Question

61. degrees of freedom $-$ numerator: $df(num)=$

Short answer

The degree of freedom in the numerator is $4$.

Step-by-step solution

Given information

Evaluate the data of five teenagers in each region of the country to estimate the degree of freedom in the numerator:

Northeast	South	West	Central	East
16.3	16.9	16.2	16.2	17.1
16.1	16.5	16.5	16.6	17.2
16.4	16.4	16.6	16.5	16.6
16.5	16.2	16.1	16.4	16.8

Explanation

Using the calculator $Ti-83$for the degree of freedom in the numerator. So, click on STAT $\to$press $1\to$EDIT, then put the weights of different groups data into the list$L1,L2,$and $L3$. The screenshot is:

Explanation

Then, 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 $3$, press var then select $4$and press var then select $5$to fill the values of$L1,L2,L3,L4$and $L5$. The screen shot is:

Explanation

Press ENTER. The screenshot of the obtained output of calculated the degree of freedom in the numerator is: