Problem 3. Suppose we want to estimate the average weight of children in a parti
ID: 3218498 • Letter: P
Question
Problem 3.
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.
A. 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 weights of all the students. Combine the lists and average the results.
(Q5) Pick one of the answer below A though J.
(Q6)
B. Take separate simple random samples of 3 elementary schools, 3 middle schools, and 2 high schools. For each school in the sample, list the weights of all the students. Combine the lists and average the results.
(Q7) Pick one of the answer below A though J.
(Q8)
C. Take a simple random sample of 5 schools in the district. For each school in the sample, list the weights of all the students. Combine the lists and average the result.
(Q9) Pick one of the answer below A though J.
(Q10)
D. List all the students in the school district. Average the weights of the first 200 students on the list.
(Q11) Pick one of the answer below A though J.
(Q12)
C: a stratified random sample 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 l: a systematic sample J: another non-probability sampleExplanation / Answer
A. 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 weights of all the students. Combine the lists and average the results.
(Q5) Pick one of the answer below A though J.
ANSWER:
G. a multistage random cluster sample
Q(6)
ANSWER:
A. probabilities undefined or not necessary equal
B. Take separate simple random samples of 3 elementary schools, 3 middle schools, and 2 high schools. For each school in the sample, list the weights of all the students. Combine the lists and average the results.
(Q7) Pick one of the answer below A though J.
ANSWER:
E. a random stratified cluster sample
(Q8)
ANSWER:
A. probabilities undefined or not necessary equal
C. Take a simple random sample of 5 schools in the district. For each school in the sample, list the weights of all the students. Combine the lists and average the result.
(Q9) Pick one of the answer below A though J.
ANSWER:
D. a random cluster sample
(Q10)
ANSWER:
B. Probabilities equal
D. List all the students in the school district. Average the weights of the first 200 students on the list.
(Q11) Pick one of the answer below A though J.
ANSWER:
A. simple random sample
(Q12)
ANSWER:
B. Probabilities equal
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