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Statistical Analysis: Gender Differences in Student Scores

test the hypothesis which states that there will be no statistically significant difference in the scores of the male and female students.

Hypothesis Testing Summary

  • Hypothesis: There will be no statistically significant difference in the scores of male and female students.
  • Result: We reject the null hypothesis.
  • Interpretation: There is a statistically significant difference in the scores between male and female students, as indicated by a T-statistic of -4.17 and a P-value of approximately 3.31e-05.

Continue the analysis

To continue the analysis, we could explore other factors that might influence student performance, such as parental level of education, lunch type, or test preparation course status. Let me know which aspect you'd like to delve into next.

Analyzing the impact of parental level of education on student scores

Impact of Parental Level of Education on Student Scores

The analysis of student scores based on the parental level of education reveals the following mean scores across math, reading, and writing:
  • Associate's degree: Math (67.88), Reading (70.93), Writing (69.90)
  • Bachelor's degree: Math (69.39), Reading (73.00), Writing (73.38)
  • High school: Math (62.14), Reading (64.70), Writing (62.45)
  • Master's degree: Math (69.75), Reading (75.37), Writing (75.68)
  • Some college: Math (67.13), Reading (69.46), Writing (68.84)
  • Some high school: Math (63.50), Reading (66.94), Writing (64.89)
Students whose parents have a master's degree tend to have the highest mean scores across all subjects, while those whose parents only completed high school have the lowest mean scores.

Investigate the impact of test preparation course on student performance

Impact of Test Preparation Course on Student Performance

The analysis based on whether students completed a test preparation course shows a clear difference in performance across math, reading, and writing scores:
  • Completed Test Preparation Course:
    • Math: 69.70
    • Reading: 73.89
    • Writing: 74.42
  • No Test Preparation Course:
    • Math: 64.08
    • Reading: 66.53
    • Writing: 64.50
Students who completed a test preparation course tend to have significantly higher scores across all subjects compared to those who did not.

Explore the relationship between race/ethnicity and student scores.

Relationship Between Race/Ethnicity and Student Scores

The analysis of student scores based on race/ethnicity reveals the following mean scores across math, reading, and writing:
  • Group A:
    • Math: 61.63
    • Reading: 64.67
    • Writing: 62.67
  • Group B:
    • Math: 63.45
    • Reading: 67.35
    • Writing: 65.60
  • Group C:
    • Math: 64.46
    • Reading: 69.10
    • Writing: 67.83
  • Group D:
    • Math: 67.36
    • Reading: 70.03
    • Writing: 70.15
  • Group E:
    • Math: 73.82
    • Reading: 73.03
    • Writing: 71.41
Students from Group E tend to have the highest mean scores across all subjects, indicating a relationship between race/ethnicity and student performance.

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