A manager of a local package delivery store believes that too many of the packages were damaged or lost. She extracts a sample of 75 packages to create the accompanying data file with the following variables: the package number (Package), the status of the package (Status: Delivered, Damaged, or Lost), the delivery type (Delivery: Standard, Express, or Same day), and the size of the package (Size: S, M, L, and XL). a. Transform the Delivery variable into dummy variables. Use the most frequent category as the reference category. How many dummy varlables should be created? Which category of Dellvery is the reference category? b. Combine the two least-frequent categories in the Size variable into a new category called Other. How many observations are there in the new category? c. Replace the category names in the Status variable with scores ranging from 1 (Lost), 2 (Damaged), and 3 (Delivered). What is the average status score of the 75 packages? Note: Round your answer to two decimal places