Test the Claim That $\mu _ { 1 } > \mu _ { 2 }$

question 65

Essay

Test the claim that $\mu _ { 1 } > \mu _ { 2 }$ Assume the two samples are random and independent. Use $\alpha = 0.01 .$ Population statistics: $\sigma _ { 1 } = 45 \text { and } \sigma _ { 2 } = 25$ Sample statisticsstatistics: $\overline { \mathrm { x } } 1 = 630 , \mathrm { n } _ { 1 } = 100 \text { and } \overline { \mathrm { x } } 2 = 615 , \mathrm { n } _ { 2 } = 125$

---

Definitions:

Operating Departments

Divisions within an organization that are directly responsible for producing goods or providing services.

Personnel Costs

The expenses directly related to the hiring, training, and payment of employees.

Information Technology

The employment of computers, telecommunications, and various instruments for storing, accessing, sending, and altering information.

Process Costing

A costing method used for homogenous products, where costs are assigned to mass-produced items in continuous processes.