the ceo of a company wants to determine whether taking the employees to a company retreat would boost their…
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?\nasking the first 50 employees who come to work on monday morning to take the survey\ntelling the managers in each of the 5 departments to randomly select 10 people to take the survey\ngiving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey\nsending an email to all 250 employees asking them to complete the survey within the next couple of days
Answer
Brief Explanations:
In a simple - random sample, every member of the population has an equal chance of being selected.
- Asking the first 50 employees who come to work on Monday morning is a convenience sample, not a simple - random sample as those who come early may have different characteristics.
- Telling managers in each of 5 departments to randomly select 10 people is a stratified sample (by department), not a simple - random sample.
- Giving each employee a unique number from 1 to 250 and randomly selecting 50 people ensures that every employee has an equal probability of being chosen, which is the definition of a simple - random sample.
- Sending an email to all 250 employees asking them to complete the survey is a voluntary response sample, not a simple - random sample as those who respond may be different from those who don't.
Answer:
giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey