Montreal Alouettes quarterback Anthony Calvillo passed for over 6000 yards in the 2004 season, becoming only the third player to do so during the regular season in the Canadian Football League. While discussing this exploit one day, a friend of yours claims that Calvillo's average passing yards per season exceeds 3000. Curious, you collect a random sample of passing yards from his career statistics and find the following:
Year Yards Year Yards
1996 2571 2004 6041
1997 2177 2006 4714
1999 2592 2007 3608
2001 3671 2009 4639
2002 5013 2010 4839
Please conduct a complete hypothesis test to determine if Anthony Calvillo's passing performance in a given season does indeed exceed 3000 yards. Conduct this test at the 97.5% confidence level and determine the p-value.