The population used in this exercise consists of 317 freshmen students enrolled

Question

The population used in this exercise consists of 317 freshmen students enrolled in the College of Education at North Carolina State University in the fall of 2006. Generate three possible methods for selecting a representative sample of size 20 from this population. Describe the three methods briefly but clearly. You must name the type of sampling (convenience etc) you are using in each case and how you would chose this sample. Use correct statistical vocabulary and proper grammar.

Sample Method 1:

Sample Method 2:

Sample Method 3:

Explanation / Answer

Ans: There are different method of sampling:

You can choose any 3:

Sample Method 1: Systematic: e.g.Choosing every 5th until getting 20..
Sample Method 2: Simple Random Sampling: Choosing any member of population.
Sample Method 3: Cluster: Putting these students in group and select.

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. Despite the sample population being selected in advance, systematic sampling is still thought of as being random if the periodic interval is determined beforehand and the starting point is random.

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. An example of a simple random sample would be the names of 25 employees being chosen out of a hat from a company of 250 employees. In this case, the population is all 250 employees, and the sample is random because each employee has an equal chance of being chosen.

Cluster sampling

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