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

question 85

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

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

---

Definitions:

Treatment Technique

A specific method or approach applied in therapeutic or medical contexts to address health issues and promote healing or well-being.

Therapy

The treatment of mental, emotional, or physical disorders through psychological, physical, or other specialized methods.

Popularity

The state or condition of being liked, admired, or supported by many people.

Unpopularity

A state or condition of not being liked or popular among peers or in a broader social context.