A random sample of 56 adult coyotes in a region of northern Minnesota showed the average age to be 2.05 years, with a sample standard deviation 0.82 years. However, it is thought that the overall population mean of coyotes is 1.75 years. Do the sample data support the claim that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use = 0.01.