Question

According to a recent warning from the FDA, grain-free food might be giving dogs a life-threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average blood pressure of dogs on grain-free dog food vs the average blood pressure of dogs on food that includes grains. To minimize variation in subjects, scientists measured the initial blood pressure of 30 dogs while each was still on a grain-free diet, and then took a second measurement 8 weeks after each dog was switched to a diet that included grains. What hypothesis test would be appropriate for analyzing the above scenario

Answer 1

The appropriate hypothesis test for analyzing the scenario of comparing the average blood pressure of dogs on grain-free dog food vs the average blood pressure of dogs on food that includes grains would be a paired t-test or a dependent samples t-test.

Step-by-step explanation:

The appropriate hypothesis test for analyzing the scenario of comparing the average blood pressure of dogs on grain-free dog food vs the average blood pressure of dogs on food that includes grains would be a paired t-test or a dependent samples t-test.

This is because the scientists measured the initial blood pressure of each dog before switching their diet and then measured the blood pressure again after 8 weeks of being on the new diet. These measurements are dependent because they are taken from the same group of dogs.

The paired t-test would analyze whether there is a significant difference between the average blood pressure of dogs on grain-free dog food and the average blood pressure of dogs on food that includes grains.

Answer 2

paired t-test

Step-by-step explanation:

The paired t-test is used for samples or variables that belong to the same individual or entity under study. Recall that; if the experiment is to be carried out with each experiment unit being measured twice, then giving an outcome of pairs of observations; Hence, we apply the paired t-test.