Question
One characteristic measured about high schools is the percent freelunch, which is the percentage of the student body that is eligible for free andreduced-price lunches.
One characteristic measured about high schools is the percent freelunch, which is the percentage of the student body that is eligible for free andreduced-price lunches. The top 100 schools, grouped according to their percent freelunch, is as shown in the accompanying table.
a. Use the table to design a procedure for obtaining a stratified sample(with proportionalallocation) of 25 high schools from the list of the top 100 ranked schools.
A.
Randomly choose a group that has at least 25 schools and then use a random number generator to choose 25 schools from that group.
B.
Choose 44/100 of the sample from 0-under10, choose 18/100 of the sample from 10-under20, choose 11/100 of the sample from 20-under30, choose 9/100 of the sample from 30-under40, and choose 18/100 of the sample from 40orover. Multiply each fraction by 25 to get the sample size for eachgroup, adjusting the values to integers if needed. Then use a random number generator to select the chosen number of schools from each group.
C.
Number the group 0-under10 from 1 to 44, number the group 10-under20 from 45 to 62, number the group 20-under30 from 63 to 73, number the group 30-under40 from 74 to 82, number the group 40orover from 83 to 100. Then use a random number generator to choose 25 numbers from 1 to 100.
D.
Randomly choose groups until the total number of schools in the groups that have been selected is at least 25. Then use a random number generator to choose 25 schools from those groups.
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