Question
The owner of a company considers different methods for collecting data on whether her employees desire to work remotely. Sort each method into "would" or "would not" produce a random sample.
She asks every third employee in the marketing department. She selects every 6th person from the staff directory to survey.
She assigns a number to each employee in the staff database and selects 50 numbers at random.
She emails a survey to every department manager.
Answers
GPT-4o mini
Let's categorize the methods based on whether they would produce a random sample or not:
**Would produce a random sample:**
- She assigns a number to each employee in the staff database and selects 50 numbers at random.
**Would not produce a random sample:**
- She asks every third employee in the marketing department.
- She selects every 6th person from the staff directory to survey.
- She emails a survey to every department manager.
In summary:
- Random sample: Assigning numbers and selecting randomly
- Not random sample: Asking every third employee in marketing, selecting every 6th person, and emailing department managers.
**Would produce a random sample:**
- She assigns a number to each employee in the staff database and selects 50 numbers at random.
**Would not produce a random sample:**
- She asks every third employee in the marketing department.
- She selects every 6th person from the staff directory to survey.
- She emails a survey to every department manager.
In summary:
- Random sample: Assigning numbers and selecting randomly
- Not random sample: Asking every third employee in marketing, selecting every 6th person, and emailing department managers.