The weights of newborn baby girls born at a local hospital are normally distributed. A hospital administrator conducts a study to determine whether the mean weight of all newborn baby girls born at the local hospital is less than 100 ounces. A random sample of size n = 20 had a mean weight of 95 ounces and a standard deviation of 8 ounces. Perform the test of hypothesis at the α = .01 level of significance.