Question

look at the data set that is summarized in the ANOVA table.

Source	d.f.	Sum of Squares	Mean Square	F
Treatment		1141
Error		322	23
Total	17

We want to test hypothesis

H₀ : μ₁  = μ₁  =  …  =  μ_k    vs   H₁ : μ_i  ≠ μ_j   for at least one pair (i, j)

(a)	What is the value of the test statistic?

(b)	What is the 5% critical value?

Answer 1

a)

We know that,

where

Now,

Also,

So,

Thus

So, which is the value of the test statistic.

b)

Now, the critical value is given by: