Suppose the ages of 3000 students are normally distributed with mean 28.0 years and a standard deviation of 3 years. Researchers draw a sample of n=25 students.

1. Find the mean and standard deviation of the sampling distribution
2. If instead, researchers drew a total of 80 samples, in how many would we expect the mean to be less than 26.4 years?
3. If instead, researchers drew a total of 80 samples, in how many would we expect the mean to lie from 26.8 to 28.3 years?
4. If instead, researchers drew a total of 80 samples, in how many would we expect the mean to be more than 28.3 years?