Paper 1 · Research Aptitude
UGC NET December 2022 (04.03.2023) Shift-II
Given below are two statements. Statement I: ANOVA is essentially a procedure for testing the difference among different groups of data for homogeneity. Statement II: Using ANOVA one can draw the inference about whether the samples have been drawn from populations having the same mean. 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 — Both statements are true, so the answer is that both Statement I and Statement II are true.
Explanation
★Both statements are true, so the answer is that both Statement I and Statement II are true.
★ANOVA compares the means of two or more groups.
★It tests whether the groups of data are homogeneous, so statement I is true.
★By comparing the group means it checks their variation.
★So it lets one infer whether the samples come from populations with the same mean.
★So statement II is also true.
★Therefore both statements are true.
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