The heights of women aged 20 to 29 in the United States are approximately normal

Question

The heights of women aged 20 to 29 in the United States are approximately normal with mean 63.9 inches and standard deviation 2.8 inches. Men the same age have mean height 69.4 inches with standard deviation 3.0 inches
What are the z-cores ( +- 0.01) for a woman 6 feet tall and a man 6 feet tall?
A woman 6 feet tall has a standardized score
A man 6 feet y’all has a standardized score

The heights of women aged 20 to 29 in the United States are approximately normal with mean 63.9 inches and standard deviation 2.8 inches. Men the same age have mean height 69.4 inches with standard deviation 3.0 inches
What are the z-cores ( +- 0.01) for a woman 6 feet tall and a man 6 feet tall?
A woman 6 feet tall has a standardized score
A man 6 feet y’all has a standardized score


What are the z-cores ( +- 0.01) for a woman 6 feet tall and a man 6 feet tall?
A woman 6 feet tall has a standardized score
A man 6 feet y’all has a standardized score

Explanation / Answer

Ans:

For woman:

Mean=63.9

standard deviation=2.8

x=6 feet=6*12=72 inch

z(72)=(72-63.9)/2.8=2.89

For man:

Mean=69.4

standard deviation=3

x=6 feet=6*12=72 inch

z(72)=(72-69.4)/3=0.87

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