Question:

P.12

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.