Random Sampling and Data Collection

AP Statistics· difficulty 1/5

A high school principal wants to estimate the average number of hours per week that students spend on homework. She obtains a list of all 1,200 students from the registrar, assigns each student a number from 1 to 1,200, and uses a random number generator to select 60 distinct numbers. The students corresponding to those numbers are surveyed about their weekly homework hours.

Population: 1,200 students Numbered 0001-1200 Random number generator SRS of 60 students Every group of 60 equally likely

Which sampling method is being used?

  • A

    Cluster sample

  • B

    Stratified random sample

  • C

    Simple random sample

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  • D

    Systematic sample

Explanation

Every group of 60 students has an equal chance of being selected because the principal randomly draws 60 distinct numbers from the full roster. This is the defining property of a simple random sample.

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