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

question 61

Multiple Choice

Find the standardized test statistic to test the hypothesis that $\mu _ { 1 } \neq \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.02$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \\\overline { \mathrm { x } } 1 = 6.3 & \overline { \mathrm { x } } 2 = 6.7 \\\mathrm {~s} 1 = 0.76 & \mathrm {~s} 2 = 0.51\end{array}$$

• A) -2.97
• B) -1.82
• C) -2.12
• D) -2.32

---

Definitions:

Debt-Equity Ratio

The Debt-Equity Ratio is a measure of a company's financial leverage, indicating the proportion of equity and debt used to finance a company's assets.

Capital Intensity Ratio

A financial metric indicating the amount of capital needed per unit of revenue, typically used to assess the business model's reliance on physical capital.

Total Assets

Represents the sum of everything of value owned by a company, including cash, investments, property, and equipment.

Sales

The exchange of goods or services for money, representing the primary source of revenue for most businesses.