# Comparing Variances of the Sample Means

• Jan 30th 2013, 09:35 PM
SC313
Comparing Variances of the Sample Means
Hi,

"Suppose that two populations have equal population variances but have different sizes: \$\displaystyle N_1=100,000, N_2=10,000,000 \$. Compare the variances of the sample means for a sample of size \$\displaystyle n=25 \$. Is it easier to approximate the mean of a smaller population?"

Where do I even begin? :(
• Jan 31st 2013, 12:12 AM
chiro
Re: Comparing Variances of the Sample Means
Hey SC313.

What do the N's refer to? (Are you dealing with finite populations as opposed to infinite ones)?
• Jan 31st 2013, 05:59 AM
SC313
Re: Comparing Variances of the Sample Means
Quote:

Originally Posted by chiro
Hey SC313.

What do the N's refer to? (Are you dealing with finite populations as opposed to infinite ones)?

Hi Chiro!

N is the population size \$\displaystyle N_1=10,000, N_2 is 10,000,000 \$.

And the populations are finite!

Thanks!
• Jan 31st 2013, 01:57 PM
chiro
Re: Comparing Variances of the Sample Means