Question 1123379
98.37% of women are at a z-score of 2.14, and 2.14*2.7 is 5.78, so the percentile is at 68.98 or 69.0 inches
99.87% of men are at a z-score of 3.015, and 3.015*2.8 is 8.44, so the percentile is at 68.1+8.44 or 76.5 inches
The tallest 5% of men are a z-score <1.645
z*sd=4.61 in
it would be men below 68.1+4.6 or 72.7 in.

The shortest 5% of women are at a z-score of -1.645, and -1.645*2.7 is 4.4, so it would exclude those more than 4.4 inches shorter than 63.2 or shorter than 58.8 inches.

The basic formula is z=(x-mean)/sd, and solve for the missing variable.