Question: A large company has been hiring graduates from two secretarial schools. The company personnel manager gave a word processing and office skills test to all applicants for secretarial positions. The test had a maximum score of 90 points. A random sample of 30 applicants from the first school had a sample mean score of 68 points with a standard deviation of 16 points. An independent random sample of 30 applicants from the second school had a mean score of 71 points with a sample standard deviation of 12 points. At the 5% significance level, test the hypothesis that there is a difference between the mean scores of all applicants from the two schools.