Problem 9. A random sample of size n1 = 25, taken from a normal population with a standard deviation σ1 = 5.2, has a mean x̄ = 81. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation σ2 = 3.4, has a mean x̄2 = 76. Test the hypothesis that μ1 = μ2 against the alternative, μ1 ≠ μ2. Quote a P-value in your conclusion.