTS ?

Answer 4

The question is actually referring to the sampling distributions of Pop A and Pop B
Its basically asking if the sampling distributions are normally distributed?

The sampling distribution is basically the distribution of all the means of the various samples. So for instance we took 10 different samples from population A and the sampling distribution basically tracks the means of all these samples.

The central limit theorem states that if the samples are large enough meaning they are over 30 thennn it Makes no difference if the population is normally distributed BUT the sampling distribution will always be normally distributed

Answer 5

@samjordon so is it population A?

Answer 6

No lol

Answer 7

Are you in hs?
Have you learned the central limit theorem?

Answer 8

yeah im in hs but I we just started this unit on these concepts and im still a little confused.

Answer 9

hmmm the central limit theorem states
That even if the population is NOT Normally distributed, the distribution of mean of the many samples you have taken will be normal

Answer 10

hmmm you should watch this video https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/central-limit-theorem

Answer 11

oh so if the population is NOT Normally distributed that would include population c also?

Answer 12

Yes lol
This is only for very large samples

Answer 13

So D. Both population A and population C

Answer 14

And its not referring to the sample ... its referring to the sample distribution
So you took 40 samples and each of these samples had a mean
So then the the distributions of all these means would be normal

Answer 15

yes

Answer 16

Thank you for your time and help :)