A psychologist theorizes that our perceptions are altered by our physical state. In order to test this theory, she randomly selects 18 participants and then randomly assigns 6 of them to wear a 40 lb. backpack, 6 to wear a 5 lb. backpack, and the remaining 6 don't wear any backpack. She then takes all of the participants to the same trail and asks them to judge the distance from the beginning to the end of a mountain trail (see their responses below). No Backpack 5 lb. Backpack 40 lb. Backpack 5 8 9 10 6 14 3 10 11 7 8 19 5 7 13 6 9 18 M = 6 M = 8 M = 14 X2 = 1890 T = 36 T = 48 T = 84 SS =28 SS = 10 SS = 76 Conduct a hypothesis test with = .05 to determine whether there are any significant differences among the three groups