Answer
The z-scores for women and men, respectively, are 2.786 and .867. This means that a woman 6' tall is 2.786 standard deviations away from the mean. Using the table, a woman 6' tall is taller than 99.74% of the population.
This means that a man 6' tall is .867 standard deviations away from the mean. Using the table, a man 6' tall is taller than 80.78% of the population.
Work Step by Step
$(6*12-64.2)/2.8$
$(72-64.2)/2.8$
$7.8/2.8 = 2.7857 = z$
$z = 2.786$ has a normal value of .9974
$(6*12-69.4)/3$
$(72-69.4)/3$
$2.6/3 = .8666 = z$
$z = .87$ has a normal value of .8078
