4. (10 marks in total) A nostalgic hockey fan wanted to compare the 4 teams that became part of the NHL in 19T9. The fan measured the wiiming percentage (in decimal form) for eight randomly selected seasons for each team. Use the tables below to help answer the questions. Source of Variation F-Statistic 0-3035 0-1012 0-001 mn -_ Group Team Conference Country Mean St. Dev. Edmonton Oilers Western Canada 0.6499 0.0944 Hartford Whalers Eastern U. s \"A 0. 4092 0.0654 _QubecNordi-ues 04894 0.1625 Wirmipeg Jets Westeln Canada 0'. 4135 0.1090 a) (2 marks) Dene a linear combination of the four population means that compares the overall average winning percentage for the Western teams to the overall average wirming percentage for the Eastern Conference teams (mean for Western mean for Eastern). b) (3 marks) Calculate a 95% condence interval for the linear combination in part (a). Based on the interval, do the Western conference teams have a different overall winning percentage than the Eastern teams? 'Why or why not? 1:} (5 marks) Repeat parts (a) and (b) by creating a linear combination of the four means to compare Canadian and U.S. teams (mean for Canadians mean for U.S.). Then, based on the interval= do Canadian teams have a different overall \"inning percentage than the American teams? Why 01' why not