The Association of Colleges and Universities report a population mean time length in a student hearing is 25 minutes. As the student affairs VP at one university thinks the hearing time is much shorter. As a researcher for the VP, you take a sample of 20 VPs who do hearing work and ask them how long was their last hearing. The mean of the sample of the 20 VPs was 23 minutes with a standard deviation of 6 and an alpha of 0.05. Test the null hypothesis that the population is 25 minutes against the alternative that it is less than 25.