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
telling the managers in each of the 5 departments to randomly select 10 people to take the survey
B
giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey
C
sending an email to all 250 employees asking them to complete the survey within the next couple of days
D
asking the first 50 employees who come to work on Monday morning to take the survey
Explanation
A simple random sample gives every group of 50 employees an equal chance of being selected. Assigning each of the 250 employees a unique number and randomly selecting 50 numbers does this. Selecting 10 people from each department in A imposes department quotas, while the email and Monday-morning approaches depend on who chooses to respond or happens to be available.
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