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:
b. Since you randomly select this number from 1 to "k":
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:
Then, you can create this systematic sample:
![\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]()
Hence, the answers are:
a.
b.
![\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]()