In a school system with 25 elementary schools, the school board is considering t

Question

In a school system with 25 elementary schools, the school board is considering the adoption of a new policy and would like to know the opinion of the teachers from these schools. Because it would be impractical to interview every teacher from each of the schools, the school board wants to select a sample. Classify each sample below as random, systematic, stratified, or cluster. If you choose “stratified” then identify the strata, if you choose “cluster” then identify the clusters and if you choose systematic then identify m and k.

a. All teachers from two randomly selected schools are interviewed.

b. Randomly select 20 teachers from each elementary school to be interviewed.

c. Randomly select 50 teachers from the list of all teachers in the school system to be interviewed.

d. From the list in part c., interview every 5th teacher on the list starting with the 2nd.

Explanation / Answer

a) This will be a cluster sampling and clusters would be the 25 elementary schools.

b) This will be a stratified sampling and strata will be 25 elementary school.

c) This will be a random sampling.

d) This will be the systematic sampling with:

m = 5, k = 2

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