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Chapter 2: Q. 1.1 (page 114)

The distribution of heights of young women aged 18to 24is approximately N(64.5,2.5)

1. Sketch a Normal density curve for the distribution of young women's heights. Label the points one, two, and three standard deviations from the mean.

Short Answer

Expert verified

For the distribution of young women's heights, the normal density curve is as follows:

Step by step solution

01

Given Information 

Heights of young women aged between =18to24.

Percentage of young women with heights greater than 67inches =?

02

Explanation 

The following is the conventional form of a normal distribution curve with percentages marked.

With a mean of 64.5and a standard deviation of 2.5, this is a normal distribution

μ−3σ=64.5−3×2.5=57μ−2σ=64.5−2×2.5=59.5μ−σ=64.5−2.5=62μ=64.5μ+σ=64.5+2.5=67μ+2σ=64.5+2×2.5=69.5μ+3σ=64.5+3×2.5=72

Using these value, the curve will be as below

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