The standard error for the difference in means if two random variables M and W , when the two population variances are different, is a. $\sqrt { \frac { s _ { M } ^ { 2 } + s _ { W } ^ { 2 } } { n _ { M } + n _ { W } } }$.

b. $\frac { s _ { M } } { n _ { M } } + \frac { s _ { W } } { n _ { W } }$.

c. $\sqrt { \frac { 1 } { 2 } \left( \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } \right) }$.

d. $\sqrt { \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } }$.

Question

The standard error for the difference in means if two random variables M and W , when the two population variances are different, is a. $\sqrt { \frac { s _ { M } ^ { 2 } + s _ { W } ^ { 2 } } { n _ { M } + n _ { W } } }$.

b. $\frac { s _ { M } } { n _ { M } } + \frac { s _ { W } } { n _ { W } }$.

c. $\sqrt { \frac { 1 } { 2 } \left( \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } \right) }$.

d. $\sqrt { \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } }$.

Quizplus · Accepted Answer

The Answer of The standard error for the difference in means if two random variables M and W , when the two population variances are different, is a. $\sqrt { \frac { s _ { M } ^ { 2 } + s _ { W } ^ { 2 } } { n _ { M } + n _ { W } } }$.

b. $\frac { s _ { M } } { n _ { M } } + \frac { s _ { W } } { n _ { W } }$.

c. $\sqrt { \frac { 1 } { 2 } \left( \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } \right) }$.

d. $\sqrt { \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } }$.

The Standard Error for the Difference in Means If Two sM2+sW2nM+nW\sqrt { \frac { s _ { M } ^ { 2 } + s _ { W } ^ { 2 } } { n _ { M } + n _ { W } } }nM​+nW​sM2​+sW2​​​

The Standard Error for the Difference in Means If Two $\sqrt { \frac { s _ { M } ^ { 2 } + s _ { W } ^ { 2 } } { n _ { M } + n _ { W } } }$