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P. 2.2 Consider three students with the following distribu- tions of 24 quiz scores: Amanda: 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 Barney: 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7. 7. 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10 Charlene: O, 0, 0, 0, O, 0, 0,0, 0, 0, 0, 0, 10, 10, 10, 10, 10,10,10,10,10,10,10,10 Answer the following without bothering to do any calcula- tions. Explain your choices. a. Which student has the smallest standard deviation of quiz scores? b. Which student has the largest standard deviation of quiz scores? Penalties with replacement refs P.2.6 Refer to Exercise P.2.5. The pair of P.2.6 dotplots displays data on timber of penalties called in the game, again separated by the type of referee. Summarize what these reveal about whether the two types of referees differ with regard to the distributions of this variable. P.3.5* Suppose that baseball Team A is better than base- ball Team B. Team A is enough better that it has a 2/ 3 probability of beating Team B in any one game, and this probability remains the same for each game, regardless of the outcomes of previous games. 3. Explain what it means to say that Team A has a 2/3 prob- ability of beating Team B in any one game. b. If Team A plays Team B for 3 games, is Team A guaran- teed to win exactly twice? c. If Team A plays Team B for 30 games, is Team A guaran- teed to win exactly 20 times? d. If Team A plays Team B for 30 games, do you think it's very likely that Team A will win exactly 20 times? Explain. 0. L 8 NFL replacement referees' P.2.5 In the 2012 National Football League (NFL) season, the rst 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 regiar referees. For example, did games generally take less or more time to play with replacement referees than with regular referees? The pair of P25 dotplots displays data n. o , . chuh, a no u nun. o u u n I?\" 1 MI I'll 2| I] Duralmn (mum) Replasemcnt Refs? Rupimumenl . 21!} 220 I'll EXEHClSl P? s 14H .- 4- .. a. so. an- Regular Replaccmcnl Rcis'! . =r~ 400 . u a 4.. 10.0!!! a. .- .... . . a... u. a 4.... a u g 4.. Repiacemenl i 12 15 2| 'l'ulal penalties EXERCISE P.2.6