What is the df for the numerator?

We have to find the df for the numerator

Use the table given below of weight for the different groups to calculate the degree of freedom for the numerator

To calculate the degree of freedom for the 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 $L1$, $L2$and $L3$. The screenshot is given below:

Now-Again press STAT $\to$arrow over the TESTS $\to$arrow down to ANOVA $\to$Press var then select1, press var then select 2, press var then select 3 to fill the values of $L1,L2$and $L3$. The screen shot is given as below:

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

The Degree of freedom of Numerator is 2