问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: A pharmaceutical company wants to test a new cholesterol-reducing drug against the previous drug. It does not anticipate much association between cholesterol level and gender, but it does anticipate an association between cholesterol level and the amount of exercise a person gets. For a randomized block design, it should:
A. Block on gender because it is not associated with cholesterol level.
B. Block on gender because males and females are different.
C. Block on the type of drug because it may be associated with cholesterol level.
D. Block on exercise level because it is associated with cholesterol level.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D.		 D
deepseekr1

The pharmaceutical company aims to reduce variability in cholesterol levels when testing the new drug. A randomized block design should block on variables **associated** with the response (cholesterol). Since exercise level is anticipated to affect cholesterol, blocking on it controls for this variability, improving the accuracy of drug comparisons. Gender, though differing between groups, is not linked to cholesterol, so blocking on it (A/B) is unnecessary. Blocking on the drug type (C) is invalid as it is the treatment variable.

**Answer:** D. Block on exercise level because it is associated with cholesterol level.		 D
gpto1 D. D
GPT-4o D. Block on exercise level because it is associated with cholesterol level. D
llama3.1-70B-Instruct

D		 D
llama3.1-405B-Instruct

D. Block on exercise level because it is associated with cholesterol level.		 D
DeepSeek-Coder-V2 D. Block on exercise level because it is associated with cholesterol level. D
Qwen2-72B-Instruct D. Block on exercise level because it is associated with cholesterol level. D
baichuan4 D D
doubao D D
minimax D. Block on exercise level because it is associated with cholesterol level. D
kimi D. Block on exercise level because it is associated with cholesterol level. D
wenxinyiyan D D
zhipu D. Block on exercise level because it is associated with cholesterol level.

In a randomized block design, you want to block on variables that are known or expected to influence the outcome variable. Since the company anticipates an association between cholesterol level and the amount of exercise a person gets, it makes sense to block on exercise level to control for this variable and reduce variability within blocks. This helps in making the comparison between the new and previous drugs more accurate. Blocking on gender or the type of drug wouldn't be as effective in this context based on the provided information.		 D
gpto1 D. D
deepseekv3 The correct answer is:

**D. Block on exercise level because it is associated with cholesterol level.**

Explanation: In a randomized block design, blocking is used to control for variables that are associated with the response variable (in this case, cholesterol level). Since exercise level is anticipated to be associated with cholesterol level, it should be used as the blocking variable to reduce variability and improve the accuracy of the experiment. Gender, on the other hand, is not anticipated to be associated with cholesterol level, so blocking on it would not be necessary.		 D