An educator wants to determine whether a new curriculum significantly improves standardized test scores for students. She randomly divides 60 students into two groups Group 1 is taught using the new cuniculum, whill group 2 is taught using the traditional curriculum. At the end of the school year, both groups are given the standardized test and the mean scores are compared Determine whether the sampling is dependent or independ Indicate whether the response variable is qualitative or quantitative Determine whether the sampling is dependent or independent OA. The sampling is independent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample OB. The sampling is dependent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample OC. This sampling is independent because the individuals selected for one sample do not dictate which individuals are to be in a second sample OD. The sampling is dependent because the individuals selected for one sample do not dictate which individuals are to be in a second sample

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**Educational Context: Sampling in Educational Research**

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**Scenario:**

An educator wants to assess if a new curriculum significantly enhances standardized test scores for students. She randomly divides 60 students into two groups: Group 1 uses the new curriculum, and Group 2 uses the traditional curriculum. At the end of the school year, both groups take the standardized test, and their mean scores are compared. The task is to determine whether the sampling is dependent or independent and whether the response variable is qualitative or quantitative.

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**Question: Determine whether the sampling is dependent or independent.**

**Options:**

- **A.** The sampling is independent because the individuals selected for one sample do not dictate which individuals are to be in a second sample.

- **B.** The sampling is dependent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample.

- **C.** The sampling is independent because the individuals selected for one sample do not dictate which individuals are to be in a second sample.

- **D.** The sampling is dependent because the individuals selected for one sample do not dictate which individuals are to be in a second sample.

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**Explanation:**

In independent sampling, the selection of individuals for one group does not affect or determine the selection of individuals for the other group. In dependent sampling, the selection of individuals for one group is related to or affects the selection of individuals for the other group. 

In this scenario, each group is chosen separately, and the students are randomly divided, which typically indicates independent sampling. The response variable, in this case, is quantitative as it involves comparing mean test scores.
Transcribed Image Text:**Educational Context: Sampling in Educational Research** --- **Scenario:** An educator wants to assess if a new curriculum significantly enhances standardized test scores for students. She randomly divides 60 students into two groups: Group 1 uses the new curriculum, and Group 2 uses the traditional curriculum. At the end of the school year, both groups take the standardized test, and their mean scores are compared. The task is to determine whether the sampling is dependent or independent and whether the response variable is qualitative or quantitative. --- **Question: Determine whether the sampling is dependent or independent.** **Options:** - **A.** The sampling is independent because the individuals selected for one sample do not dictate which individuals are to be in a second sample. - **B.** The sampling is dependent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample. - **C.** The sampling is independent because the individuals selected for one sample do not dictate which individuals are to be in a second sample. - **D.** The sampling is dependent because the individuals selected for one sample do not dictate which individuals are to be in a second sample. --- **Explanation:** In independent sampling, the selection of individuals for one group does not affect or determine the selection of individuals for the other group. In dependent sampling, the selection of individuals for one group is related to or affects the selection of individuals for the other group. In this scenario, each group is chosen separately, and the students are randomly divided, which typically indicates independent sampling. The response variable, in this case, is quantitative as it involves comparing mean test scores.
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Follow-up Question
### Analysis of Curriculum Impact on Standardized Test Scores

An educator is investigating whether a new curriculum significantly improves standardized test scores for students. She divides 60 students randomly into two groups: Group 1 is taught using the **new curriculum**, while Group 2 uses the **traditional curriculum**. At the end of the school year, both groups take the standardized test, and their mean scores are compared.

The task is to determine whether the sampling is dependent or independent and to classify the response variable as qualitative or quantitative.

#### Determining Dependency of Sampling

- **Option A**: The sampling is independent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample.
  
- **Option B**: The sampling is dependent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample.

- **Option C** (Correct Answer): The sampling is independent because the individuals selected for one sample do not dictate which individuals are to be in a second sample.

- **Option D**: The sampling is dependent because the individuals selected for one sample do not dictate which individuals are to be in a second sample.

#### Classifying the Response Variable

- **Option A**: The variable is quantitative because it classifies the individual.

- **Option B** (Correct Answer): The variable is quantitative because it is a numerical measure.

- **Option C**: The variable is qualitative because it classifies the individual. 

- **Option D**: The variable is qualitative because it is a numerical measure.

In summary, the sampling method here is independent because the selection of individuals in one group does not influence the selection in the other group. Additionally, the response variable, which is the test score, is quantitative since it provides a numerical measure.
Transcribed Image Text:### Analysis of Curriculum Impact on Standardized Test Scores An educator is investigating whether a new curriculum significantly improves standardized test scores for students. She divides 60 students randomly into two groups: Group 1 is taught using the **new curriculum**, while Group 2 uses the **traditional curriculum**. At the end of the school year, both groups take the standardized test, and their mean scores are compared. The task is to determine whether the sampling is dependent or independent and to classify the response variable as qualitative or quantitative. #### Determining Dependency of Sampling - **Option A**: The sampling is independent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample. - **Option B**: The sampling is dependent because the individuals selected to be in one sample are used to determine the individuals to be in the second sample. - **Option C** (Correct Answer): The sampling is independent because the individuals selected for one sample do not dictate which individuals are to be in a second sample. - **Option D**: The sampling is dependent because the individuals selected for one sample do not dictate which individuals are to be in a second sample. #### Classifying the Response Variable - **Option A**: The variable is quantitative because it classifies the individual. - **Option B** (Correct Answer): The variable is quantitative because it is a numerical measure. - **Option C**: The variable is qualitative because it classifies the individual. - **Option D**: The variable is qualitative because it is a numerical measure. In summary, the sampling method here is independent because the selection of individuals in one group does not influence the selection in the other group. Additionally, the response variable, which is the test score, is quantitative since it provides a numerical measure.
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