A study was conducted to investigate the relationship between the scores of three mathematics exams, namely algebra,
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A study was conducted to investigate the relationship between the scores of three mathematics exams, namely algebra, geometry, and calculus. The data for 50 students were collected and analyzed using a one-factor analysis. The following is the output of the analysis:
- Total sum of squares = 6000
- Sum of squares due to the factor = 3800
- Sum of squares due to error = 2200
- Degrees of freedom for the factor = 2
- Degrees of freedom for error = 147
- Mean square due to the factor = ?
- Mean square due to error = ?
- F-ratio = ?
- Critical F-value = 2.45
- Conclusion = ?
a) Calculate the mean square due to the factor and the mean square due to error. (4 marks)
b) Calculate the F-ratio. (4 marks)
c) Determine whether the F-ratio is significant at the 5% level of significance. (4 marks)
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