Twelve patients undergoing recuperation from cardiothoracic surgery are randomly divided into two groups. Because the treatment that one group is about to receive affects blood glucose levels, the...

Twelve patients undergoing recuperation from cardiothoracic surgery are randomly divided into two groups. Because the treatment that one group is about to receive affects blood glucose levels, the researchers first compare values of A1C (a measure of blood glucose control over the last 120 days) in the two groups. What is the probability, just by chance, that the sample variance in group #1 will be more than five times the size of the sample variance in group #2?