DATA EXPLORATION Nitrogen in tires-a lot of hot air? Most automobile tires are inflated with compressed air, which consists of about 78% nitrogen. Aircraft tires are filled with pure nitrogen, which is safer than air in case of fire. Could filling automobile tires with nitrogen improve safety, perfor- mance, or both? Consumers Union designed a study to test whether nitrogen-filled tires would maintain pressure better than air-filled tires. They obtained two tires from cach of several brands and then filled one tire in each pair with air and one with nitrogen, All tires were inflated to a pressure of 30 pounds per square inch and then placed outside for a year. At the end of the year, Consumers Union measured the pressure in cach tire. 'The amount of pressure lost (in pounds per square inch) during the year for the air-filled and nitrogen-filled tires of cach brand is shown in the table below, " Brand Air Nitrogen Brand Air Nitrogen Pirelli P6 Four Seasons Sumitomo HTR H4 BF Goodrich Traction T/A HR 7.6 7.2 4.4 4.2 Bridgestone HP50 (Sears) 3.8 2.5 1.4 2.1 Bridgestone Potenza GO09 Bridgestone Potenza RE950 Bridgestone Potenza ELA00 3.7 1.6 Yokohama Avid H4S 4.3 3.0 4.7 1.5 BF Goodrich Traction T/AV 5.5 3.4 2.1 1.0 Bridgestone Potenza RE950 4.1 2.8 Continental Premier Contact H 4.9 3.1 Continental ContiExtreme Contact 5.0 3.4 Cooper Lifeliner Touring SLE 5.2 3.5 Continental ContiProContact 4.8 3.3 Dayton Daytona HR 3.4 3.2 Cooper Lifeliner Touring SLE 3.2 2.5 Faken Ziex ZE-512 4.1 3.3 General Exclaim UHP 6.8 2.7 Fuzion Hrl 2.7 2.2 Hankook Ventus V4 H105 3.1 1.4 General Exclaim 3.1 3.4 Michelin Energy MXV4 Plus 2.5 1.5 Goodyear Assurance Tripletred 3.8 3.2 Michelin Pilot Exalto AS 6.6 2.2 Hankook Optimo H418 3.0 0.9 Michelin Pilot HX MXMA 2.2 2.0 Kumho Solus KH16 6.2 3.4 Pirelli P6 Four Seasons 2.5 2.7 Michelin Energy MXV4 Plus 2.0 1.8 Sumitomo HTR 3.7 4.4 Michelin Pilot XGT H4 1.1 0.7 Does filling tires with nitrogen instead of compressed air reduce pressure loss? Give appropriate graphical and numerical evidence to support your answer.