Question

Be appreciated if you can solve this problem to me.
Following are the number of years of service for 40 employees in a company. The CEO wants to pick a sample of 10 to determine the average number of year of service.

Using the systematic random sampling pick out the sample of 10 starting with any point from the first column.

11 4 18 2 1 2 0 2
2 4 3 4 1 2 2 3
3 19 8 3 7 1 0 2
7 0 4 5 1 14 16 8
9 1 1 2 5 10 2 3

Answer 1

Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point and a fixed, periodic interval.

This interval, called the sampling interval, is calculated by dividing the population size by the desired sample size.

Here, we have

Population = 40, sample = 10

Thus, interval = 40/10 = 4

Thus, if we pick 1st then we will pick 5th, 9th, 13th..37th ( Pick elements at positions 1,5,9,13,17,21,25,29,33,37)

Picking in horizontal order, we get

(11, 1, 2, 1, 3, 7, 7, 1, 9, 5)