2 Over a long period of time it is found that the amount of sunshine on any day in a particular town in Spain has mean 6.7 hours and standard deviation 3.1 hours.
- Find the probability that the mean amount of sunshine over a random sample of 300 days is between 6.5 and 6.8 hours.
- Give a reason why it is not necessary to assume that the daily amount of sunshine is normally distributed in order to carry out the calculation in part (i).