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: $\sigma _ { 1 } = 2.5 \text { and } \sigma _ { 2 } = 2.8$ Sample statisticsstatistics: $\overline { \mathrm { x } } 1 = 12 , \mathrm { n } _ { 1 } = 40 \text { and } \overline { \mathrm { x } } 2 = 13 , \mathrm { n } _ { 2 } = 35$

A) 0.1052
B) 0.0526
C) 0.4020
D) 0.1138