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 23E

a)

To determine

To explain whether there is an association between the number of calories and the sodium content of cereals.

a)

Expert Solution
Check Mark

Answer to Problem 23E

There is sufficient evidence that the slope is non zero and there is association between number of calories and the sodium content of cereals.

Explanation of Solution

Given:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 23E , additional homework tip  1

Formula:

Test statistic:

  t=bβ0SEb

The null and alternative hypotheses:

  H0:β1=0Ha:β10

Test statistic:

  t=1.2935700.4738=2.730

The degrees of freedom = df = 75

Therefore, p-value would be,

P-value = 0.0079 …Using excel formula, =TDIST(2.730,75,2)

Decision: P-value < 0.05, reject H0.

Conclusion: There is sufficient evidence that the slope is non zero and there is association between number of calories and the sodium content of cereals.

b)

To determine

To explain whether the association is strong enough to be useful.

b)

Expert Solution
Check Mark

Answer to Problem 23E

The association between number of calories and the sodium content of cereals is not strong enough to be useful.

Explanation of Solution

Given:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 23E , additional homework tip  2

The R-square = 9.0% which is very less. Therefore, the association between number of calories and the sodium content of cereals is not strong enough to be useful.

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