Question

marsha wanted to know the average distance students at her school lived from the school. there are 320 students at her school. she had to decide what the best method to survey a random sample of students would be. which options above would produce a reliable random sample? i survey the first 20 students that get off the first bus ii survey all the students in ms. matthews class iii survey every 5th student that enters the school in the morning iv put all the students name in a hat and draw the 20 names out to see who will be surveyed a i, iii, and iv b iii and iv c iii d ii and iii

Explanation:

• Option I: Surveying the first 20 students off the first bus may be biased as students on the first - bus might live close to school.
• Option II: Surveying all students in one class (Ms. Matthew's class) is not a random sample of the whole school.
• Option III: Selecting every 5th student entering the school in the morning gives a systematic random sample.
• Option IV: Drawing 20 names from a hat with all students' names is a simple random sample.

Answer:

B. III and IV