$30
Pizza size
In 2012, an Australian pizza company launched a marketing campaign claiming that their pizzas were larger than their rival’s. We can test these claims using data collected by an independent company.
Each row in pizza.txt corresponds to a pizza that was purchased and measured. The variables are
• size: the diameter of the pizza in cm.
• store: a factor indicating the store the pizza was purchased from, with levels A and B (the store names have been anonymised).
• crust: a factor describing the crust of the pizza, with levels thick, thin, and mid.
The claims were made by Store A. We are interested in a few questions. Does Store A actually make bigger pizzas? Is the type of crust related to the size of the pizza? Does the difference in pizza size between stores depend on the crust type? Conduct a full analysis, and include Methods and Assumption Checks along with an Executive Summary, answering the above questions.