Question: Does college grade point average (GPA) depend on gender? Does it depend on class (freshman, sophomore, junior, senior)? In a study, the following GPA data
Does college grade point average (GPA) depend on gender? Does it depend on class (freshman, sophomore, junior, senior)? In a study, the following GPA data were obtained for random samples of college students in each of the cells.
| Gender | Freshman | Sophomore | Junior | Senior |
| Male | 2.8 2.1 2.7 3.0 | 2.5 2.3 2.9 3.5 | 3.1 2.9 3.2 3.8 | 3.8 3.6 3.5 3.1 |
| Female | 2.3 2.9 3.5 3.9 | 2.6 2.4 3.3 3.6 | 2.6 3.6 3.3 3.7 | 3.2 3.5 3.8 3.6 |
| Minitab Printout of GPA Based on Gender and Class | |||||
| Analysis of Variance for GPA | |||||
| Source | DF | SS | MS | F | P |
| Gender | 1 | 0.281 | 0.281 | 1.26 | 0.273 |
| Class | 3 | 2.226 | 0.742 | 3.32 | 0.037 |
| Interaction | 3 | 0.286 | 0.095 | 0.43 | 0.736 |
| Error | 24 | 5.365 | 0.224 | ||
| Total | 31 | 8.159 |
If there is no evidence of interaction, use two-way ANOVA and the Minitab printout to determine if there is a difference in mean GPA based on class. Use = 0.1. (Enter NONE in any unused answer blanks.)
a) Find the F and the P-value
b) At the 10% level of significance (do not reject OR reject) Ho
If there is no evidence of interaction, use two-way ANOVA and the Minitab printout to determine if there is a difference in mean GPA based on gender. Use = 0.1. (Enter NONE in any unused answer blanks.)
c) Find the F and P value
d) At the 10% level of significance (reject OR do not reject) Ho
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