Given the following pairs of scores from dependent samples:Pair: 1 2 3 4 5 X: 4 4 6 5 9 Y: 5 2 3 1 6 (a) State formally thehypotheses necessary to conduct a non-directional test of nodifference between the two population means. (b) Calculate t usingFormula 15.5. t=Dbar-ud/square root sum of D squared - (sum ofd)2/n / n(n-1) (c) Calculate t using formula 15.3. t= (xbar -ybar)- (ux-uy)hyp/ square root s2x + s2y - 2rsbarsybar (d) Complete thetest at the .05 and .01 levels of significance and state yourconclusion.