A major airline claims that their domestic flights arrive an average of 6 minutes early with a standard deviation of 25 minutes. A random sample of 30 recent flights found that the mean arrival time of these flights was 4 minutes late. Assuming the airliners claims are true, what is the probability of a sample like this indicating this degree of lateness or worse? Round off your answer as a percentage to the nearest tenth of a percent. (When thinking about these arrival times as a random variable, think of early arrivals as negative numbers, and late arrivals as positive numbers.)