Suppose that, for the population of UVA undergraduate and graduate students, the distribution of age has a mean of 23 and a standard deviation of 2 years. We take a simple random of size 100 from this population to survey their attitudes towards course enrollment. In this sample, the sample mean age is 22.5. of course, a different random sample of 100 UVA students would likely return a different sample mean age. What is the sampling distribution?
a. A Normal distribution with a mean of 22.5 and a standard deviation of 0.2
b. A Normal distribution with a mean of 22.5 and a standard deviation of 2
c. A Normal distribution with a mean of 23 and a standard deviation of 0.2
d. A Normal distribution with a mean of 23 and a standard deviation of 2