Q:

One of the tallest living man has a hight of 246 cm. One of the tallest living women is 234 cm tall. Heights of men have a mean of 171 cm and a standard deviation of 7 cm. Heights of women have a mean of 160 cm and the standard deviation of 8 cm. Relative to the population of the same gender, who is taller?

Accepted Solution

A:
Answer:The tallest man has a higher z-score, so he is taller relatively.Step-by-step explanation:One of the tallest living man has a height of 246 cm. One of the tallest living women is 234 cm tall. Heights of men have a mean of 171 cm and a standard deviation of 7 cm. Heights of women have a mean of 160 cm and the standard deviation of 8 cm. The z-score for the tallest man is:z = [tex](246 -171)/7=75/7[/tex] = 10.714The z-score for the tallest woman is:z = [tex](234-160)/8=74/8[/tex] = 9.25The tallest man has a higher z-score, so he is taller relatively.