$1)$ A cattle feedlot operator has collected data for $40$ matched pairs of cattle showing weight gain on twodifferent feed supplements. His purpose in collecting the data is to determine whether there is adifference in the median weight gains for the two supplements. He has no preconceived idea aboutwhich supplement might produce higher weight gain. He wishes to test using an

level.

Assuming that the T $-$value for these data is $480,$ what should the operator conclude concerning whichsupplement produces higher weight gain? Use the large$-$sample Wilcoxon matched$-$pairs signed ranktest normal approximation. Conduct the test using a p $-$value approach.