Answered: On average is the younger sibling's IQ…

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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On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQ tests. The data are given below.

IQ Scores

Younger Sibling	Older Sibling
94	109
105	108
96	99
96	102
103	104
91	100
96	108
102	112
85	87
93	98

Assume both populations are normally distributed. What can be concluded at the αα = 0.05 level of significance? (Let d = (Younger) - (Older)

The null and alternative hypotheses would be:

H0:H0: Select an answer p1-p2 μd μ μ1-μ2 p Select an answer < = > ≠ (please enter a decimal)

H1:H1: Select an answer p μ μ1-μ2 p1-p2 μd Select an answer ≠ < > = (Please enter a decimal)

The test statistic ? t z = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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