the president of the student council wants to survey the student population about parking. she decides to…

the president of the student council wants to survey the student population about parking. she decides to take a random sample of 100 of the 1,020 students at the school. she gets an alphabetical list of the students, and numbers them from 0001 to 1020. then, using a random number table, and starting at a random line, she selects 100 unique numbers between 0001 and 1020. is this a simple random sample?\nno, because the sample could contain repeating numbers.\nno, because the sample could contain numbers other than numbers between 0001 and 1020.\nyes, because each student and sample of 100 has the same chance of being selected.\nyes, because each student is represented by a 4 - digit number from 0001 to 1020.

the president of the student council wants to survey the student population about parking. she decides to take a random sample of 100 of the 1,020 students at the school. she gets an alphabetical list of the students, and numbers them from 0001 to 1020. then, using a random number table, and starting at a random line, she selects 100 unique numbers between 0001 and 1020. is this a simple random sample?\nno, because the sample could contain repeating numbers.\nno, because the sample could contain numbers other than numbers between 0001 and 1020.\nyes, because each student and sample of 100 has the same chance of being selected.\nyes, because each student is represented by a 4 - digit number from 0001 to 1020.

Answer

Answer:

Yes, because each student and sample of 100 has the same chance of being selected.

Explanation:

Step1: Recall simple - random sample definition

A simple random sample is one where every individual in the population has an equal chance of being selected.

Step2: Analyze the given sampling method

The student council president numbers all 1020 students from 0001 - 1020 and uses a random number table to select 100 unique numbers in the range. Each student has an equal probability of being picked as the selection is random and all students are numbered and eligible for selection. So, it is a simple random sample.