A Federal Bank Examiner Is Interested in Estimating the Mean $[ 66,487 \quad 69,349 ]$

A federal bank examiner is interested in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years.A random sample of 20 defaulted loans yielded a mean of $67,918 with a standard deviation of $16,552.40.Calculate a 90 percent confidence interval for the mean balance of defaulted loans over the past three years.

A) $[ 66,487 \quad 69,349 ]$
B) $[ 39,299 \quad 96,537 ]$
C) $[ 57,329 \quad 78,507 ]$
D) $[ 61,829 \quad 74,007 ]$
E) $[ 61,519$
$74,317 ]$