The null and alternate hypotheses are: H₀ : ₁ = ₂ H₁ : _{1 2} A random sample of 8 observations from one population revealed a sample mean of 23 and a sample standard deviation of 3.8. A random sample of 9 observations from another population revealed a sample mean of 27 and a sample standard deviation of 3.8. The population standard deviations are unknown but assumed to be equal. At the 0.05 significance level, is there a difference between the population means?