10. In single-factor ANOVA with I treatments and J observations per treatment, let m  (1/I)

a. Express in terms of m. [Hint: 

(1/I) ]

b. Compute . (Hint: For any rv Y, E(Y2) 

V(Y)  [E(Y)]2.)

c. Compute E1X2 . ## 2 E1X2i

# 2 gXi#

E1X## 2 X##

gmi#

d. Compute E(SSTr) and then show that

e. Using the result of part (d), what is E(MSTr)

when H0 is true? When H0 is false, how does E(MSTr) compare to s2?