Construct a 95 % Confidence Interval For $\mu _ { 1 } - \mu _ { 2 }$

question 77

Multiple Choice

Construct a 95 % confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ Two samples are randomly selected from each population.
The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 50 & \mathrm { n } _ { 2 } = 60 \\\overline { \mathrm { x } } 1 = 25 & \bar { x } _ { 2 } = 23 \\\mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}$

• A) (1.364,2.636)
• B) (1.572,2.987)
• C) (1.723,3.012)
• D) (1.919,3.142)

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