The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult

Kye 2020-11-10 Answered
The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inces.
a) If a man is 6 feet 5 inches tall, what is z-score?
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Expert Answer

Bertha Stark
Answered 2020-11-11 Author has 96 answers

Step 1
Solution
given:
Men: Population mean (μ)=69.3,
Population mean (σ)=2.67
Women: Population mean (μ)=64.8,
Population mean (σ)=2.54
formula:
Let "x" be the height of a man.
z= x  μσ
Step 2
Height of a man (x)=(6 × 12) + 5=77 inches
[ 1 feet=12 inches]
z=7769.32.67
z=2.883895131
Round to two decimals.
z=2.88

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