Easy-Fly Airline took a random sample of 25 flights to determine if the mean time it takes for luggage to reach the travelers departing from a flight is less than 15 minutes. The sample mean was found to be 13.8 minutes with a standard deviation of four minutes.
a. Using a significance level of .05, what conclusion can be reached based on the random sample?
b. What assumption about the data is necessary for the hypothesis test to be valid in this situation?