A university system has a total of 40 new computers to distribute to each of its three campuses. After preregistration, the enrollment at each of the campuses was the value shown in second column of the table below together with the apportionment of the computers in the third column according to the Hamilton method. Final enrollment at each of the campuses is shown in the fourth column of the table with the percent increase in enrollment over the preregistration values in the fifth column. Determine whether a population paradox will occur in the reapportionment of the computers according to final enrollments. If it does, which campus loses a computer in the reapportionment? Campus Preregistration Enrollment Apportionment of 40 Computers Based on Preregistration Enrollment Final Enrollment % Increase in Final Enrollment Over Preregistration Enrollment A 354 4 369 4.24% B 1,054 10 1080 2.47% C 2,598 26 2612 0.54% a. The paradox will occur and Campus A will lose a computer. b. The paradox will occur and Campus B will lose a computer. c. The paradox will occur and Campus C will lose a computer. d. The paradox will occur and Campus A and Campus C will each lose a computer. e. The paradox will not occur

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 22PPS

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A university system has a total of 40 new computers to distribute to each of its three campuses. After preregistration, the enrollment at each of the campuses was the value shown in second column of the table below together with the apportionment of the computers in the third column according to the Hamilton method. Final enrollment at each of the campuses is shown in the fourth column of the table with the percent increase in enrollment over the preregistration values in the fifth column. Determine whether a population paradox will occur in the reapportionment of the computers according to final enrollments. If it does, which campus loses a computer in the reapportionment?

Campus	Preregistration Enrollment	Apportionment of 40 Computers Based on Preregistration Enrollment	Final Enrollment	% Increase in Final Enrollment Over Preregistration Enrollment
A	354	4	369	4.24%
B	1,054	10	1080	2.47%
C	2,598	26	2612	0.54%

	a.	The paradox will occur and Campus A will lose a computer.
	b.	The paradox will occur and Campus B will lose a computer.
	c.	The paradox will occur and Campus C will lose a computer.
	d.	The paradox will occur and Campus A and Campus C will each lose a computer.
	e.	The paradox will not occur.