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

question 79

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 normal populations.
The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 10 & \mathrm { n } _ { 2 } = 12 \\ \overline { \mathrm { x } } 1 = 25 & \overline { \mathrm { x } } 2 = 23 \\ \mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9 \end{array}$

• A) \(( 0.360,3.640 )\)
• B) \(( 1.335,3.012 )\)
• C) \(( 1.413,3.124 )\)
• D) \(( 1.554,3.651 )\)

---

Definitions:

Achievable Solutions

Achievable solutions refer to resolutions or strategies that can realistically be implemented to address a problem or challenge, considering existing constraints.

Persuasive Messages

Communications aimed at influencing the attitudes, beliefs, or behaviors of the receiver.

Facts

Statements or pieces of information that are true and can be verified.

Work Plan

A detailed outline of the steps, activities, resources, and schedule needed to achieve the objectives of a project or initiative.