I am working on the following problem:
The Department of Environmental Protection demands that your power plant show a mean NOx emission less than 5lb/MWh. Your plant's daily NOx emission fluctuates randomly with a mean of 4.9lb/MWh and a standard deviation of 0.5lb/MWh.
If the DEP randomly selects and tests emissions on 30 independent days, what is the probability that the sample mean will exceed the limit? (Hint: sampling distribution, use cdf functions to calculate the probability (normalcdf()).
I am not sure how to start this -- I thought I would just plug the information into normalcdf() in my calculator, but I think this doesn't take the 30 sample size into account. Any advice?