Use the given degree of confidence and sample data? to construct a confidence interval for the population mean μ. 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.

$455.65 < μ < $872.63
$492.52 < μ < $835.76
$493.71 < μ < $834.57
$453.59 < μ < $874.69

Show work. Ignore the question marks.