Suppose we want to estimate the average weight of children in a particular schoo

Question

Suppose we want to estimate the average weight of children in a particular school district. The district contains 15 elementary schools, 10 middle schools, and 2 high schools. For each of the following approaches, select the best description of the sampling design, and identify whether the sampling scheme ensures that the probability of being included is necessarily the same for every student.

Take a simple random sample of 5 schools in the district. For each school in the sample, list all the homerooms. Take a simple random sample of 3 homerooms from each school in the sample. For each homeroom in the sample, list the students. Take a simple random sample of 10 students from each homeroom in the sample. List their weights. Combine the lists and average the results.

A: a simple random sample

B: a systematic random sample

C: a stratified random sample

D: a random cluster sample

E: a random stratified cluster sample

F: a multistage random sample

G: a multistage random cluster sample

H: a random stratified multistage cluster sample

I: a systematic sample J: another non-probability sample

(choose 1)

Explanation / Answer

Answer: This is a multistage random cluster sample . Option G)

because randomly selects the 5 schools(i.e. primary sampling unit) at the first stage and then within the school (i.e. primary sampling unit) randomly selects the 3 home rooms (i.e. final sampling unit) at the second stage.

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