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## Assume that you have a sample of n1 = 4, with the sample mean X_bar1 = 48, and a sample standard deviation of S1 = 4

Assume that you have a sample of n1 = 4, with the sample mean X_bar1 = 48, and a sample standard deviation of S1 = 4, and you have an independent sample of n2 = 6 from another population with a sample mean of X_bar2 = 39 and the sample standard deviation S2 = 3. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that u1 > u2?

Determine the hypotheses.

Find the test statistic

Find the p-value

Make the correct decision about the null hypothesis.