Let sx2=n11i=1n(xix)2.

Using the following 3 facts, show that^(n1)sx211^1Tn2 i.e. that it is a Student distribution with (n-2) degrees of freedom.

1. 1^1^1N(0,1)
2. (n2)V(1^)V^(1^)=(n2)2^2(n2)2
3. T=n2(n2)2Z

I think I am able to correctly arrive at the conclusion that:

1^1^1T(n2)

However, I am not sure how this proves the initial statement (i.e. how this result is equal to the original expression).