A Cornell University researcher measured the mouth volumes of 31 men and 30 women. She found a mean of 66 cc for men (SD = 17 cc) and a mean of 54 cc for women (SD = 14.5 cc). The man with the largest mouth had a mouth volume of 111.2 cc. The woman with the largest mouth had a mouth volume of 95.8 cc.
a) Which had the more extraordinarily large mouth?
b) If the distribution of mouth volumes is nearly Normal, what percentage of men and of women should have even larger mouths than these (higher than the highest listed above)?