7C.2
Two 95 percent confidence intervals I400 will be constructed to estimate the difference in means of two populations, R and J. One confidence interval, , will be constructed using samples of size 400 from each of R and J, and the other confidence interval, I100 , will be constructed using samples of size 100 from each of R and J.
When all other things remain the same, which of the following describes the relationship between the two confidence intervals?

A) The width of I400 will be 4 times the width of I100
B) The width of I400 will be 2 times the width of I100 .
C) The width of I400 will be equal to the width of I100 .
D) The width of I400 will be ½ times the width of I100 .
E) The width of I400 will be ¼ times the width of I100 .