Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest in which contestants try to eat as many hot dogs as possible in 10 minutes. In 2011, over 30,000 people watched the event live on Coney Island, and it was broadcast live to many more on ESPN. The winner in 2011 was Joey Chestnut, who downed 62 hot dogs (with buns), for his fifth straight title. Before Joey, the reigning hot dog eating champion was Takeru Kobayashi of Japan. (Although many people compete in the contest, every contest since 2002 has been won by one or the other of these two men.) The winning number of hot dogs along with the year is shown in Table 2.21 and is available in the dataset HotDogs.

Table 2.21

Year...................................Hot Dogs
2011.......................................62
2010.......................................54
2009.......................................68
2008.......................................59
2007.......................................66
2006.......................................54
2005.......................................49
2004.......................................54
2003.......................................45
2002.......................................50

(a) Use technology to find the mean and the standard deviation of the 10 numbers.
(b) How many of the 10 values are above the mean? How many are above the mean for the 5 values in the earlier five years (2002–2006)? How many are above the mean for the 5 values in the later five years (2007–2011)?