Question

Below is output from an ANOVA on “Age” and the number of children living in the...

Below is output from an ANOVA on “Age” and the number of children living in the home (“ChildrenInHome”). Describe what this output is telling us about the relationship “between groups”.

ANOVA

ChildrenInHome

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

158.082

47

3.363

4.182

.000

Within Groups

189.816

236

.804
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Answer: There are significantly different number of children in 48 different homes. That is, there exists at least one home for which mean number of children is significantly different from others.

Explanation:

Null Hypothesis, Ho: There is no significant difference in the mean number of children living in 48 different homes.

Alternative Hypothesis, Ha: There exists at least one home for which mean number of children is significantly different from others.

Decision: SInce p-value = 0.000 is very very low so we Reject the Null Hypothesis.

Conclusion: We conclude that there exists at least one home for which mean number of children is significantly different from others.

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