The distribution of the amount of money in savings accounts for University of Florida students has an average of 300 dollars and a standard deviation of 1,000. Suppose that we take a random sample of 10 UF students and ask them how much they have in their savings account. The sampling distribution of the sample mean amount of money in a savings account is

A. approximately Normal, with a mean of 300 and a standard error of 1000
B. approximately Normal, with a mean of 300 and a standard error of 316.23
C. approximately Normal with an unknown mean and standard error
D. not Approximately Normal