The park manager at Fort Fisher State Park in North Carolina believes that the typical park visitor spends at least 90 minutes in the park during the summer months. A sample of 18 visitors during the summer months of 2011 revealed the mean in the park was 96 minutes with a standard deviation of 12 minutes. At the 0.01 significance level, is it reasonable to conclude that the mean time in the park is greater than 90 minutes?