THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In a stratified random sample of students on a campus,sample members were asked to rate,on a scale of 1 (poor)to 5 (excellent),opportunities for improving the college infrastructure.The results are shown in the table below.

-If a total sample of 150 students is taken,determine the number of freshmen and sophomores under the optimum allocation scheme,assuming that the stratum population standard deviations are the same as the corresponding sample values.
A)89.15
B)71.86
C)38.48
D)60.85

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In a stratified random sample of students on a campus,sample members were asked to rate,on a scale of 1 (poor)to 5 (excellent),opportunities for improving the college infrastructure.The results are shown in the table below.
 
-If a total sample of 150 students is taken,determine the number of freshmen and sophomores under the optimum allocation scheme,assuming that the stratum population standard deviations are the same as the corresponding sample values.
A)89.15 
B)71.86 
C)38.48 
D)60.85

Quizplus · Accepted Answer

The optimum allocation scheme involves allocating samples to strata in proportion to the standard deviation and size of the strata. Since the standard deviations are the same, the allocation is proportional to the size of the strata. The correct calculation results in approximately 89.15 freshmen.