Question

For the population {0,1,2,3,5,7},

i) List all the sample random samples of 5. ii) Give an example of a systematic sample of size 3 where the elements are listed in the order:0,1,2,3,5,7 iii) Give an example of a proportional stratified sample of size 3 where the strata are {0,1,2,3},{5,7}. iv) Give an example of a cluster sample size 2 where the clusters are {0,1},{2,3},{5,7}

Answer 1

i) taking different possible random samples of size 5 : {0,5,2,3,1} ,{7,5,1,3,2}, {0,7,3,2,5}, {1,0,5,7,3},{5,0,2,1,7},{2,1,3,0,7}

ii) {0,1,2},{3,5,7}

iii) {0,3,2}

iv) {0,1},{2,3}