The GRT claims that from 8 am to 4 pm, there is an average of, Mu(u)= 27, buses that come to Conestoga Doon campus every hour. It is known that the number of buses visiting the campus is normally distributed with sigma (o )= 4.

a.Andre has been assigned by the Region of Waterloo to assess bus service. He regularly visits the Doon campus and counts buses that arrive in hour-long periods. After 25 visits (ie. n = 25), Andre finds the mean number of buses that arrive in an hour-long period is mean = 29.

b. What percentage of samples of hour-long periods have an average of fewer than 29 arriving buses? What percentage of samples of hour-long periods have an average of more than 29 arriving buses? Please include a

sketch that details this situation.