A factory owner is told to reduce their air emissions from the emissions stack at the production facility using a filter to catch particulate matter. Particulate matter emitted is normally distributed with a mean of 37.2 micrograms for 48 hours. This factory will face penalties if the particulate matter is not reduced, so the owner wants to be sure that the filter is working and reducing particulate matter emitted. The owner collects 12 samples (each from 48-hour period) and found that the mean particulate matter emitted is 34.93 with a standard deviation of 3.60. Using a 0.01 significance level, test the claim that the mean particulate matter emitted with the filter is lower than 37.2 micrograms per 48-hours. What will the conclusion be?