Question: The null and alternate hypotheses are:

H0: \({{\mu }_{1}}={{\mu }_{2}}\)

H1: \({{\mu }_{1}}\ne {{\mu }_{2}}\)

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?