What​ women's height corresponds to a​ z-score of −1.80​? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA​ (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA​ (men's league). Compared to his or her​ peers, who is​ taller?

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Assume that​ women's heights have a distribution that is symmetric and​ unimodal, with a mean of
64
​inches, and the standard deviation is
2.5
inches. Assume that​ men's heights have a distribution that is symmetric and​ unimodal, with mean of
73
inches and a standard deviation of
2
inches.
 
a. What​ women's height corresponds to a​ z-score of
−1.80​?
b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA​ (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA​ (men's league). Compared to his or her​ peers, who is​ taller?
Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 64 inches, and the standard deviation is 2.5 inches. Assume that men's heights have a distribution that is symmetric and unimodal,
with mean of 73 inches and a standard deviation of 2 inches.
a. What women's height corresponds to a Z-score of – 1.80?
b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or
her peers, who is taller?
a. The women's height that corresponds to a z-score of – 1.80 is
inches.
(Type an integer or a decimal. Do not round.)
b.
because
is
standard deviations above the mean for
while
is only
standard deviations above the mean for
(Type integers or decimais Tounded to two decimal places as needed.)
*New Te...
File
Edit
Format
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Evelyn Akhator
Draymond Green
Не
She
Men
Women
Transcribed Image Text:Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 64 inches, and the standard deviation is 2.5 inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of 73 inches and a standard deviation of 2 inches. a. What women's height corresponds to a Z-score of – 1.80? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller? a. The women's height that corresponds to a z-score of – 1.80 is inches. (Type an integer or a decimal. Do not round.) b. because is standard deviations above the mean for while is only standard deviations above the mean for (Type integers or decimais Tounded to two decimal places as needed.) *New Te... File Edit Format View Help Evelyn Akhator Draymond Green Не She Men Women
Expert Solution
Step 1

It is given that

For men, mean = 64, and SD = 2.5

For women, mean = 73, and SD = 2

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