Assuming That All Necessary Conditions Are Met, What Needs to Be

question 3

Multiple Choice

Assuming that all necessary conditions are met, what needs to be changed in the formula $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right) \pm z _ { \mathbb { \alpha } / 2 } \sqrt { S _ { p } ^ { 2 } \left( \frac { 1 } { n _ { 1 } } + \frac { 1 } { n _ { 2 } } \right) }$ so that we can use it to construct a confidence interval estimate for the difference of two population means when the population variances are assumed to be equal?

• A) The \(\bar { x } _ { 1 } - \bar { x } _ { 2 }\) should be replaced by \(\mu _ { 1 } - \mu _ { 2 }\) .
• B) The z \(\alpha / 2\) should be replaced by \(Z _ { \alpha }\) .
• C) The z \(\alpha / 2\) should be replaced by \(t _ { \alpha / 2 }\) .
• D) The \(S _ { p } ^ { 2 }\) should be replaced by \(s _ { 1 } ^ { 2 } + s _ { 2 } ^ { 2 }\) .

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