When Null hypothesis is rejected in ANOVA then we expect that at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
In an ANOVA, the absence of a mean difference is always the null hypothesis.
If the test statistic from the table exceeds the F critical value with degrees of freedom in the k-1 numerator and N-k denominator, the null hypothesis will be rejected.
The means of all the groups are not equal, one deduces if the null hypothesis is rejected. Post-hoc analyses reveal to the researcher which groups differ from one another.
The goal of an ANOVA is to find out if there is a statistically significant difference between the groups if yes then at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
Option (d) is correct
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