A Bank Examiner Is Interested in Estimating the Mean Outstanding

Multiple Choice

A 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.If the outstanding balance is normally distributed,the 90% confidence interval for the mean balance of defaulted loans over the past three years would be _____.

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