Claim: \(\mu_{1} \leq \mu_{2} ; \alpha=0.10\). Assume \(\sigma_{1}^{2} eq \sigma_{2}^{2}\)

Sample statistics: \(\bar{x}_{1}=664.5, s_{1}=2.4, n_{1}=40\) and

\[ \bar{x}_{2}=665.5, s_{2}=4.1, n_{2}=40 \]

Test the claim about the difference between two population means \(\mu_{1}\) and \(\mu_{2}\) at the level of significance \(\alpha\). Assume the samples are random and independent, and the populations are normally distributed.