Two samples of rats are timed for their maze running time. One group is taking a drug and the other is not . The times are given in the following table : Rats with drug Rats w/o drug 15 11 12 13 13 12 10 11 11 Determine whether the use of the test drug results in a different maze running time . Use the .05 level of significance Let X] denotes maze running time for rats with drugs and let x, denotes maze running time for rats without drugs We consider ( X], *2 ) Bivariate Normal ( H, , H2) ; , 0, , Pi OUR TEST HYPOTHESIS IS : I. Null Hypothesis Ho : H H, =0 or ud = 0 II. Alternative Hypothesis : H - H,0 or udF 0 III . Level of Significance O = 0.05 IV. Critical Value: 2.571 P -value : 0/9534 V. T-Test Rats with Rats without Difference Drugs ( X ) (x) Drugs ( x - X ) ( x - x62 11 0.17 A 0.0289 12 13 4.83 23.3289 13 4 0.17 0.0289 12 6 6 2.17 4.7089 10 11 -1 -4.83 23.3289 11 0 11 7.17 51.4089 23 2(x- x 62=102.8334 N * - X, - n= 6 X d = Sd= C. G . C