Assume that the conclusion from an ANOVA is that the null hypothesis is rejected

Question

Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 7 population means are not all equal. We should expect that all 21 of comparisons of means X_i verus X_j would be significant using the Scheffe test. at least 7 of the comparisons of means X_i versus X_j would be significant using the Scheffe test. at least 4 of the comparisons of means X_i versus X_j would be significant using the Scheffe test. al least 1 of the comparisons of means x_i versus X_j would be significant using the Scheffe test.

Explanation / Answer

Correct Answer: Option (A) all 21 of the comarision of means .....

since there 7 population means, we have to compare each of two population means at at a time. So total number of possibilities 7C2 ways = 21 ways

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