for each scenario, determine the population, sample, and if the question or sample is biased. at a…
for each scenario, determine the population, sample, and if the question or sample is biased. at a basketball game, you ask 50 random students what their favorite music genre is to determine the favorite music genre of all students. population, sample, what is biased?, how can it be fixed? after school, someone who sells lottery tickets asks 100 people who each just bought a ticket how passionate are you about the lottery? population, sample, what is biased?, how can it be fixed?
Answer
Scenario 1 (Green - At a basketball game, you ask random students what their favorite music genre is to determine the school's favorite music genre)
Explanation:
Step1: Define population
The population is all students in the school.
Step2: Define sample
The sample is the random students at the basketball game.
Step3: Identify bias
The sample is biased because students at a basketball game may have different music - preferences than the entire student body. For example, they might be more into energetic or sports - related music.
Step4: Suggest fix
To fix it, randomly select students from different areas of the school (e.g., classrooms, cafeteria, library) at different times of the day.
Answer:
Population: All students in the school Sample: Random students at the basketball game What is biased: The sample How can it be fixed: Randomly select students from different areas of the school at different times of the day
Scenario 2 (Purple - A store manager asks every 10th person who enters the store on a Monday morning "How pleasant was your visit?" to determine overall customer satisfaction)
Explanation:
Step1: Define population
The population is all customers of the store.
Step2: Define sample
The sample is every 10th person who enters the store on a Monday morning.
Step3: Identify bias
The sample is biased because Monday - morning customers may have different experiences and satisfaction levels than customers who visit at other times (e.g., they might be in a hurry for work, or the store might be less busy and more pleasant on a Monday morning). Also, only sampling on one day is not representative of all days.
Step4: Suggest fix
Sample customers at different times of the day, on different days of the week, and during different seasons to get a more representative sample.
Answer:
Population: All customers of the store Sample: Every 10th person who enters the store on a Monday morning What is biased: The sample How can it be fixed: Sample customers at different times of the day, on different days of the week, and during different seasons