Find the Standardized Test Statistic to Test the Hypothesis That $\mu _ { 1 } > \mu _ { 2 }$

question 81

Multiple Choice

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 $\alpha = 0.05$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 100 & \mathrm { n } _ { 2 } = 125 \\\overline { \mathrm { x } } 1 = 505 & \overline { \mathrm { x } } 2 = 490 \\\mathrm {~s} _ { 1 } = 45 & \mathrm {~s} _ { 2 } = 25\end{array}$$

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

---

Definitions:

Schizophrenia

A serious mental disorder in which people interpret reality abnormally, leading to hallucinations, delusions, and extremely disordered thinking and behavior.

High Risk

Refers to situations or activities that have a substantially increased likelihood of adverse consequences or potential for significant harm.

Case Supervisor

A professional responsible for overseeing and managing the progress of a particular case or client, often in legal, social services, or healthcare contexts.

Bipolar Disorder

A psychological disorder marked by severe fluctuations in mood, ranging from very high emotions (mania or hypomania) to very low feelings (depression).