State What the Given Confidence Interval Suggests About the Two $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)$

Multiple Choice

State what the given confidence interval suggests about the two population means.
-A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. Give an expression for the population standard deviation of the $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)$ values in terms of $\mathrm { s } _ { 1 } , \mathrm {~s} _ { 2 } , \mathrm { n } _ { 1 } \text {, and } \mathrm { n } _ { 2 }$

A) $\sqrt { \frac { s _ { 1 } ^ { 2 } } { n _ { 1 } } + \frac { s _ { 2 } ^ { 2 } } { n _ { 2 } } }$
B) $\sqrt { \frac { s ^ { 2 } } { 1 } }$
C) $\sqrt { \frac { \mathrm { s } _ { 1 } ^ { 2 } } { \mathrm { n } _ { 1 } } - \frac { \mathrm { s } _ { 2 } ^ { 2 } } { \mathrm { n } _ { 2 } } }$
D) $\frac { \mathrm { s } _ { 1 } ^ { 2 } } { \mathrm { n } _ { 1 } } + \frac { \mathrm { s } _ { 2 } ^ { 2 } } { \mathrm { n } _ { 2 } }$

E) $\frac { 1 } { n } + \frac { s } { n _ { 2 } }$