Assume that you have a sample of n 1 = 7, with the sample mean x 1 = 45, and a sample standard deviation of Upper S 1 = 5, and you have an

Assume that you have a sample of n1 = 7​, with the sample mean x̄1 = 45​, and a sample standard deviation of Upper S1 = 5​, and you have an independent sample of n2=4 from another population with a sample mean of Upper x̄2 = 38 and the sample standard deviation Upper S2 = 6. Assuming the population variances are​ equal, at the 0.01 level of​ significance, is there evidence that μ1>μ2​?

Find the​ p-value.