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Analyzing Academic Performance by Test Preparation Course Status

Research Questions: Is there a significant difference in academic performance between students who completed a test preparation course and those who did not?

Summary of Academic Performance by Test Preparation Course Status

  • Students who completed the test preparation course:
    • Mean Math Score: 69.70
    • Mean Reading Score: 73.89
    • Mean Writing Score: 74.42
  • Students who did not complete the test preparation course:
    • Mean Math Score: 64.08
    • Mean Reading Score: 66.53
    • Mean Writing Score: 64.50
Observation: Students who completed the test preparation course have higher mean scores in math, reading, and writing compared to those who did not complete the course.

Null Hypotheses: There is no significant difference in academic performance between students who completed a test preparation course and those who did not.

T-Test Results for Academic Performance by Test Preparation Course Status

  • Math Scores:
    • P-value: 1.54×1081.54 \times 10^{-8}
  • Reading Scores:
    • P-value: 9.08×10159.08 \times 10^{-15}
  • Writing Scores:
    • P-value: 3.69×10243.69 \times 10^{-24}
Conclusion: The p-values for math, reading, and writing scores are significantly lower than the common alpha level of 0.05, suggesting that we reject the null hypothesis. There is a statistically significant difference in academic performance between students who completed a test preparation course and those who did not.

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