Answer Happy

277 breeds of dog and was extracted from the American Kennel Club website by Telmo Filho. Included in the data is a popularity variable that contains a ranking from 1 to 195. Labrador Retrievers are the most popular breed with a popularity of 1. You are interested in whether dogs in the Terrier group or dogs in the Toy group are more popular. To answer this question, you consider running a Welch's t-test. This may or may not be the most appropriate test for this scenario. Let X1, X2, ...Xn be identically distributed random variables representing the popularity of Terrier breeds, and let Y₁, .Y2, ..., Ym be identically distributed random variables representing the popularity of Toy breeds. While not a comprehensive treatment, three key assumptions for the t-test are as follows: X₁, X2,... Xn and Y₁, Y2, Ym are measured on an interval scale. X1, X2, ..., Xn and Y₁, Y2, ..., Ym are mutually independent. • The distribution of the X's and the distribution of the Y's are normal. However, the Central Limit Theorem guarantees that the t-test is asymptotically correct without this assumption Evaluate each assumption, presenting evidence based on your background knowledge, visualizations, and numerical summaries. You may upload a pdf file containing your answer. ●