Question

7) From a population of No. 900 elements, we would like to extract a sample of size n x 15. Using the random number table, designate which 15 individuals make up the sample.

Answer 1

First we need to number all elements in the population. Now using following random number table we draw a sample of size 15.

Our population contains 900 elements which is 3 digit number.

So we select 3 digit groups of number from random number table, starting at any row or any column.

I start with first row and first column. Moving down  the first column.

Each random number is five digit. Select only first 3 digit. Check whether this 3 digit number is less than or equal to 900. If yes then select that numbered element in sample otherwise go to next number.

1. 36518 , so we choose 365 th element in sample

2. 46132, select 461 th element

3. 31841,  select 318 th element

4. 84180 , select 841 th element

5. 78435, select 784 th element

6. 41859, select 418 th element

7. 13019, select 130 th element

8. 82448, select 824 th element

9. 25432, select 254 th element

10. 69226, select 692 th element

11. 25837, select 258 th element

12. 38914, select 389 th element

13. 04070, select 40 th element

14. 01674, select 16 th element

15. 70294, select 702 th element

Similarly you can draw random sample in any way.