A corporation interviews both marketing and finance majors for general management positions. A random sample of 10 marketing majors and an independent random sample of 14 finance majors were subjected...

A corporation interviews both marketing and finance majors for general management positions. A random sample of 10 marketing majors and an independent random sample of 14 finance majors were subjected to intensive interviewing and testing by a team of the corporation’s senior managers. The candidates were then ranked from 1 (most suitable for employment) to 24, as shown in the accompanying table. Test the null hypothesis that, overall, the corporation’s senior management has no preference between marketing and finance majors against the alternative that finance majors are preferred.