Determine Whether the Samples Are Independent or Dependent Construct a 98% Confidence Interval For

question 9

Multiple Choice

Determine whether the samples are independent or dependent.
-A researcher was interested in comparing the salaries of female and male employees at a particular company. Independent simple random samples of 8 female employees and 15 male employees yielded the following
Weekly salaries (in dollars) . $$\begin{array} { r | r r } \text { Female } & \text { Male } & \\\hline 495 & 722 & 518 \\760 & 562 & 904 \\556 & 880 & 1150 \\904 & 520 & 805 \\520 & 500 & 480 \\1005 & 1250 & 970 \\743 & 750 & 605 \\660 & 1640 &\end{array}$$
Construct a 98% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ the difference between the mean weekly salary of female Employees and the mean weekly salary of male employees at the company. $\left( \text { Note: } \bar { x } _ { 1 } = \$ 705.38 , \bar { x } _ { 2 } = \$ 817.07 , \mathrm {~s} _ { 1 } = \$ 183.86 , \mathrm {~s} 2 = \$ 330.15 . \right)$

• A) \(- \$ 385 < \mu _ { 1 } - \mu _ { 2 } < \$ 164\)
• B) \(- \$ 431 < \mu _ { 1 } - \mu _ { 2 } < \$ 208\)
• C) \(- \$ 383 < \mu _ { 1 } - \mu _ { 2 } < \$ 159\)
• D) \(- \$ 382 < \mu _ { 1 } - \mu _ { 2 } < \$ 158\)

---

Definitions:

Investment Account

A financial account that holds securities, stocks, bonds, and other investments for a long-term goal.

Dividends

A portion of a company’s earnings distributed to shareholders, usually in the form of cash or additional shares.

Media Globalization

The worldwide integration and exchange of media content and communication technologies, fostering global connectivity and cultural exchange.

Indigenous Cultures

The customs, social practices, and ways of life of native peoples who have traditional ties to particular territories.