7
QuizMultiple Choice

Other Sampling Methods

Question 7 • VA-Probability and Statistics

A band director is trying to decide what music to play for the halftime show. She surveys the marching band students to get their opinions about which music they would prefer. Which of the following sampling techniques would provide a stratified random sample that would accurately represent the students’ opinions?

Answer
A
Have a computer randomly sort the band members, then select the first 30.
B
Randomly select 2 students from each type of instrument (trumpet, saxophone, clarinet, etc.).
C
Randomly pick a letter of the alphabet and survey every student whose last name begins with that letter.
D
Randomly pick a year of students (freshman, sophomore, junior, or senior) and survey every student from the selected group.

Explanation

A stratified random sample divides the population into relevant groups, then randomly selects members from every group. Here, the instrument types are the strata, and choosing 2 students at random from each type includes opinions across the band. Selecting 30 students from the whole band is a simple random sample, while surveying one alphabet group or one year leaves out the other groups.

AI-written and checked against the verified answer.

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