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. 1nteraction Class Gender Freshman Sophomore Junior Senior 2.8 2.1 2.7 3.0 2.3 2.9 2.5 2.3 2.9 3.5 3.1 2.9 3.8 3.8 3.6 Male 3.2 3.5 3.1 2.6 2.4 3.3 3.6 2.6 3.3 3.6 3.7 3.2 3.5 3.6 Female 3.5 3.9 3.8 Minitab Printout of GPA Based on Gender and Class Analysis of Variance for GPA Source DF MS Gender 1 0.281 0.281 1.26 0.273 Class 3 2.226 0.742 3.32 0.037 Interaction 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.) O class, with five levels O income, with four levels O gender, with two levels O class, with four levels O GPA, with three levels O GPA, 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 0.1. F- P-value = At the 10% level of significance, --Select-- v Ho- The data -Select- v 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 a = 0.1. (Enter NONE in any unused answer blanks.) F= P-value= At the 10% level of significance, -Select- v Ho- | Hg. (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 a = 0.1. (Enter NONE in any unused answer blanks.) F= P-value = At the 10% level of significance, --Select- v Hg-
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. 1nteraction Class Gender Freshman Sophomore Junior Senior 2.8 2.1 2.7 3.0 2.3 2.9 2.5 2.3 2.9 3.5 3.1 2.9 3.8 3.8 3.6 Male 3.2 3.5 3.1 2.6 2.4 3.3 3.6 2.6 3.3 3.6 3.7 3.2 3.5 3.6 Female 3.5 3.9 3.8 Minitab Printout of GPA Based on Gender and Class Analysis of Variance for GPA Source DF MS Gender 1 0.281 0.281 1.26 0.273 Class 3 2.226 0.742 3.32 0.037 Interaction 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.) O class, with five levels O income, with four levels O gender, with two levels O class, with four levels O GPA, with three levels O GPA, 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 0.1. F- P-value = At the 10% level of significance, --Select-- v Ho- The data -Select- v 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 a = 0.1. (Enter NONE in any unused answer blanks.) F= P-value= At the 10% level of significance, -Select- v Ho- | Hg. (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 a = 0.1. (Enter NONE in any unused answer blanks.) F= P-value = At the 10% level of significance, --Select- v Hg-
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Does College Grade Point Average (GPA) Depend on Gender or Class?
In a study, the following GPA data were obtained for random samples of college students across different classes.
#### GPA Table by Gender and Class
| Gender | Freshman | Sophomore | Junior | Senior |
|--------|----------|-----------|--------|--------|
| Male | 2.8 | 2.1 | 2.5 | 3.3 | 3.1 |
| | 2.9 | 2.9 | 3.8 | 3.9 | 3.8 |
| Female | 2.7 | 2.0 | 2.9 | 3.5 | 3.8 |
| | 3.2 | 3.8 | 3.5 | 3.8 | 3.1 |
| | 2.7 | 2.9 | 2.6 | 2.4 | 2.6 |
| | 3.2 | 3.6 | 3.6 | 3.2 | 3.5 |
| | 3.5 | 3.9 | 3.3 | 3.6 | 3.3 |
| | 3.7 | 3.7 | 3.8 | 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.
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