问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: An experiment was designed to test the effects of three different types of paint on the durability of wooden toys. Because boys and girls tend to play differently with toys, a randomly selected group of children was divided into two groups by sex. Which of the following statements about this experiment is true?
A. There are three types of paint and two sex groups, giving a total of six treatment combinations in this experiment.
B. Type of paint is a blocking factor.
C. Sex is a blocking factor.
D. This is a completely randomized design.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

C. Sex is a blocking factor.

In this experiment, the children are divided into two groups by sex, and then each group is exposed to the three different types of paint. This means that sex is a blocking factor, as it is used to divide the experimental units (children) into groups to control for the potential effect of sex on the outcome. The three types of paint are the treatment levels, and there are a total of six treatment combinations (three types of paint x two sex groups). Therefore, option C is the correct answer.
C
deepseekr1

The experiment investigates the effect of three paint types on wooden toy durability, while controlling for sex as a potential source of variability. Here’s the analysis of the options:

- **Option A**: Claims there are six treatment combinations (3 paints × 2 sexes). However, "treatment combinations" typically refer to the levels of the manipulated factors (treatments). Here, paint is the only treatment factor, not sex. Sex is a blocking factor, not part of the treatment structure. Thus, **A is incorrect**.

- **Option B**: States paint is a blocking factor. This is false because paint is the treatment variable being tested, not a factor being controlled. **B is incorrect**.

- **Option C**: Identifies sex as a blocking factor. Correct. The experiment divides children by sex to account for differences in play behavior, reducing variability. Blocking ensures comparisons of paint effects occur within homogeneous groups (male and female). **C is correct**.

- **Option D**: Claims a completely randomized design. False. A completely randomized design does not use blocking. Here, randomization occurs within blocks (sex groups), making it a randomized block design. **D is incorrect**.

**Answer: C**
C
gpto1 C C
GPT-4o C. Sex is a blocking factor. C
llama3.1-70B-Instruct

C
C
llama3.1-405B-Instruct

C. Sex is a blocking factor.

In this experiment, the children are divided into two groups by sex, and then each group is exposed to the three different types of paint. This means that sex is a blocking factor, as it is used to divide the experimental units (children) into groups that are similar in some way (in this case, by sex). The three types of paint are the treatment levels, and the experiment is designed to test the effect of paint type on the durability of the wooden toys.

The other options are not correct:

A. There are only three treatment combinations: one for each type of paint. The sex of the children is a blocking factor, not a treatment level.

B. Type of paint is not a blocking factor; it is the treatment being tested.

D. This is not a completely randomized design, as the children are divided into groups by sex before being exposed to the treatments. A completely randomized design would involve randomly assigning each child to one of the three paint types, without any blocking by sex.
C
DeepSeek-Coder-V2 C. Sex is a blocking factor. C
Qwen2-72B-Instruct C. Sex is a blocking factor. C
baichuan4 C. Sex is a blocking factor. C
doubao C

In this experiment, sex is a factor that is used to divide the subjects into different groups to account for potential differences in how boys and girls play with toys. This is an example of a blocking factor. There are three types of paint which are the treatments, but the division by sex is the blocking factor. It is not a completely randomized design as it is blocked by sex. And there are not six treatment combinations.
C
minimax C. Sex is a blocking factor. C
kimi C. Sex is a blocking factor.

In this experiment, sex is used to divide the children into two groups to control for the potential variability in how boys and girls play with toys. This is a way to block or control for the variability due to sex, ensuring that the effects of the paint types can be more accurately assessed.
C
wenxinyiyan C C
zhipu C. Sex is a blocking factor.

In this experiment, the children are divided into two groups by sex before applying the different types of paint. This division by sex is done to control for the variable of how boys and girls play differently with toys, which could influence the durability results. Therefore, sex acts as a blocking factor to ensure that the variability due to sex is accounted for in the analysis. The other options are incorrect because:

A. While there are indeed six treatment combinations (3 types of paint × 2 sex groups), this statement does not address the nature of the experimental design in terms of blocking or randomization.
B. Type of paint is the primary treatment factor being tested, not a blocking factor.
D. This is not a completely randomized design because the children are first divided by sex (a blocking factor) before the application of the paint treatments.

So, the correct answer is C.
C
gpto1 C C
deepseekv3 C. Sex is a blocking factor.

Explanation:
In this experiment, the children are divided into two groups based on sex (male and female) to control for the potential influence of sex on the outcome (durability of wooden toys). This division makes sex a blocking factor, as it is used to reduce variability within each block (sex group) and ensure that the effects of the paint types are more accurately assessed. Therefore, statement C is correct.

- **A** is incorrect because, while there are three types of paint and two sex groups, the question does not explicitly state that all six combinations are part of the experiment.
- **B** is incorrect because type of paint is the treatment factor, not a blocking factor.
- **D** is incorrect because the experiment is not completely randomized; it uses blocking by sex.
C