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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