The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $17,200. It is believed that the population standard deviation for student debt load is $4,200. The is set to 0.05. The confidence interval for this hypothesis test would be ________.

a.[$14,118.9, $19,881.2]

b. [$15,788.25, $18,611.75]

c. [$14,839.1, $19,160.9]

d. [$16,788.22, $19,611.78]