Which, if any, pair of sides are parallel? AB II DC and AD II BC Cannot be determined AB II DC only AD II BC only
1 answer:
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Answer:
Correct option: B. Less between group variability
Step-by-step explanation:
The Analysis of Variance (ANOVA) test is performed to determine whether there is a significant difference between the different group mean.
The hypothesis is defined as:
<em>H₀</em>: There is no difference between the group means, i.e. <em>μ</em>₁ = <em>μ</em>₂ = ... = <em>μ</em>ₙ
<em>Hₐ</em>: At least one of the mean is different from the others, i.e. <em>μ</em> ≠ 0.
The test statistic is defined as:
If the null hypothesis is true then the test statistic will be small and if it is false then the test statistic will be large.
In this case it is provided that the null hypothesis is true.
This implies that:
Implying that the sum of squares for between group variability is less than within group variability.
Thus, if the null hypothesis is true there will be less between group variability.