State the decision rule, compute the pooled estimate of the population variance, compute the test statistic, and state your decision about the null hypothesis and estimate the p-value.
The null and alternate hypotheses are:
H0: mu1 = mu2
H1: mu1 does not = mu2
A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means?