问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: A reading specialist in a large public school system believes that the more time students spend reading, the better they will do in school. She plans a middle school experiment in which an SRS of 30 eighth graders will be assigned four extra hours of reading per week, an SRS of 30 seventh graders will be assigned two extra hours of reading per week, and an SRS of 30 sixth graders with no extra assigned reading will be a control group. After one school year, the mean GPAs from each group will be compared. Is this a good experimental design?
A. Yes.
B. No, because while this design may point out an association between reading and GPA, it cannot establish a cause-and-effect relationship.
C. No, because without blinding, there is a strong chance of a placebo effect.
D. No, because grade level is a lurking variable which may well be confounded with the variables under consideration.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D.
D
deepseekr1

The experimental design confounds grade level with the treatment (extra reading hours), making it impossible to isolate the effect of reading time from inherent differences between sixth, seventh, and eighth graders. Since each treatment group is assigned to a different grade, grade-level factors (e.g., academic rigor, maturity) could influence GPA independently of the intervention. This introduces **grade level as a lurking variable**, invalidating causal conclusions. While other options touch on valid concerns (e.g., association vs. causation in B), the primary flaw is the confounding of variables.

**Answer: D**
D
gpto1 D D
GPT-4o D. No, because grade level is a lurking variable which may well be confounded with the variables under consideration. D
llama3.1-70B-Instruct

D
D
llama3.1-405B-Instruct

D. While it is possible that extra reading improves GPAs, it is also possible that the older the students, the higher their GPAs. The design does not allow for the separation of the two variables.
D
DeepSeek-Coder-V2 D D
Qwen2-72B-Instruct D. No, because grade level is a lurking variable which may well be confounded with the variables under consideration. D
baichuan4 D D
doubao D

In this design, the grade level is likely to be a confounding variable as it is systematically different among the groups and may independently affect GPA, making it difficult to isolate the true effect of the different amounts of reading time on GPA.
D
minimax B. No, because while this design may point out an association between reading and GPA, it cannot establish a cause-and-effect relationship. D
kimi D. No, because grade level is a lurking variable which may well be confounded with the variables under consideration.

The reason for choosing D is that the experiment involves different grades (sixth, seventh, and eighth graders), and grade level could influence the results in ways that are not accounted for by the amount of extra reading time. For example, students in higher grades might naturally have higher GPAs or might be more motivated to do well in school, regardless of the extra reading time. This could confound the results, making it difficult to determine if any observed differences in GPA are due to the extra reading time or simply because of the different grade levels.
D
wenxinyiyan D D
zhipu D. No, because grade level is a lurking variable which may well be confounded with the variables under consideration.

In this experimental design, the different grades (sixth, seventh, and eighth graders) are assigned different amounts of extra reading time. This introduces grade level as a potential confounding variable, which could affect the GPA independently of the amount of reading time. Therefore, any observed differences in GPA could be due to the grade level rather than the amount of reading time, making it difficult to draw a clear cause-and-effect relationship between reading time and GPA.
D
gpto1 D D
deepseekv3 D. No, because grade level is a lurking variable which may well be confounded with the variables under consideration.

Explanation: The experimental design assigns different grade levels to different treatment groups (extra reading hours). Since grade level could independently affect GPA (e.g., sixth graders might naturally have different GPAs than eighth graders), it becomes a confounding variable. This makes it difficult to isolate the effect of extra reading time on GPA. A better design would use students from the same grade level and randomly assign them to the different reading time treatments.
D