Use this normal model to determine the probability that an American men in this age group will be shorter than 4"6" tall? (b) According to this normal model, what proportion of American men aged 20-29 are 6" or taller? (c) How tall must a man be to be among the tallest 10%? (d) Answer (a)-(c) for American women in this age group. (e) Sample data from the National Center for Health Statistics indicate that 11.7% of a sample of men and 74.0% of a sample of women are shorter than 5"6". Are these results generally consistent with your calculations? (f ) Sample data from the National Center for Health Statistics indicate that 29.9% of a sample of men and 0.5% of a sample of women are 6" or taller. Are these results generally consistent with your calculations?