AnswersCR02201A Probability and StatisticsSimple Random SampleQuestion 6
6
QuizMultiple Choice

Simple Random Sample

Question 6 • CR02201A Probability and Statistics

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 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.
B
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.
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 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.

Explanation

A simple random sample gives every group of 10 members an equal chance of being selected. In C, each member has a unique number, and the 10 selected numbers are unique and chosen at random from 01 through 78. B may select the same number more than once, while D does not ensure that each member has a unique number.

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