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In the 2012 National Football League (NFL) season, the first three weeks’ games were
played with replacement referees because of
a labor dispute between the NFL and its regular
referees. Many fans and players were concerned with the quality of the replacement referees’
performance. We could examine whether data might reveal any differences between the three
weeks’ games played with replacement referees
and the next three weeks’ games that were
played with regular referees. For example, did gam
es generally take less or more time to play
with replacement referees than with regular referees? The pair of dotplots below displays data
about the duration of games (in minutes), separated by the type of referees officiating the game.
a) What proportion of the 48 games officiated by replacement referees lasted for at least
3.5 hours (210 minutes)? What proportion of the 43 games officiated by regular referees
lasted for this long?
b) What proportion of the 48 games officiated by replacement referees lasted for less than
3 hours (180 minutes)? What proportion of the 43 games officiated by regular referees
c) Would you say that either type of referee tended to have longer games than the other on
average? If so, which type of referee t
ended to have longer games, and by about how
much on average?
d) Would you say that either type of referee tended to have more variability in game
durations? If so, which type of referee tended to have more variability?
e) Write a paragraph in which you compare the distributions of game durations between the
two types of referees. Be sure to comment on shape, center, variability, and unusual
observations.
