Which of the Following Statements Are Not True Regarding the Model

Multiple Choice

Which of the following statements are not true regarding the model $X _ { y } = \mu + \alpha _ { i} + \beta _ { j} + \varepsilon _ { y }$ where $\sum _ { l = 1 } ^ { \prime } \alpha _ { 1 } = 0 \text { and } \sum _ { j = 1 } ^ { j } \beta _ { j } = 0 ?$

A) $\mu$
Is the true grand mean; that is, the mean response averaged over all levels of both factors A and B.
B) $\alpha _ { i }$
Is the effect of Factor A at level i.
C) $\beta _ { j }$
Is the effect of Factor B at level j.
D) $\varepsilon _ { y }$
Are assumed independent and normally distributed with mean 0 and variance 1.
E) All of the above statements are true.