Answer to Question #135757 in Statistics and Probability for Shane Malayan

Question

Among the 250 employees of the local office of an international insurance company, 182 are whites, 51 are blacks, and 17 are Orientals. If we use proportional allocation to select a stratified random grievance committee of 15 employees, how many employees must we take from each race?

Answer 1

Given :

Total : 250

number of Blacks : 51

number of Whites 182

Number of Orientals: 17

Solution:

proportional allocation to select a stratified random grievance committee of 15 employees of Blacks= 51*$\frac{15}{250}= 3.06$ ~3

proportional allocation to select a stratified random grievance committee of 15 employees of Whites= 182*$\frac{15}{250}=10.92$ ~11

proportional allocation to select a stratified random grievance committee of 15 employees of Orientals: 17*$\frac{15}{250}=1.02$ ~1