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The 95 Percent Confidence Interval for the Difference Between Two (Xˉ1−Xˉ2)−2(sxˉ1−xˉ2)\left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) - 2 \left( s \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)

Question 67

Multiple Choice

The 95 percent confidence interval for the difference between two independent population means is given by.


A) (Xˉ1−Xˉ2) −2(sxˉ1−xˉ2) \left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) - 2 \left( s \bar { x } _ { 1 } - \bar { x } _ { 2 } \right) to (Xˉ1−Xˉ2) +2(sXˉ1−Xˉ2) \left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) + 2 \left( s _ { \bar { X } _ { 1 } - \bar { X } _ { 2 } } \right)
B) (Xˉ1−Xˉ2) −t.05(sxˉ2=xˉ2) \left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) - t .05 \left( s \bar { x } _ { 2 } = \bar { x } _ { 2 } \right) to (Xˉ1−Xˉ2) +t05(sxˉ1−xˉi) \left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) + t _ { 05 } \left( s _ { \bar { x } _ { 1 } - \bar { x } _ { i } } \right)
C) (Xˉ1−Xˉ2) −t.05(sX′) \left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) - t _ { .05 } \left( s _ { X ^ { \prime } } \right) to (Xˉ1−Xˉ2) +t.05(sXˉ) \left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) + t .05 \left( s _ { \bar { X } } \right)
d (Xˉ−Xˉ) −tcos⁡(eXˉ) ( \bar { X } - \bar { X } ) - t \cos \left( e _ { \bar { X } } \right) to (Xˉ1−Xˉ2) +t95(sXˉ) \left( \bar { X } _ { 1 } - \bar { X } _ { 2 } \right) + t _ { 95 } ( s \bar { X } )

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