Test Hypotheses Regarding the Difference of Two Independent Means
-Find $\mu _ { 1 } > \mu _ { 2 }$

question 8

Multiple Choice

Test Hypotheses Regarding the Difference of Two Independent Means
-Find the standardized test statistic to test the hypothesis that $\mu _ { 1 } > \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.05$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 100 & \mathrm { n } _ { 2 } = 125 \\\overline { \mathrm { x } } 1 = 545 & \overline { \mathrm { x } _ { 2 } } = 530 \\\mathrm {~s} 1 = 45 & \mathrm {~s} _ { 2 } = 25\end{array}$$

• A) \(2.98\)
• B) \(2.81\)
• C) \(1.86\)
• D) \(0.91\)

---

Definitions:

Fundamental Attribution Error

The tendency to overemphasize personal characteristics and ignore situational factors in judging others' behavior.

Central Route Change

A persuasive approach that focuses on logical arguments and content, leading to long-lasting attitude change by engaging systematic thinking.

Reactance

A stimulating response to proposals, individuals, regulations, or norms that challenge or remove certain freedoms of behavior.

Cognitive Dissonance

The psychological discomfort experienced by an individual who holds two or more contradictory beliefs, ideas, or values at the same time.