1. During a Super Maria competition, gamers are randomly put into teams of 9 and each member plays the final level.  The mean time for each team is calculated and prizes are given to teams whose means are in the fastest 10% of mean times.

(i) Write down the distribution of the sample mean, $\overset{¯}{T}$.

(ii) Find, to the nearest second, the maximum mean time that would lead to a team winning a prize.  Give your answer in minutes and seconds.