A community college institutional researcher wants to analyze a data set with age (in years) predicting years spent in school. What inferential statistical procedure is appropriate for this study? Chi-square test for independence (2-way contingency table) O Regression O One-sample z-test for mu (because sigma is known) One-sample t-test OChi-square goodness-of-fit test OTwo-group t-test OZ-test for two proportions O One-way ANOVA O Correlation OZ-test for one proportion Matched-pairs t-test

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### Selecting the Appropriate Statistical Procedure for Analyzing Data Sets

A community college institutional researcher wants to analyze a data set with age (in years) predicting years spent in school.

**Question:** 
What inferential statistical procedure is appropriate for this study?

**Options:**
1. Chi-square test for independence (2-way contingency table)
2. Regression
3. One-sample z-test for mu (because sigma is known)
4. One-sample t-test
5. Chi-square goodness-of-fit test
6. Two-group t-test
7. Z-test for two proportions
8. One-way ANOVA
9. Correlation
10. Z-test for one proportion
11. Matched-pairs t-test

**Selected Option:** 
- One-way ANOVA (Indicated by a blue dot next to it)

**Explanation of Options:**

- **Chi-square test for independence:** Used to determine if there is a significant association between two categorical variables.
- **Regression:** Typically used to predict the value of a dependent variable based on the value of at least one independent variable.
- **One-sample z-test for mu:** Used when comparing a sample mean to a known population mean with a known sigma (standard deviation).
- **One-sample t-test:** Used when comparing a sample mean to a known population mean without a known sigma.
- **Chi-square goodness-of-fit test:** Determines if a sample matches a population.
- **Two-group t-test:** Compares the means of two independent groups.
- **Z-test for two proportions:** Used to compare two population proportions.
- **One-way ANOVA:** Used to compare means among three or more groups.
- **Correlation:** Measures the relationship between two continuous variables.
- **Z-test for one proportion:** Compares a sample proportion to a known population proportion.
- **Matched-pairs t-test:** Used when comparing means from the same group at different times.

By selecting appropriate statistical analysis methods, researchers can ensure they are drawing valid conclusions from their data. Understanding the context and nature of the variables involved is crucial in choosing the right methodology.
Transcribed Image Text:### Selecting the Appropriate Statistical Procedure for Analyzing Data Sets A community college institutional researcher wants to analyze a data set with age (in years) predicting years spent in school. **Question:** What inferential statistical procedure is appropriate for this study? **Options:** 1. Chi-square test for independence (2-way contingency table) 2. Regression 3. One-sample z-test for mu (because sigma is known) 4. One-sample t-test 5. Chi-square goodness-of-fit test 6. Two-group t-test 7. Z-test for two proportions 8. One-way ANOVA 9. Correlation 10. Z-test for one proportion 11. Matched-pairs t-test **Selected Option:** - One-way ANOVA (Indicated by a blue dot next to it) **Explanation of Options:** - **Chi-square test for independence:** Used to determine if there is a significant association between two categorical variables. - **Regression:** Typically used to predict the value of a dependent variable based on the value of at least one independent variable. - **One-sample z-test for mu:** Used when comparing a sample mean to a known population mean with a known sigma (standard deviation). - **One-sample t-test:** Used when comparing a sample mean to a known population mean without a known sigma. - **Chi-square goodness-of-fit test:** Determines if a sample matches a population. - **Two-group t-test:** Compares the means of two independent groups. - **Z-test for two proportions:** Used to compare two population proportions. - **One-way ANOVA:** Used to compare means among three or more groups. - **Correlation:** Measures the relationship between two continuous variables. - **Z-test for one proportion:** Compares a sample proportion to a known population proportion. - **Matched-pairs t-test:** Used when comparing means from the same group at different times. By selecting appropriate statistical analysis methods, researchers can ensure they are drawing valid conclusions from their data. Understanding the context and nature of the variables involved is crucial in choosing the right methodology.
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