4.) At the 1976 Pro Bowl, Ray Guy, a punter for the Oakland Raiders, punted a ball that hung mid-air long enough for officials to question whether the football was filled with helium. The ball was found to be filled with air, but since then many have tossed around the idea that a helium-filled football would outdistance an air-filled one. Assume that some students conducted an experiment to test this myth. They used twenty eight footballs, half of which were filled with air and the other half filled with helium. For each trial an air filled football was kicked and then a helium filled football, and the distance each football trav- eled was recorded (in feet), according to the data table below (the air column gives distance air filled footballs traveled in feet and the helium column gives distance helium filled footballs traveled in feet). Assume that the underlying populations were normally distributed and these sample footballs are representative of their respective populations. Do we have convincing evidence that air filled footballs don't go as far as helium filled footballs when kicked? (assume these samples are not paired). Let Hair = average distance an air filled football is kicked Hhelium = average distance a helium filled football is kicked Use a = 0.05. trial helium HN MT L O N DO G O E N M E a) State the appropriate null and alternative hypotheses. b) Find the t test statistic and P-value. t= P-value = c) State the conclusion in the problem context