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 $18,200 with a standard deviation of $4,200.

a. What hypothesis should the Department of Education use?

b. What is the test statistic? Round answer to three decimal places.

c. What is the p value? Round answer to four decimal places.

d. At a 10% significance level, what is the conclusion?

e. Let us suppose you later learn the conclusion is incorrect. What is the error type you committed and what is the error's consequences?