Let X1, ..., Xn be i.i.d. Gaussians with 0 expectation. Verify the decomposition n X? = Q1 +Q2 i=1 where n-1 Q1 = C(Xi - X)2 es Q2 = ( Xn - X)2+nx2. i= Apply the Fisher-Cochran theorem for this decomposition, and find out whether Q1 and Q2 are independent x2-distributed or not