Concept explainers
a)
To explain whether there is an association between the number of calories and the sodium content of cereals.
a)
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:
Formula:
Test statistic:
The null and alternative hypotheses:
Test statistic:
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 explain whether the association is strong enough to be useful.
b)
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:
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.
Chapter 27 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
STATS:DATA+MODELS-W/DVD
Elementary Statistics (13th Edition)
Elementary Statistics
Fundamentals of Statistics (5th Edition)
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