Which of the following statements is false?
I. We use one-sample procedures when our samples are equal in size but
aren't independent.
II. Everything else being equal, a confidence interval based on 15 degrees
of freedom will be narrower than one based on 10 degrees of freedom.
III. We can pool our estimates of the population variance if we want a
narrower confidence interval for a given confidence level.

A. I only
B. II only
C. III only
D. I and II only
E. None are false
F. I'm not sure.