Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 27, Problem 24E

a)

To determine

To test an appropriate hypothesis about the association between brain size and IQ.

a)

Expert Solution
Check Mark

Answer to Problem 24E

There is not sufficient evidence that the slope is non zero and there is no association between the Size and the IQ-Verbal.

Explanation of Solution

Given:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 24E , additional homework tip  1

Formula:

Test statistic:

  t=bβ0SEb

The null and alternative hypotheses:

  H0:β1=0Ha:β10

Test statistic:

  t=0.09884200.0884=1.118

The degrees of freedom = df = 18

Therefore, p-value would be,

P-value = 0.2783 …Using excel formula, =TDIST(1.118,18,2)

Decision: P-value > 0.05, fail to reject H0.

Conclusion: There is not sufficient evidence that the slope is non zero and there is no association between the Size and the IQ-Verbal.

b)

To determine

To state a conclusion about the strength of an association.

b)

Expert Solution
Check Mark

Answer to Problem 24E

The strength of the association is very weak.

Explanation of Solution

Given:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 24E , additional homework tip  2

The R-square = 6.5% which is very less. Therefore, the strength of the association is very weak.

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