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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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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