The quality control specialist of a fast food restaurant wants to analyze the drive-thru service times during lunch. After reviewing the records of drive-thru service times between 11:00 AM and 2:00 PM, it is determined that the population distribution of lunch drive-thru service times is skewed right with a mean of 174.6 seconds and a standard deviation of 88.7 seconds.

b. Assuming that the new delivery system has no effect on the lunch service times and the population mean is 174.6 seconds, what is the probability of obtaining a sample mean of the time in part a. or less? Include a labelled diagram with the appropriate region shaded in. as part of your solution. Show your work, including all calculations. (Sample mean in part a was 171.5)