Answered: In a study of the birth order and…

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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In a study of the birth order and intelligence, IQ
tests were given to 18- and 19-year old men to
estimate the size of the difference, if any,
between the mean IQs of firstborn sons and
secondborn sons. The following data for 10
firstborn sons and 10 secondborn sons are
consistent with the means and standard
deviations necessary to conclude that the
samples come from populations that are
normally distributed.
Firstborn: Secondborn:
104 82 102 96 129 103 103 91 113 102
89 114 107 89 103 103 92 90 114 113
a. Construct a 90% confidence interval for the
difference in mean IQ between firstborn and
secondborn sons.
b. Based on the confidence interval, is it reasonable
to believe that firstborn sons and secondborn sons may have the same mean IQ.

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Thank you.

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