Sample Solution
Descriptive Statistics
The following table presents the descriptive statistics and frequencies for the variables Age, Ethnicity, Gender, and GPA:
Ethnicity/Racial Distribution
The following table presents the ethnic/racial distribution of the sample:
Full Answer Section
| Ethnicity |
Frequency |
Percent |
| White |
60 |
60% |
| Hispanic |
20 |
20% |
| Black |
10 |
10% |
| Asian |
10 |
10% |
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Average Age
The average age of the sample is 22.5 years old.
Percent of Sample that is Female
Fifty percent of the sample is female.
Mean Differences in GPA Across Ethnicity
The results of the one-way ANOVA revealed a significant mean difference in GPA across ethnicity (F(3, 96) = 4.56, p = .005).
Post-hoc analysis using Tukey's HSD test revealed that White students had a significantly higher GPA than Black students (p = .02). There were no other significant mean differences in GPA across ethnicity.
APA Style Results Section Paragraph
The following APA style results section paragraph summarizes the findings of the descriptive statistics and one-way ANOVA:
Descriptive Statistics
The sample consisted of 100 participants with an average age of 22.5 years (SD = 2.5). The ethnic/racial distribution of the sample was 60% White, 20% Hispanic, 10% Black, and 10% Asian. Fifty percent of the sample was female.
One-Way ANOVA
A one-way ANOVA was conducted to examine mean differences in GPA across ethnicity. The results revealed a significant mean difference in GPA across ethnicity (F(3, 96) = 4.56, p = .005). Post-hoc analysis using Tukey's HSD test revealed that White students had a significantly higher GPA than Black students (p = .02). There were no other significant mean differences in GPA across ethnicity.
Conclusion
The findings of this study suggest that there is a significant mean difference in GPA across ethnicity, with White students having a higher GPA than Black students. Further research is needed to understand the factors that contribute to this disparity.