4. A basketball championship tournament is held each year. The following table are the results of matches between Team A and Team B. Match Score of Team A Score of Team B Home Team 1 30 27 Team A 2 73 62 Team A 76 78 Team B 4 51 43 Team B 44 40 Team A 6. 84 67 Team A 7 69 54 Team B 8. 60 63 Team A 68 55 Team A 10 70 62 Team A 11 50 54 Team B 12 86 65 Team A 13 56 50 Team A 14 77 68 Team B 15 64 68 Team B 16 81 75 Team A The victory margin of Team A in a game is defined as the difference of the score of Team A to the score of Team B (i.e., score A score B). Assume a = 0.05 for all the following tests. (b) Test the hypothesis that the standard deviation of the victory margin of Team A is more than 5 points.