The Boston Marathon is the world’s oldest annual marathon, held every year since 1897. In 2019, 26,632 runners finished the race, with a mean time for all runners of 3:53:01 (about 233 minutes) with standard deviation 0:44:59 (about 45 minutes). Find the mean and standard deviation (in minutes) of the distribution of sample means if we take random samples of Boston marathon finishers of size: 

(a) n = 10

(b) n = 100 

(c) n = 1000