Provide an Appropriate Response $\$ 686.75$ With a Standard Deviation Of $\$ 256.20$

Multiple Choice

Provide an appropriate response.
-A local bank needs information concerning the savings account balances of its customers. A random sample of 15 accounts was checked. The mean balance was $\$ 686.75$ with a standard deviation of $\$ 256.20$ . Find a $98 \%$ confidence interval for the true mean. Assume that the account balances are normally distributed.

A) $( \$ 513.17 , \$ 860.33 )$
B) $( \$ 238.23 , \$ 326.41 )$
C) $( \$ 326.21 , \$ 437.90 )$
D) $( \$ 487.31 , \$ 563.80 )$