Two Samples Are Random and Independent $\mu _ { 1 } > \mu _ { 2 } . \text { Use } \alpha = 0.05 \text {. }$

Multiple Choice

Two samples are random and independent. Find the P-value used to test the claim that $\mu _ { 1 } > \mu _ { 2 } . \text { Use } \alpha = 0.05 \text {. }$ Population statistics: $\sigma _ { 1 } = 40 \text { and } \sigma _ { 2 } = 24$ Sample statistics: $\overline { \mathrm { x } } 1 = 615 , \mathrm { n } _ { 1 } = 100 \text { and } \bar { x } _ { 2 } = 600 , \mathrm { n } _ { 2 } = 125$

A) 0.0005
B) 0.0505
C) 0.1015
D) 0.5105