In: Statistics and Probability
In the Chapultepec zoo, hippos are overweight. For this reason it was decided to change the food that is supplied to them. For a sample of 12 hippos, their weight before X and their weight after Y were recorded, and the weights shown below were obtained.
X 800 700 600 900 700 1000 800 600 500 800 1000
800
Y 600 500 800 600 900 800 1000 700 500 600 900 500
Determine by hypothesis testing whether it is possible to claim that hippos decreased their weight with the new food. Use a significance level of 0.05.
Let us denote the difference
d = weight before(X) - weight after(Y)
There is sufficient evidence to support the claim that hippos significantly decreased their weight with the new food.