Final answer:
A positive correlation means there are health benefits to the variable under investigation.
Step-by-step explanation:
A positive correlation means that as one variable increases, so does the other variable. In the context of health benefits, a positive correlation would indicate that an increase in a certain variable leads to improved health. So, for the statement 'A positive correlation means there are health benefits to the variable under investigation,' the answer would be True. However, it is important to note that correlation does not necessarily imply causation, meaning that just because there is a positive correlation between two variables, it doesn't necessarily mean that one variable causes the other.