What affects grade point average? Does GPA depend on gender? Does GPA

depend on class (freshman, sophomore, junior, senior)? In a study, the following GPAs

were collected from random samples of college students. There are four values in

each cell:

Freshmen

Sophomore

Junior

Senior

Male

3.2, 3.6, 3.8, 3.5

3.7, 3.3, 3.6, 2.6

3.3, 3.6, 2.6, 2.4

2.3, 3.5, 3.9, 2.9

Female

3.8, 3.6, 3.5, 3.1

2.9, 3.8, 3.1, 3.2

2.3, 2.5, 2.9, 3.5

3.0, 2.1, 2.8, 2.7

a.

List the factors and the number of levels for each factor.

b.

Suppose the test statistic and p-value for the interaction term are 0.43 and

0.736, respectively. Determine if there is any evidence of interaction between

the two factors at the 5% level of significance.

c.

Suppose the test statistic and p-value for the class factor are 3.32 and 0.037,

respectively. Determine if there is any evidence of a difference in mean GPA

based on class at the 5% level of significance.

d.

Suppose the test statistic and p-value for the gender factor are 1.26 and 0.273,

respectively. Determine if there is any evidence of a difference in mean GPA

based on gender at the 5% level of significance

2. (6 Points) What affects grade point average? Does GPA depend on gender? Does GPA depend on class (freshman, sophomore, junior, senior)? In a study, the following GPAs were collected from random samples of college students. There are four values in each cell: Freshmen Sophomore Junior Senior Male 3.2, 3.6, 3.8, 3.7, 3.3, 3.6, 3.3, 3.6, 2.6, 2.3, 3.5, 3.9, 2.9 3.5 2.6 2.4 Female 3.8, 3.6, 3.5, 2.9, 3.8, 3.1, 2.3, 2.5, 2.9, 3.0, 2.1, 2.8, 2.7 3.1 3.2 3.5 a. List the factors and the number of levels for each factor. b. Suppose the test statistic and p-value for the interaction term are 0.43 and 0.736, respectively. Determine if there is any evidence of interaction between the two factors at the 5% level of significance. c. Suppose the test statistic and p-value for the class factor are 3.32 and 0.037, respectively. Determine if there is any evidence of a difference in mean GPA based on class at the 5% level of significance. d. Suppose the test statistic and p-value for the gender factor are 1.26 and 0.273, respectively. Determine if there is any evidence of a difference in mean GPA based on gender at the 5% level of significance