问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: A manufacturer of motor oil is interested in testing the effects of a newly developed additive on the lifespan of an engine. Twenty-five different engine types are selected at random and each one is tested using oil with the additive and oil without the additive. What type of analysis will yield the most useful information?
A. Matched pairs comparison of population proportions
B. Matched pairs comparison of population means
C. Independent samples comparison of population proportions
D. Independent samples comparison of population means
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B. Matched pairs comparison of population means.

This is because the same engine types are being tested with and without the additive, making it a matched pairs design. Additionally, the outcome of interest is the lifespan of the engine, which is a continuous variable, making it appropriate to compare population means.
B
deepseekr1

The manufacturer tests each of the 25 engines under two conditions (with and without the additive), making the data paired. Since the same engines are used for both treatments, this is a **matched pairs** design, which controls for variability between engines. The outcome measured is engine lifespan, a **continuous variable** (e.g., hours or miles), so the analysis should focus on **means** rather than proportions.

**Answer:** B. Matched pairs comparison of population means
B
gpto1 B B
GPT-4o B. Matched pairs comparison of population means B
llama3.1-70B-Instruct

B
B
llama3.1-405B-Instruct

B. Matched pairs comparison of population means.

This is because the same engine types are being tested with and without the additive, making it a matched pairs design. Additionally, the outcome of interest is the lifespan of the engine, which is a continuous variable, making it appropriate to compare means rather than proportions.
B
DeepSeek-Coder-V2 B. Matched pairs comparison of population means B
Qwen2-72B-Instruct B. Matched pairs comparison of population means B
baichuan4 B. Matched pairs comparison of population means B
doubao D

In this case, there are two independent groups (engines using oil with the additive and engines using oil without the additive) and the interest is in comparing the means of the lifespans of the engines in these two groups, so an independent samples comparison of population means is the most appropriate analysis.
B
minimax B. Matched pairs comparison of population means B
kimi B. Matched pairs comparison of population means B
wenxinyiyan B

Explanation:
In this experiment, each engine type is tested under two conditions: with the additive and without the additive. This creates a matched pairs design, where each engine type serves as its own control. The goal is to compare the lifespan of engines under these two conditions.

Since lifespan is likely to be a continuous variable (measured in miles, hours, etc.), we are interested in comparing population means, not proportions. Therefore, a matched pairs comparison of population means (option B) will yield the most useful information for assessing the effects of the additive on engine lifespan.
B
zhipu B. Matched pairs comparison of population means

This is because the same engines are tested with both types of oil (with and without the additive), making it a paired (matched) design. The goal is to compare the means of the lifespan of the engines under the two different conditions. Therefore, a matched pairs comparison of population means is the appropriate type of analysis.
B
gpto1 B B
deepseekv3 B. Matched pairs comparison of population means

Explanation: The scenario involves testing the same engines with and without the additive, which creates a paired or matched design. Since the focus is on the lifespan of the engine (a continuous variable), the analysis should compare the means of the two conditions (with and without the additive). Therefore, a matched pairs comparison of population means is the most appropriate analysis.
B