12-1. The times (in minutes) required to complete a test administered by the human resources department of ABC Co. are approximately N(78, 12).

The department would like to ascertain whether applicants for employment who have completed at least two years of college complete the test faster than the norm. Suppose a random sample of 30 applicants finish the test in an average time of 72 minutes. Let α = 0.05. Suppose the human resources department simply wanted to detect a difference in the sample average from the norm. What is to be concluded? What is the p-value for the test?