Question

Prenumbered sales invoices are kept in a sales jounal. The invoices are numbered from 0001 to 5000 a. Beginning in row 28, column 11, and proceeding horizontally in the given random number table, select a simple random saaumoberd roceding horzontaly in the given random number table simple rand sample of 10 invoice numbers. b. Select a systematic sample of 10 invoice numbers. Use the random numbers in row 30, columns 16-18, as the starting point for your selection. c. Are the invoices selected in (a) the same as those selected in (b)? Why or why not? EEB Click the icon to view the table of random numbers a. Complete the list of the 10 invoice numbers that vil be selected tor the simple random sample below. List the terms in the same order as they appear in the original list)

Answer 1

(a) Since 5000 is a 4 digit number so we draw 4 digit number from row 28, column 11 and proceed horizontally and ignore 0000 and the number beyond 5000. The random numbers are:

7559 (rejected), 3413, 7349 (rejected), 5021 (rejected), 7972 (rejected), 8257 (rejected), 8163 (rejected), 6412 (rejected), 4783, 7622(rejected), 9965(rejected), 9310(rejected), 6583(rejected), 6136(rejected), 9889(rejected), 5886(rejected), 9295(rejected), 7157(rejected),1755, 5564(rejected), 6541(rejected), 1425, 4770,4570,3426,7293(rejected),7837(rejected)9291(rejected),6161(rejected),1075,8010(rejected),3078,3159.\\

10 selected invoice numbers are: 3413, 4783,1755, 1425,4770,4570,3426,1075,3078,3159.

(b)

Since 5000/10=500 is an integer, so we select a random number between 001 to 500. We ignore 000 and the random number above 500 and start from row 30 and column 16 row wise. The random numbers are:

425 (accepted).\\

So the first selected unit is invoice numbered 425.

2nd selected unit is invoice numbered (425+500)=925

3nd selected unit is invoice numbered (425+2*500)=1425

4th selected unit is invoice numbered (425+3*500)=1925

5th selected unit is invoice numbered (425+4*500)=2425

6th selected unit is invoice numbered (425+5*500)=2925

7th selected unit is invoice numbered (425+6*500)=3425

8th selected unit is invoice numbered (425+7*500)=3925

9th selected unit is invoice numbered (425+8*500)=4425

10th selected unit is invoice numbered (425+9*500)=4925

c. No. Since simple random sampling is purely probabilistic sampling however systematic sampling is a mixed sampling.