12. (10 points) The doctors at Princeton Plainsboro Teaching Hospital are concerned that their personalities may be affecting their patients. They each treat five patients for a migraine and record the time it takes in minutes) for their patient to start feeling better. Their results are displayed in the table below. A normal probability plot suggests the data could come from populations that are normally distributed. Dr. Cameron 6.9 5.4 5.8 4.6 6 Dr. Chase 7.8 9.8 6.1 7.6 6.2 Dr. Foreman 8.3 6.8 7.8 9.2 6.5 Dr. House 8 7.5 8.1 6.9 9.3 Test the hypothesis of equal means at the a = 0.01 level of significance.