Question

What is the$df$ for the numerator?

Short answer

The value of degree of freedom of numerator is $3$ .

Step-by-step solution

Given Information

Girls from four different soccer teams are to be tested for mean goals scored per game. The entries in the table are the goals per game for the different teams.

Team 1	Team 2	Team 3	Team 4
1	2	0	3
2	3	0	4
0	2	1	4
3	4	1	3
2	4	0	2

Explanation

To calculate degree of freedom of numerator, use Ti-83 calculator. For this, click on STAT $\to$press $1\to$EDIT, then put the above given weights of different groups data into the list $L1,L2,L3andL4$. The screenshot is given as below:

Explanation

Now again press STAT $\to$arrow over the TESTS $\to$arrow down to ANOVA $\to$Press var then select$1$, press var then select $2$, press var then select $3$and press var then select $4$to fill the values of $L1,L2,L3andL4$. The screen shot is given as below:

Explanation

Press ENTER. The screenshot of the obtained output of calculated value of degree of freedom of numerator is given as below:

Thus, value of degree of freedom of numerator is $3$.