A random sample of 88 male deaths in a county over a one-year period had a mean age at death of 68.9 years, with a standard deviation of 16.71 years. A random sample of 84 female deaths in the same county over the same one-year period had a mean age at death of 77.1 years, with a standard deviation of 15.65 years. At the 0.01 level of significance, test the claim that the mean age at death in this county is lower for males than it is for females.