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

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

Answer

Answer:

giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey

Explanation:

Step1: Define simple - random sample

A simple random sample is one where every member of the population has an equal chance of being selected.

Step2: Analyze option 1

Asking the first 50 employees on Monday morning is a convenience sample, not random as those who arrive early are over - represented.

Step3: Analyze option 2

Telling managers in each department to select 10 people may introduce bias as managers' selections may not be completely random.

Step4: Analyze option 3

Giving each of the 250 employees a number and randomly selecting 50 ensures every employee has an equal chance of being selected, which is a simple random sample.

Step5: Analyze option 4

Sending an email to all 250 employees and asking them to complete the survey is a voluntary response sample, and those with stronger opinions are more likely to respond, introducing bias.