Beanstalks In some cities tall people who want to meetand socialize with other tall people can join BeanstalkClubs. To qualify, a man must be over 6′2′′ tall, and awoman over 5′10′′. According to the National HealthSurvey, heights of adults may have a Normal model withmean heights of 69.1′′ for men and 64.0′′ for women. Therespective standard deviations are 2.8′′ and 2.5′′.a) You’re probably not surprised to learn that menare generally taller than women, but what does thegreater standard deviation for men’s heights indicate? b) Are men or women more likely to qualify for Bean-stalk membership? c) Beanstalk members believe that height is an im-portant factor when people select their spouses. To investigate, we select at random a married man and,independently, a married woman. Define two randomvariables, and use them to express how many inchestaller the man is than the woman.d) What’s the mean of this difference?e) What’s the standard deviation of this difference?f) What’s the probability that the man is taller thanthe woman (that the difference in heights is greaterthan 0)?g) Suppose a survey of married couples reveals that 92%of the husbands were taller than their wives. Basedon your answer to part f, do you believe that people’schoice of spouses is independent of height? Explain.

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Description: Beanstalks In some cities tall people who want to meetand socialize with other tall people can join BeanstalkClubs. To qualify, a man must be over 6′2′′ tall, and awoman over 5′10′′. According to the National HealthSurvey, heights of adults may have

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Beanstalks In some cities tall people who want to meet
and socialize with other tall people can join Beanstalk
Clubs. To qualify, a man must be over 6′2′′ tall, and a
woman over 5′10′′. According to the National Health
Survey, heights of adults may have a Normal model with
mean heights of 69.1′′ for men and 64.0′′ for women. The
respective standard deviations are 2.8′′ and 2.5′′.
a) You’re probably not surprised to learn that men
are generally taller than women, but what does the
greater standard deviation for men’s heights indicate?

b) Are men or women more likely to qualify for Bean-
stalk membership?

c) Beanstalk members believe that height is an im-
portant factor when people select their spouses. To

investigate, we select at random a married man and,
independently, a married woman. Define two random
variables, and use them to express how many inches
taller the man is than the woman.
d) What’s the mean of this difference?
e) What’s the standard deviation of this difference?
f) What’s the probability that the man is taller than
the woman (that the difference in heights is greater
than 0)?
g) Suppose a survey of married couples reveals that 92%
of the husbands were taller than their wives. Based
on your answer to part f, do you believe that people’s
choice of spouses is independent of height? Explain.

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