Question: A researcher claims that the standard deviation of the ages of cats is smaller than the standard deviation of the ages of dogs that are owned by families in a large city. A randomly selected sample of 29 cats has a standard deviation of 2.7 years, and a random sample of 16 dogs has a standard deviation of 3.5 years. Is the researcher correct? Use α = 0.05. If here is a difference, suggest a reason for the difference.