9. 9320 Statistical ringers? At a university's annual picnic, 18 students in the mathematics/statistics department decide to play a softball game. Twelve of the 18 students are math majors and 6 are statistics majors. To divide into two teams of 9, one of the professors put all the players' names into a hat and drew out 9 players to form team Fisher, with the remaining 9 players forming team Newton. The players were surprised when all of the statistics majors ended up on team Fisher. (a) Find the number of ways in which a random selection of 9 students for team Fisher would result in all 6 statistics majors (and 3 math majors) being selected. (b) Find the probability that a random selection of 9 students for team Fisher would result in all 6 statistics majors being selected. (c) Is there convincing evidence that the professor didn't mix the names well before drawing them out of the hat? Explain.

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9.
og 320
Statistical ringers? At a university's annual picnic, 18 students in the
mathematics/statistics department decide to play a softball game. Twelve
of the 18 students are math majors and 6 are statistics majors. To divide
into two teams of 9, one of the professors put all the players' names into a
hat and drew out 9 players to form team Fisher, with the remaining 9
players forming team Newton. The players were surprised when all of the
statistics majors ended up on team Fisher.
(a) Find the number of ways in which a random selection of 9 students for team
Fisher would result in all 6 statistics majors (and 3 math majors) being
selected.
(b) Find the probability that a random selection of 9 students for team Fisher
would result in all 6 statistics majors being selected.
(c) Is there convincing evidence that the professor didn't mix the names well
before drawing them out of the hat? Explain.
Transcribed Image Text:9. og 320 Statistical ringers? At a university's annual picnic, 18 students in the mathematics/statistics department decide to play a softball game. Twelve of the 18 students are math majors and 6 are statistics majors. To divide into two teams of 9, one of the professors put all the players' names into a hat and drew out 9 players to form team Fisher, with the remaining 9 players forming team Newton. The players were surprised when all of the statistics majors ended up on team Fisher. (a) Find the number of ways in which a random selection of 9 students for team Fisher would result in all 6 statistics majors (and 3 math majors) being selected. (b) Find the probability that a random selection of 9 students for team Fisher would result in all 6 statistics majors being selected. (c) Is there convincing evidence that the professor didn't mix the names well before drawing them out of the hat? Explain.
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Given that 12 of the 18 students are math majors and 6 are statistics majors. 

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