A sample of 40 observations is selected from one population with a population standard deviation of 4.6. The sample mean is 101.0. A sample of 47 observations is selected from a second population with a population standard deviation of 4.0. The sample mean is 99.3. Conduct the following test of hypothesis using the 0.10 significance level. H0 : ?1 = ?2 H1 : ?1 ? ?2

a. what is the decision rule?
b.Compute the value of the test statistic.
c.what is the p-value?