12-13:

Penalties in ice hockey occur when a player breaks one of the rules of the game. In mostcases, when a penalty occurs, the offending player is placed in the penalty box (the length of timespent in the penalty box depends on the severity of the penalty), and the team has to play withfewer people on the ice, which can result in an advantage for the opposing team. The number ofpenalties per game for several randomly selected games are displayed for three college men's icehockey teams.Team Penalties n x sA 9 9 5 11 9 5 8.6 2.191B 7 3 5 1 5 5 4.2 2.280C 3 7 2 4 8 5 4.8 2.588Overall 15 5.87 2.973

12. Use the summary information to compute the three sums of squares needed for usingANOVA to test for a difference in mean number of penalties among these three teams.Round each to two decimal places. Between Groups = SSG = _____________________ Within Groups = SSE = ______________________ Total = SSTotal = _________________________

13. Construct the ANOVA table and test, at the 5% significance level, for a difference inmean number of penalties among these three hockey teams. Use two decimal places whenrounding decimal values. Include the details of your test.Source df SS MS FGroupsErrorTotal(Use the p-value approach Show 5 steps)Step 1: (Hypotheses)Step 2: (Standardized Test Statistic)Step 3: (P-value)Step 4: (Decision)Step 5: (Conclusion)