An airline would like to advertise that its average service time is less than 2.5 minutes. The airline selected a random sample of 30 passengers and recorded the service time for each. The sample had a mean of 132 seconds and a standard deviation of 59 seconds. Conduct the appropriate hypothesis test to determine if the sample provides sufficient statistical evidence to conclude that the true population mean service time is less than 2.5 minutes.

Round your final answer to four decimal places. 0.0000