Stats question regarding probability --- A normal random variable has a mean of 5.14 and a standard deviation?

Question

A normal random variable has a mean of 5.14 and a standard deviation of 4. If n=16, what is the probability that the sample mean is between 3% and 7%?

Answer 1

I think you mean between 3 and 7; however, in order to answer this question you must specify the confidence interval.

Answer 2

I also think that you meant 3 and 7. However, is the mean of 5.14 the population mean or is it the sample mean. What about the variance - population or std. dev.? I presume you meant sample...