Choose one answer from A to J for Q9 and Q11 Choose one answer from A to J for Q

Question

Choose one answer from A to J for Q9 and Q11

Choose one answer from A to J for Q9 and Q11

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 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 (Q6) (Q5) E: a random stratified cluster sample A: Probabilities undefined or not necessarily equal v B. List all the students in the school district. Average the weights of the first 200 students on the list (Q8) (Q7) J: another non-probability sample A: Probabilities undefined or not necessarily equal C. List all the students in the school district. Average the weights of every 50th student on the list (Q9)? A: Probabilities undefined or not necessarily equal v (Q10) D. List all the students in the school district. Average the weights of every 50th student in the district, starting with a student selected at random from the first 50 students (Q11) 2 B: Probabilities equal (Q12) 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

Explanation / Answer

Q9) (option I) a systematic sample

here the sample is selected according to fixed periodic interval.but the probability of inclusion is not same for all students since the 50th,100th,150th students etc.. are preferred to be selected over all the others.

Q11

is systematic random sampling.(option B)

systematic random sampling ensures each unit has equal probability of inclusion in the sample.Also first unit is selected randomly(with the help of random numbers) and the remaining is selected according to predefined pattern.(suppose first selected is i, here we will add 50 to that i and select that student ,ie we will select

i,i+50,(i+50)+50,...)

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