问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: A study is made to determine whether more hours of academic studying leads to higher point scoring by basketball players. In surveying 50 basketball players, it is noted that the 25 who claim to study the most hours have a higher point average than the 25 who study less. Based on this study, the coach begins requiring the players to spend more time studying. Which of the following is a correct statement?
A. While this study may have its faults, it still does prove causation.
B. There could well be a confounding variable responsible for the seeming relationship.
C. While this is a controlled experiment, the conclusion of the coach is not justified.
D. To get the athletes to study more, it would be more meaningful to have them put in more practice time on the court to boost their point averages, as higher point averages seem to be associated with more study time.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B. There could well be a confounding variable responsible for the seeming relationship.

This study suggests a correlation between hours of academic studying and higher point scoring by basketball players, but it does not necessarily prove causation. There could be other factors (confounding variables) that are responsible for the observed relationship, such as players who study more also being more disciplined, having better time management skills, or having more support from their families, which could also contribute to their higher point averages. Therefore, the coach's conclusion that requiring players to study more will lead to higher point averages may not be justified.
B
deepseekr1

The study observes a correlation between academic study hours and basketball point averages but does not establish causation. Observational studies like this one are prone to confounding variables—factors not accounted for that might influence both study habits and performance (e.g., time management skills, practice intensity).

- **A** is incorrect because observational studies cannot "prove" causation.
- **C** is wrong since the study is observational, not a controlled experiment (no random assignment).
- **D** confuses the observed association with a recommendation for practice time, which is unrelated to the study’s focus.
- **B** correctly highlights the possibility of confounding variables, a critical limitation here.

**Answer: B**
B
gpto1 B B
GPT-4o B. There could well be a confounding variable responsible for the seeming relationship. B
llama3.1-70B-Instruct

B
B
llama3.1-405B-Instruct

B. There could well be a confounding variable responsible for the seeming relationship.

This study suggests a correlation between hours of academic studying and higher point scoring by basketball players, but it does not necessarily prove causation. There could be other factors (confounding variables) that are responsible for the observed relationship, such as players who study more also tend to practice more, have better time management skills, or have other characteristics that contribute to their higher point averages. Therefore, the coach's conclusion that requiring players to study more will lead to higher point averages may not be justified.
B
DeepSeek-Coder-V2 B. There could well be a confounding variable responsible for the seeming relationship. B
Qwen2-72B-Instruct B. There could well be a confounding variable responsible for the seeming relationship. B
baichuan4 B. There could well be a confounding variable responsible for the seeming relationship. B
doubao B

Just because there is a correlation between more study hours and higher point averages doesn't mean there is causation. There could be other factors (confounding variables) that are influencing both the study time and the point averages, and the coach's conclusion to require more study time based solely on this study may not be justified. A is incorrect as it doesn't prove causation. C is incorrect as this is not a controlled experiment. D is not a correct statement as it assumes a false causation.
B
minimax B. There could well be a confounding variable responsible for the seeming relationship. B
kimi B. There could well be a confounding variable responsible for the seeming relationship.

This is the correct answer because the study described is an observational study, not a controlled experiment. Observational studies cannot prove causation because they are subject to confounding variables that could be influencing the results. The coach's conclusion that more study time leads to higher point scoring is based on the observed correlation, but without controlling for other factors, it's not possible to say that studying more causes higher point averages.
B
wenxinyiyan B B
zhipu B. There could well be a confounding variable responsible for the seeming relationship.

Explanation: The study described is observational and does not establish a causal relationship between study hours and point scoring. There could be other factors (confounding variables) influencing both study habits and basketball performance, such as the players' overall dedication, intelligence, or personal discipline. Therefore, the coach's conclusion that more study time will directly lead to higher point averages is not justified based on this study alone. The other options are incorrect because:

A. The study does not prove causation due to its observational nature.
C. This is not a controlled experiment; it's an observational study.
D. This option suggests a different intervention without addressing the issue of causation or confounding variables.
B
gpto1 B B
deepseekv3 B. There could well be a confounding variable responsible for the seeming relationship.

This is the correct answer because the study only observes a correlation between hours of academic studying and higher point averages, but it does not establish causation. A confounding variable (e.g., natural talent, work ethic, or other factors) could be influencing both the study habits and the point averages, making it incorrect to conclude that increased studying directly causes higher scoring.
B