Male heights are normally distributed with a mean of 70 inches and standard deviation 2. Female heights are normally distributed with a mean of 64 and standard deviation 2.5. Who is taller relative to their gender? A 73 inch tall male, or a 67 inch tall female? How do you know? A The 73 inch tall male is taller relative to his gender because his z-score is higher. B) The 67 inch tall female is taller relative to her gender because her z-score is higher. The male and the female have the same z-score, so they are both equally tall relative to their gender. (D) The male and the female are both 3 inches taller than the mean, so they are equally tall relative to their gender.

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Male heights are normally distributed with a mean of 70 inches and standard deviation 2. Female heights are normally distributed
with a mean of 64 and standard deviation 2.5. Who is taller relative to their gender? A 73 inch tall male, or a 67 inch tall female? How
do you know?
A) The 73 inch tall male is taller relative to his gender because his z-score is higher.
B
The 67 inch tall female is taller relative to her gender because her z-score is higher.
The male and the female have the same z-score, so they are both equally tall relative to their gender.
D) The male and the female are both 3 inches taller than the mean, so they are equally tall relative to their gender.
Transcribed Image Text:Male heights are normally distributed with a mean of 70 inches and standard deviation 2. Female heights are normally distributed with a mean of 64 and standard deviation 2.5. Who is taller relative to their gender? A 73 inch tall male, or a 67 inch tall female? How do you know? A) The 73 inch tall male is taller relative to his gender because his z-score is higher. B The 67 inch tall female is taller relative to her gender because her z-score is higher. The male and the female have the same z-score, so they are both equally tall relative to their gender. D) The male and the female are both 3 inches taller than the mean, so they are equally tall relative to their gender.
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