Which of the Following Statements Are Not True?
A) the Single-Factor

Which of the following statements are not true?

A) The single-factor ANOVA model for comparing I population or treatment means assumed that for i=1,2,…..,I, a random sample of size $J _ {i}$
Is drawn from any population with mean $\mu _ { i }$
And variance $\sigma ^ { 2 }$
B) Let $N = \Sigma J _ { i }$
Be the total number of observations in a data set, and suppose we rank all N observations from 1 $\left( \text { the smallest } X _ { y } \right)$
To N $\left( \text { the largest } X _ { y } \right) \text {. }$
When $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \ldots . . = \mu _ { i }$
Is false, then some samples will consist mostly of observations having small ranks in the combined sample, whereas others will consist mostly of observations having large ranks.
C) Let $N = \Sigma J _ { i }$
Be the total number of observations in a data set, and suppose we rank all N observations from 1 $\left( \text { the smallest } X _ { y } \right)$
To N $\left( \text { the largest } X _ { y } \right) \text {. }$
When $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \ldots . . = \mu _ { i }$
Is true, the N observations all come from the same distribution, in which case all possible assignments of the ranks 1,2,…, N to the J samples are equally likely and we expect ranks to be intermingles in these samples.
D) All of the above statements are true.
E) None of the above statements are true.