Consider the Following Set of Salary Data To Determine If Women Have a Higher Mean Salary Than

question 78

Multiple Choice

Consider the following set of salary data: $\begin{array}{lrr}\hline & \text { Men (1) } & \text { Women (2) } \\\hline \text { Sample Size } & 100 & 80 \\\text { Mean } & \$ 12,850 & \$ 13,000 \\\text { Standard Deviation } & \$ 345 & \$ 500 \\\hline\end{array}$

To determine if women have a higher mean salary than men, we would test:

• A) \(H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0\) vs. \(H _ { \mathrm { a } } : \mu _ { 1 } - \mu _ { 2 } \neq 0\)
• B) \(H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0\) vs. \(H _ { \mathrm { a } } : \mu _ { 1 } - \mu _ { 2 } = 0\)
• C) \(H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0\) vs. \(H _ { a } : \mu _ { 1 } - \mu _ { 2 } > 0\)
• D) \(H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0\) vs. \(H _ { \mathrm { a } } : \mu _ { 1 } - \mu _ { 2 } < 0\)

---

Definitions:

Net Margin

A profitability metric calculated as net income divided by revenue, expressed as a percentage, indicating how much of each dollar in revenues is translated into profits.

Sales

The activity or business of selling goods or services to customers.

Net Income

The amount of money a company has left after all expenses, taxes, and costs have been subtracted from total revenue.

Owner's Equity

The residual interest in the assets of an entity after deducting liabilities, representing the owners' share.