Please help me figure out how to do this problem. I need to be able to understand how to solve problems like this. Thanks times a million!
Problem: An employer is interested in the commute times for its employees. The commute times (traveling from home to work) of all 2500 employees were recorded. The mean is 23.1928 minutes and the standard deviation is 9.438181 minutes. In a random sample of 10 people, what's the probability that the sample mean commute time will be less than 15 minutes?
note: The data is normally distributed.