There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that older siblings have a higher IQ than younger siblings. The results are depicted for a sample of 10 brothers in the table below. IQ scoremeanssOlder brother (xx)99129998511196981189297102.413.1165713677182Younger brother (yy)98127978410894101115929410112.5343971179754d=x−yd=x−y122132-33031.41.83787316694536(a) Find the test statistic.(b) Test the claim at the 0.01 significance level.Critical value: Is there sufficient data to support the claim?YesNo(c) Test the claim at the 0.05 significance level.Critical value: Is there sufficient data to support the claim?YesNo

Claim : Older siblings have a higher IQ than younger siblings Hypothesis : Null hypothesis : H0 :…

Answered: There have been numerous studies…

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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There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that older siblings have a higher IQ than younger siblings. The results are depicted for a sample of 10 brothers in the table below.

	IQ score	mean	ss
Older brother (xx)	99	129	99	85	111	96	98	118	92	97	102.4	13.1165713677182
Younger brother (yy)	98	127	97	84	108	94	101	115	92	94	101	12.5343971179754
d=x−yd=x−y	1	2	2	1	3	2	-3	3	0	3	1.4	1.83787316694536