(Solved): tSTAT? Assume that you have a sample of n1=4, with the sample mean X1=44, and a sample stand ...

Assume that you have a sample of $$n_1=4$$, with the sample mean $${\stackrel{?}{X}}_1=44$$, and a sample standard deviation of $$S_1=6$$, and you have an independent sample of $$n_2=7$$ from another population with a sample mean of $${\stackrel{?}{X}}_2=38$$ and the sample standard deviation $$S_2=7$$. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that $${?}_1>{?}_2$$ ? Find the test statistic.