Question bank / Inference from sample statistics and margin of error

Math · Problem-Solving and Data AnalysisEasy

A school administrator wants to estimate the average number of hours per week that the school's 2,4002{,}400 students spend on homework. Which of the following sampling methods is most likely to produce a sample that represents all students at the school?

A

Randomly selecting 100100 students from a list of all students at the school

B

Surveying the first 100100 students who arrive at the library

C

Surveying all 100100 students in the honors program

D

Asking for 100100 volunteers through the school newsletter

Show answer and explanation

Answer: A

A sample represents a population best when every member of the population has an equal chance of being selected. Randomly selecting from a complete list of students does this. The other methods favor groups, such as library users or honors students, who may study more than typical students.

Choice D gives a sample of the right size, but volunteers choose themselves and may differ from typical students.

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