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

Multiple Choice

Find the standardized test statistic to test the claim that $\mu _ { 1 } \neq \mu _ { 2 } .$ Assume the two samples are random and independent.
Population statistics: $\sigma _ { 1 } = 0.76 \text { and } \sigma _ { 2 } = 0.51$ Sample statistics: $\overline { \mathrm { x } } 1 = 4.1 , \mathrm { n } _ { 1 } = 51 \text { and } \overline { \mathrm { x } } 2 = 4.5 , \mathrm { n } _ { 2 } = 38$

A) -2.97
B) -1.82
C) -2.12
D) -2.32