A recent study by the Greater Los Angeles Taxi Drivers Association showed that the mean fare charged for service from Hermosa Beach to Los Angeles International Airport is $20 and the standard deviation is $3.20. We select a sample of 24 fares.
What is the likelihood that the sample mean is between $19 and $21? Assume the population of fares is normally distributed. (Round z value to 2 decimal places and final answer to 4 decimal places.)