Ken Black

* 7.2)

Make a list of 20 people you know. Include men and women, various ages, various educational levels, and so on. Number the list and then use the random number list in Table 7.1 to select six people randomly from your list. How representative of the population is the sample? Find the proportion of men in your population and in your sample. How do the proportions compare? Find the proportion of 20-years-olds in your sample and the proportion in the population. How do they compare?

Solution:

The lists of 20 people are:

1. Ajith - 23 years

2. Rajesh - 38 years and a bachelor

3. Pallavi - 34 years

4. Kamal - 48 years and married

5. Fatima - MBA

6. Raman - ICWA

7. Geetha - MSc Maths

8. Daisy - PhD;

9. Raja - 18 years

10. Robin - 65 years and a pensioner;

11. Monica - 45 years

12. Annie - 38 years;

13. Rohit - BBA

14. Radhey - School dropout

15. Saakshi - BEd

18. Nargis - MCom

17. Sunil - MBA/29 years

18. Vilas - MBBS/48 years

19. Paalki - MSc/27 years

20. Jaya - LLB/35 years.

The random numbers as per the table are:

In the first row of digits the first number is 91. This number is out of range so it is cast out. The next two digits are 56, which is followed by 74. All of these numbers are out of range. 23 and 95 are also out of range. Next, we find 27, 95 and 83 being out of range. The first relevant number falling in the range is 01 and this number is associated with Ajith. So Ajith is the first person to be selected into the sample. Continuing with the same range, the next relevant number relating to the sample is 04 which is a usable one. This is the number for Kamal, who is also selected into the sample. Next we get the number 02 which brings Rajesh into the sample. Therefore we have already selected 3 people out of a total of six.

The next relevant numbers are 09, 18 and 10. In between we get some repeated numbers like 18 and 02 which have not been considered while selecting the people for the sample. As a resulting...