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 (a) List the factors and the number of levels of each factor. (Select all that apply.) class, with five levelsGPA, with four levelsgender, with two levelsincome, with four levelsGPA, with three levelsclass, with four levels (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 0.01. F = P-value = At the 1% level of significance, ---Select--- reject do not reject H0. The data ---Select--- indicate an interaction do not indicate any interaction between factors. (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 ? = 0.01. (Enter NONE in any unused answer blanks.) F = P-value = At the 1% level of significance, ---Select--- do not reject reject NONE H0. (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 ? = 0.01. (Enter NONE in any unused answer blanks.) F = P-value = At the 1% level of significance, ---Select--- do not reject reject NONE
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 (a) List the factors and the number of levels of each factor. (Select all that apply.) class, with five levelsGPA, with four levelsgender, with two levelsincome, with four levelsGPA, with three levelsclass, with four levels (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 0.01. F = P-value = At the 1% level of significance, ---Select--- reject do not reject H0. The data ---Select--- indicate an interaction do not indicate any interaction between factors. (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 ? = 0.01. (Enter NONE in any unused answer blanks.) F = P-value = At the 1% level of significance, ---Select--- do not reject reject NONE H0. (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 ? = 0.01. (Enter NONE in any unused answer blanks.) F = P-value = At the 1% level of significance, ---Select--- do not reject reject NONE
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 |
(a) List the factors and the number of levels of each factor. (Select all that apply.)
(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 0.01.
At the 1% level of significance, ---Select--- reject do not reject H0.
The data ---Select--- indicate an interaction do not indicate any interaction between factors.
(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 ? = 0.01. (Enter NONE in any unused answer blanks.)
At the 1% level of significance, ---Select--- do not reject reject NONE H0.
(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 ? = 0.01. (Enter NONE in any unused answer blanks.)
At the 1% level of significance, ---Select--- do not reject reject NONE
class, with five levelsGPA, with four levelsgender, with two levelsincome, with four levelsGPA, with three levelsclass, with four levels
(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 0.01.
F | = |
P-value | = |
The data ---Select--- indicate an interaction do not indicate any interaction between factors.
(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 ? = 0.01. (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 ? = 0.01. (Enter NONE in any unused answer blanks.)
F | = |
P-value | = |
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