Answer:
The mean of the sampling distribution is 14.5 years and the standard deviation is 0.34 years.
Explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
Population:

Sample:
55 students, so

Then

The mean of the sampling distribution is 14.5 years and the standard deviation is 0.34 years.