Question

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 4247 employees at the company and wants to conduct a systematic sample of size 40 (a) What is k? k- 106 (b) Determine the individuals who will be administered the survey. Randomly select a number from 1 to k. Suppose that we randomly select 19. Starting with the first individual selected, the individuals in the survey will be 19. 125 231

Answer 1

Answer:

Step-by-step explanation:

Hello!

A systematic sample is a sampling type where, the population units are listed in a certain order, the first unit is randomly chosen from the first k number of units and then the subsequent units are selected in intervals of k. To calculate k, in case you know the population size, you have to divide the population size by the sample size (usually established based on previous information. Remember k is always a whole number.

a) k= pob/n= 4247/40= 106.175 ≅ 106

b) From the 106 individuals you have to randomly select the first unit. Then starting from it the next 39 individuals surveyed will be the +k

Using a random number calculator I've chosen the first individual to be surveyed as number 57 after that you have to add k= 106 to know wich are the next individuals to be sampled:

1) 57                          11) 1117        21) 2177       31) 3237

2) 57 + 106= 163      12) 1223      22) 2283    32) 3343

3) 269                      13) 1329      23) 2389     33) 3449

4) 375                       14) 1435      24) 2495     34) 3555

5) 481                        15) 1541       25) 2601     35) 3661

6) 587                       16) 1647      26) 2707     36) 3767

7) 693                       17) 1753       27) 2813      37) 3873

8) 799                       18) 1859       28) 2919     38) 3979

9) 905                       19) 1965       29) 3025    39) 4085

10) 1011                      20) 2071       30) 3131      40) 4191

I hope it helps!