This post will be a relief to the anti-NHST people
It´s easy to get a i.i.d. sample pair from the same Population and notwithstanding their mean values leading to a indisputable rejection they are equal by T test. It´s enough to from a large amount (8000) of N(0,1) data to chose the 51 smaller and the 51 larger values, then to evaluate T concerning the difference on Population mean values. I performed 4 times and obtained (smaller-larger) for the 95% , 2 tails, left bound: ______T= -77.863, -86.345, -92.664, -107.836. Knowing that (for 100 df) the critical values are lesser than -2.000, +2.000 which are the bounds relative to 60 df, we must conclude that the Population means are indisputably different one another, WHICH IS REALLY WRONG BY CONSTRUCTION! Appreciate how much I am anti-NHST friend! Indeed . . .