"Our data is skewed right, but the confidence interval is approximately valid because the central limit theorem states that the mean of a fairly large amount of independent values, will be approximately normally distributed.
Because we have a sample size of 541 values we can assume that the confidence interval is valid and indeed reflective of the true mean of the population.
If we wanted to have a more accurate CI, we should transform the data – with this skewed data set a natural log transformation would be very useful in normalising the data.
In regards to transforming the data - we were asked to transform it later on, the natural log proved the best to make it normally distributed.
Do you guys think my above answer is sufficient?
Thanks for both of your help by the way i appreciate it