help with hw One of the tallest living men has a height of

One of the tallest living men has a height of 280 cm. One of the tallest living women is 259 cm tall. Heights of men have a mean of 176 cm and a standard deviation of 9 cm. Heights of women have a mean of 160 cm and a standard deviation of 5 cm. Relative to the population of the same gender, who is taller? Explain. Choose the correct answer below OA· The man is relatively taller because the z score for his height is less than the z score for the woman\'s height. OB The woman is relatively taller because the z score for her height is greater than the z score for the man\'s height. OC. The woman is relatively taller because the z score for her height is less than the z score for the man\'s height. OD. The man is relatively taller because the z score for his height is greater than the z score for the woman\'s height.

Solution

To compare who is relatively taller, we compute for the z scores.

Men:

z = (x - u) / sigma = (280 - 176)/9 = 11.55555556

Women:

z = (x - u) / sigma = (259 - 160)/5 = 19.8

Thus, the tallest woman is more relatively taller. [OPTION B]

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