Construct and Interpret Confidence Intervals Regarding the Difference of Two $95 \%$

question 82

Multiple Choice

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

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

---

Definitions:

Efficiency Practice

Involves utilizing the most effective strategies and methods in a time-sensitive manner to achieve the best outcomes.

Salutary Suggestions

Beneficial recommendations or advice aimed at promoting health or wellbeing.

Stamina

The ability to sustain prolonged physical or mental effort; endurance.

Efficacy Research

Studies conducted to assess the effectiveness of interventions, treatments, or therapies under controlled conditions.