Two Means - Unknown, Unequal Variance: Videos & Practice Problems

Test the claim about the difference between two population means ${\mu }_1$ and ${\mu }_2$ at the significance level $\alpha =0.05$. Assume the samples are random, independent, and the populations are normally distributed with unequal variances. Claim: ${\mu }_1>{\mu }_2$. Sample statistics: ${\bar{x}}_1=610,s_1=30,n_1=8$ and ${\bar{x}}_2=590,s_2=45,n_2=7$. What is the value of the test statistic (rounded to two decimal places)?