An experiment has been performed with a factor that has only two levels. Samples of size n1 = n2 = 10 have been taken, and the resulting sample data is as follows:

y1 = 10.7, y2 = 15.1, S1 = 1.5, S2 = 4.1.

It seems likely that the two population variances are not the same. Can you conclude that there is no difference in means using ???? = 0.05? What are bounds on the P-value for this test?
Find a 95 percent confidence interval on the difference in the two means. Does the confidence interval provide any information that is useful in interpreting the test of the hypothesis on the difference in the two means?