Find the Standardized Test Statistic to Test the Claim That $\mu _ { 1 } > \mu _ { 2 } .$

Multiple Choice

Find the standardized test statistic to test the claim that $\mu _ { 1 } > \mu _ { 2 } .$ Assume the two samples are random and independent.
Population statistics: $\sigma _ { 1 } = 45 \text { and } \sigma _ { 2 } = 25$ Sample statistics: $\bar { x } 1 = 480 , n _ { 1 } = 100 \text { and } \bar { x } { 2 } = 465 , n _ { 2 } = 125$

A) 2.99
B) 2.81
C) 1.86
D) 0.91