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 $\alpha = 0.05 .$ Population statistics: $\sigma _ { 1 } = 2.9 \text { and } \sigma _ { 2 } = 2.8$ Sample statistics: $\bar { x } 1 = 25.6 , n _ { 1 } = 35 \text { and } \bar { x } 2 = 28.15 , n _ { 2 } = 42$