Respuesta :
Given that:
- The department has an alphabetical list of all 4924 employees at the company.
- The department wants to conduct a systematic sample of size 60.
a. Knowing that the size of the systematic sample is 60, and knowing the total number of employees, you can determine that:
[tex]k=\frac{4924}{60}\approx82[/tex]b. Since you randomly select this number from 1 to "k":
[tex]11[/tex]You have to select every 82th person (given by the value of "k"). You need to start with person number 11 and end with the person number:
[tex](82)(60-1)=4838[/tex]Then, you can create this systematic sample:
[tex]\lbrace11,93,175,257,339,421,503,585,667,749,831,913,995,1077,1159,1241,1323,1405,1487,1569,1651,1733,1815,1897,1979,2061,2143,2225,2307,2389,2471,2553,2635,2717,2799,2881,2963,3045,3127,3209,3291,3373,3455,3537,3619,3701,3783,3865,3947,4029,4111,4193,4275,4357,4439,4521,4603,4685,4767,4838\rbrace[/tex]Hence, the answers are:
a.
[tex]k\approx82[/tex]b.
[tex]\lbrace11,93,175,257,339,421,503,585,667,749,831,913,995,1077,1159,1241,1323,1405,1487,1569,1651,1733,1815,1897,1979,2061,2143,2225,2307,2389,2471,2553,2635,2717,2799,2881,2963,3045,3127,3209,3291,3373,3455,3537,3619,3701,3783,3865,3947,4029,4111,4193,4275,4357,4439,4521,4603,4685,4767,4838\rbrace[/tex]