A medical college dean read that the average number of applications a potential medical school student sends is 7.7. She thinks that the mean is lower than 7.7. So she selects a random sample of 28 applicants and asks each how many medical schools they applied to. The mean of the sample is 6.8. The population standard deviation is 2.5. Test her claim at a = 0.10 Assume that the variable is normally distributed. Use the P-value method with tables.