Problem: A local airport has modified its operations to help airlines reduce delays. Airport managers believe that these modifications have reduced the daily number of late departures. Typically, the average number of late departures on a given weekday is distributed normally with a mean of 46. The airport informally records the number of late departures for 12 weekdays and finds and average of 41 late departures per day, with a sample standard deviation of 11.9. At a significance level of = 0.05, test to determine if these sample data support managers claims of success. Provide justifications and citations for your responses.