How many people are immigrating? If it just one person then you enter the number 1 in both those boxes (parts 13 and 15) and enter the immigrant's name and date of birth in the table in part 13.
The sponsor (the person who filed the I-130 on immigrants behalf) puts the name in the box preceded by "I, the sponsor..." and signs part 13.
The joint sponsor puts their name in the box in part 15 and also signs.
I promise you this is correct, this is what I did on the I-864A and I had no issues getting an approval. Good Luck!