8
QuizMultiple Choice

Simple Random Sample

Question 8 • CR02201A Probability and Statistics

The CEO of a company wants to determine whether taking the employees to a company retreat would boost their morale. He decides to survey a simple random sample of 50 of the 250 employees. Which of the following options would guarantee a simple random sample?

Answer
A
asking the first 50 employees who come to work on Monday morning to take the survey
B
telling the managers in each of the 5 departments to randomly select 10 people to take the survey
C
giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey
D
sending an email to all 250 employees asking them to complete the survey within the next couple of days

Explanation

A simple random sample gives every group of 50 employees an equal chance of being selected. Numbering all 250 employees and randomly selecting 50 makes that possible. The first 50 to arrive are chosen by convenience, department-by-department selection may not give every possible group of 50 an equal chance, and an email survey relies on employees choosing whether to respond.

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