Researchers recruited 20 volunteers- 8 men and 12 men omen- to take part in an experiment

they are doomed -- Doomed!

It seems there is a discrepancy in the numbers you provided for men and women. You mentioned "8 men and 12 men omen." I assume you meant to write "8 men and 12 women."

Now, if you have a specific question about this scenario, please let me know, and I'll be happy to help!