Gender: Grade Point Average Does college grade point

Chapter , Problem 6

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Gender: Grade Point Average 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. Minitab Printout for Media/Income Data Analysis of Variance for Index Source DF SS MS F P Income 3 1078 359 2.77 0.088 Media 4 15 4 0.03 0.998 Error 12 1558 130 Total 19 2651 650 Chapter 11 CHI-SQUARE AND F DISTRIBUTIONS Media Cable Prime-Time Income Level Network TV Radio Newspaper Magazine Less than $20,000 78 112 89 80 91 $20,000$39,999 97 105 100 97 100 $40,000$74,999 113 92 106 111 105 $75,000 or more 121 94 107 121 105 Source: From American Demographics, Vol. 17, No. 6. Reprinted with permission, copyright 1995 American Demographics, Ithaca, NY. Class Gender Freshman Sophomore Junior Senior Male 2.8 2.1 2.5 2.3 3.1 2.9 3.8 3.6 2.7 3.0 2.9 3.5 3.2 3.8 3.5 3.1 Female 2.3 2.9 2.6 2.4 2.6 3.6 3.2 3.5 3.5 3.9 3.3 3.6 3.3 3.7 3.8 3.6 (a) List the factors and the number of levels of each factor. (b) Use two-way ANOVA and the following Minitab printout to determine if there is any evidence of interaction between the two factors at a level of significance of 0.05. 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 8.159 651 (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 0.05. (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 0.05