Answer:
If you are gonna apply the scientific method, you need to defined the independent variable and the dependent variable.
In this case, the independent variable is peanuts, and the dependent varable is the size of eggs. Mainly beacuse the size of eggs depends on the number of peanust, that's the hypothesis made.
So, to determine how many peanuts a chicken needs to eat to make larger eggs, you need to make many observations. You start with one peanut, observe the size of the eggs, that way you'll know the size of an egg with one peanut. Then, you repeat this process increasing the number of peanuts in each experiment.
Making this experiment, you will actually prove if your hypothesis is correct, or if it's not. if it's correct, you will also find the number of peanuts needed to produce larger eggs.