population-xx-has-a-standard-deviation-x8sigmax-8-and-population-yy-has-a-standa

Question

Population XX has a standard deviation σX=8\sigma_X = 8, and population YY has a standard deviation σY=12\sigma_Y = 12. How many times larger than Population XX's sample size does Population YY's sample size need to be to achieve the same margin of error for the mean?

Accepted Answer

2.252.25 times larger

Answer

3.003.00 times larger

Answer

2.002.00 times larger

Answer

1.501.50 times larger

Population XX has a standard deviation σX=8\(\sigma\)_X = 8, and population YY has a standard deviation σY=12\(\sigma\)_Y = 12. How many times larger than Population XX's sample size does Population YY's sample size need to be to achieve the same margin of error for the mean?

Population $X$ has a standard deviation $sigma sub X equals 8$ , and population $Y$ has a standard deviation $sigma sub Y equals 12$ . How many times larger than Population $X$ 's sample size does Population $Y$ 's sample size need to be to achieve the same margin of error for the mean?