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

question 53

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.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 40 & \mathrm { n } _ { 2 } = 35 \\\overline { \mathrm { x } } _ { 1 } = 12 & \bar { x } _ { 2 } = 13 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}$

• A) (-2.209,0.209)
• B) (-2.001,-1.873)
• C) (-1.968,1.561)
• D) (-1.673,1.892)

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