In: Statistics and Probability
Below are the grade point averages for 24 randomly chosen university business students during a recent semester.
a) Is there sufficient evidence to indicate that the variances for the four classifications of students are not the same? Assume alpha is 0.05.
b) What is the p-value for this problem? Explain its meaning in words.
c) Is there sufficient evidence to indicate that the means for the four classifications of students are not the same? Use alpha = 0.05.
d) If there is a significant difference in the means for the four classifications of students, what test would you use to determine which one’s are higher or lower?
GRADE POINT AVERAGE | OF 24 | BUSINESS | STUDENTS |
FRESHMAN | SOPHOMORE | JUNIOR | SENIOR |
1.19 | 3.89 | 3.01 | 3.32 |
2.14 | 2.02 | 2.89 | 2.45 |
3.47 | 2.96 | 3.45 | 3.81 |
2.19 | 3.32 | 3.67 | 3.02 |
2.71 | 2.29 | 3.33 | 3.01 |
3.11 | 2.82 | 2.98 | 3.17 |