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

Kye

Answered question

2020-11-10

Adult male height in America is normally distributed, with an average 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?

Answer & Explanation

Bertha Stark

Bertha Stark

Skilled2020-11-11Added 96 answers

Step 1
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 person's height
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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