A Certain Population Is Bimodal

Multiple Choice

A certain population is bimodal. We want to estimate its mean, so we will collect a sample. Which should be true if we use a large sample rather than a small one?
I. The distribution of our sample data will be clearly bimodal.
II. The sampling distribution of the sample means will be approximately normal. III. The variability of the sample means will be smaller.

A) II and III
B) I, II, and III
C) III only
D) II only
E) I only