Use the Given Degree of Confidence and Sample Data to Construct

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution.
-A savings and loan association needs information concerning the checking account balances of its local customers. A random sample of 14 accounts was checked and yielded a mean balance of $664.14 and a standard Deviation of $297.29. Find a 98% confidence interval for the true mean checking account balance for local Customers.

A) $\$ 453.59 < \mu < \$ 874.69$
B) $\$ 455.65 < \mu < \$ 872.63$
C) $\$ 493.71 < \mu < \$ 834.57$
D) $\$ 492.52 < \mu < \$ 835.76$