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. Class Gender Freshman Sophomore Junior Senior Male 2.8 2.12.7 3.0 2.5 2.32.9 3.5 3.1 2.93.2 3.8 3.8 3.63.5 3.1 Female 2.3 2.93.5 3.9 2.6 2.43.3 3.6 2.6 3.63.3 3.7 3.2 3.53.8 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 (b) Use two-way ANOVA and the Minitab printout to determine if there is any evidence of interaction between the two factors at a level of significance of 0.05. F = P-value = (c) 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 α = 0.05. (Enter NONE in any unused answer blanks.) F = P-value = d) 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 α = 0.05. (Enter NONE in any unused answer blanks.) F = P-value =

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...

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.

	Class
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

(b) Use two-way ANOVA and the Minitab printout to determine if there is any evidence of interaction between the two factors at a level of significance of 0.05.

F	=
P-value	=

(c) 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 α = 0.05. (Enter NONE in any unused answer blanks.)

F	=
P-value	=

d) 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 α = 0.05. (Enter NONE in any unused answer blanks.)

F	=
P-value	=

Jun 05, 2022

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