Which of the following statements is false?
A. Older men tend to have lower muscle density. Hence, the correlation between "age" and "muscle density" in older men must be negative.
B. Older children tend to be taller than younger children. Hence, the correlation between "age" and "height" in children must be positive.
C. A researcher finds the correlation between two variables is close to 0. Then the two variables must be unrelated.
D. Taller people tend to be heavier than shorter people, so the correlation between "height" and "weight" must be positive.