The public safety department at a large urban university was concerned about criminal activities involving nonstudents stealing

Question:

The public safety department at a large urban university was concerned about criminal activities involving nonstudents stealing bicycles and laptops from students. The campus police designed a study to investigate the number of automobiles entering the campus that do not have a campus parking sticker or do not enter a campus parking facility. The police were suspicious that such individuals may be involved in criminal activities. A team of criminal justice students was stationed at each entrance to the campus to monitor simultaneously the license numbers of all cars and to determine if each car had a campus parking sticker. By utilizing the computer records of all campus parking facilities, which record the license number of all cars upon their entrance to a parking facility, the teams were able to determine the numbers of cars entering the campus but not using campus facilities. Data were collected during a random sample of 12 weeks throughout the academic year. The counts of €œsuspicious€ cars were recorded on the five business days during the selected 12 weeks and appear here.

a. Write an appropriate linear statistical model for this experiment. Identify all the terms in your model, and state all the conditions that are imposed on these terms.
b. Display a complete analysis of variance table, including expected mean squares, F tests, and p-values.
c. Bicycle and laptop thefts seem to occur in clusters. Therefore, if the count of €œsuspicious€™€™ cars is associated with theft, then there should be a large variation in the weekly counts. Does the number of suspicious cars arriving on campus on a weekly basis remain fairly constant over the academic year?
d. Use the residuals from the fitted model to determine if there are any violations in the conditions necessary to conduct the tests of hypotheses in this experiment.