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

question 55

Multiple Choice

Construct a 95 % confidence interval for $\mu _ { 1 } = \mu _ { 2 }$ Two samples are randomly selected from normal populations.
The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 8 & \mathrm { n } _ { 2 } = 7 \\\overline { \mathrm { x } } _ { 1 } = 4.1 & \overline { \mathrm { x } } _ { 2 } = 5.5 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 2.51\end{array}$

• A) (-3.813,1.013)
• B) (-1.132,1.543)
• C) (-1.679,1.987)
• D) (2.112,2.113)

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