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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 } } }

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The standard error for the difference in means if two random variables M and W , when the two population variances are different, is a. sM2+sW2nM+nW\sqrt { \frac { s _ { M } ^ { 2 } + s _ { W } ^ { 2 } } { n _ { M } + n _ { W } } } .

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

c. 12(sM2nM+sW2nW)\sqrt { \frac { 1 } { 2 } \left( \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } \right) } .

d. sM2nM+sW2nW\sqrt { \frac { s _ { M } ^ { 2 } } { n _ { M } } + \frac { s _ { W } ^ { 2 } } { n _ { W } } } .


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