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

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

a. Express E(X̅..) in terms of µ.

b. Determine E (XÌ…2i).

c. Determine E (X̅2̤ ).

d. Determine E (SSTr) and then show that

Σμ- μ ΕMSTr)- σ + I- 1

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 (2?

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