Title: New View of Statistics: Confidence Limits
Headings: 
GENERALIZING TO A POPULATION
Generalizing to a Population: CONFIDENCE LIMITS

Content: The lower and upper confidence limits need to be interpreted separately. The lower (or numerically smaller) limit shows how small the effect might be in the population; the upper limit shows how large the effect might be. Of course, you'll never know whether it really is that small or big unless you go out and measure the whole population. Or more subjects, anyway. Which brings us to the next important point: the more subjects, the narrower the confidence interval. Effect of Sample Size on the Confidence Interval
H ere's a figure showing how the width of the confidence interval depends on the number of subjects, for a correlation coefficient. It's the sort of thing you would get if you took bigger and bigger samples from a population. Notice that you can't say anything useful about the population correlation when the sample has only 4 subjects.