Manufacturers of a rugby balls brand claims that their ball go the fastest. A rugby coach decided to conduct a test on the speed of the ball. He randomly selected 20 rugby players and randomly assigned to them five balls, one from each of five brands. Each rugby player played the assigned brand of ball, and the speed of the ball (in km per hour) are displayed in the table below: Brand A Brand B Brand C Brand D Brand E 68 72 65 69 65 76 70 69 66 60 77 65 59 68 59 70 62 65 58 64 4.1 Using SAS JMP or R can we infer at the 5 % level significance that the variances are equal? Explain your answer. (10) 4.2 State the appropriate null and alternative hypotheses for this test. (2) 4.3 What is the value of the test statistic? (3)