Test the Claim That $\mu _ { 1 } > \mu _ { 2 }$

Essay

Test the claim that $\mu _ { 1 } > \mu _ { 2 }$ Assume the two samples are random and independent. Use $\alpha = 0.01 .$ Population statistics: $\sigma _ { 1 } = 45 \text { and } \sigma _ { 2 } = 25$ Sample statisticsstatistics: $\overline { \mathrm { x } } 1 = 630 , \mathrm { n } _ { 1 } = 100 \text { and } \overline { \mathrm { x } } 2 = 615 , \mathrm { n } _ { 2 } = 125$