Given below are two statements. In the light of the above statements, choose the correct answer from the options given below.
Statement I:ANOVA is essentially a procedure for testing the difference among different groups of data for homogeneity.
Statement II:Using ANOVA one can infer whether the samples have been drawn from populations having the same mean.
ABoth Statement I and Statement II are true ✓ Correct
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true
Correct answer: (A) Both Statement I and Statement II are true
Explanation
Both statements are true, so the correct answer is that Statement 1 and Statement 2 are both correct.
ANOVA is essentially a procedure for testing differences among several groups for homogeneity, confirming Statement 1.
It partitions total variance into between-group and within-group components.
Statement 2 is also true, since ANOVA lets one infer whether samples come from populations with the same mean.
A significant F-ratio indicates that at least one group mean differs from the others.
Post hoc tests then identify which specific means differ.
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