A random sample of size n = 13 obtained from a population that is normally distributed results in a sample mean of 45.3 and sample standard deviation of 12.4. An independent sample of size n = 18 obtained from a population that is normally distributed results in a sample mean of 52.1 and sample standard deviation of 14.7. Does this constitute sufficient evidence to conclude that the population means differ at the α = 0.05 level of significance? Perform the appropriate hypothesis test.