Question

A certain company has five departments, A, B, C, D, and E. The number of employees in each department is 10, 10, 20, 30, and 30, respectively. A sample of 10 employees from all employees will be selected. Of the following descriptions of sampling procedures, which is most likely to introduce a potential source of bias?
Randomly select 10 employees from department C
A

Randomly select 10 employees from all 100 employees
B

Randomly select 2 employees from each of the five departments
C

Randomly select 1 employee from each of A and B, 2 employees from C, and 3 employees from each of D and E
D

Randomly select every tenth employee from a randomized list of names of all employees

Answer 1

Answer:

There is more source of bias in B and E

Step-by-step explanation:

in case A:

we have to choose 10 employees from 20 employees of C

therefore number of ways = 20c10

in case B:

we have to choose 10 employees from 100 employees therefore no of ways = 100c10

in case C:

we have to choose 2 from each of the departments therefore no of ways =10c1×10c1×20c2×30c2×30c2

in case of D:

we have to choose 1 from A and B 2 from C and 3 from each of D and E

therefore no of ways= 10c1×10c1×20c2×30c3×30c3

in case of E:

we have to choose 10 from 100 employees  therefore no of ways= 100c10

since we have case B and D greater than every other case we have modt chance of bias in case of B and D