8
QuizMultiple Choice

Simple Random Sample — Quiz

Question 8 • Statistical Reasoning

Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to sample 10 of the 78 members and have them fill out a survey about the races. Which of the following procedures would produce a simple random sample?

Answer
A
Give each member a random number from 01 to 78. Use a random number table and select 10 unique two-digit numbers between 01 and 78. Survey these members about their race preference.
B
Give each member a unique number from 01 to 78. Use a random number table and select the first 10 numbers between 01 and 78. Survey these members about their race preference.
C
Give each member a unique number from 01 to 78. Use a random number table and select 10 unique two-digit numbers between 01 and 78. Survey these members about their race preference.
D
Give each member a unique number from 01 to 78. Use a random number table and select the first 10 two-digit numbers between 01 and 78. Survey these members about their race preference.

Explanation

A simple random sample gives every group of 10 members an equal chance of being selected. In A, each member has a unique number, and the random-number table is used to select 10 different numbers, so exactly 10 distinct members are chosen at random. B might select the same number more than once, while D does not ensure each member has a unique number.

AI-written and checked against the verified answer.

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