For a Given Population Variance, What Is the Relationship Between

For a given population variance, what is the relationship between sample size and expected margin of error?

A) There is a linear pattern (i.e., constant improvement) where larger sample sizes give larger margins of error.
B) There is a linear pattern (i.e., constant improvement) where larger sample sizes give smaller margins of error.
C) There is a nonlinear pattern (i.e., diminishing improvement) where larger sample sizes give larger margins of error.
D) There is a nonlinear pattern (i.e., diminishing improvement) where larger sample sizes give smaller margins of error.