The time spent on volunteer activities varies within a group of students. A particular group of students has an average of 2 hours per week spent on volunteering, and the SD is 3 hours. Clearly the...

The time spent on volunteer activities varies within a group of students. A particular group of students has an average of 2 hours per week spent on volunteering, and the SD is 3 hours. Clearly the histogram does not follow the normal curve; in fact it is quite skewed to the right, with many students spending zero hours towards volunteering and some students spending many more hours on it.

If we randomly select 100 students from this group and calculate the average length of time spent towards volunteering among this random sample, what is the approximate chance that this average is greater than 2.5 hours?