A Researcher Was Interested in Comparing the Salaries of Female

question 7

Multiple Choice

A researcher was interested in comparing the salaries of female and male employees of a particular company.Independent random samples of 8 female employees (sample 1) and 15 male employees (sample 2) yielded the following weekly salaries (in dollars) . $$\begin{array} { r | r r } \text { Female } & \text { Male } & \\\hline 495 & 722 & 518 \\760 & 562 & 904 \\556 & 880 & 1150 \\904 & 520 & 805 \\520 & 500 & 480 \\1005 & 1250 & 970 \\743 & 750 & 605 \\660 & 1640 &\end{array}$$ Determine a 98% confidence interval for the difference, $\mu _ { 1 } - \mu _ { 2 } ,$ between the mean weekly salary of all female employees and the mean weekly salary of all male employees.

• A)(-$335,$111)
• B)(-$158,$382)
• C)(-$383,$159)
• D)(-$431,$208)
• E)(-$385,$164)

---

Definitions:

Profile Plot

A graphical representation that shows the interaction effects between factors, often used in multivariate data analysis to display the mean values of different measurements across categories.

Interactions

In an experiment or statistical model, the way in which the effect of one explanatory variable on a response variable changes depending on the level of another explanatory variable.

Two-Way Analysis

A statistical method used to examine the effects of two independent variables on a dependent variable, often to understand interactions between the two variables.

Categorical Variables

Variables that represent types or categories, allowing for classification of individuals or items into distinct groups.