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

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) $- \$ 382 < \mu _ { 1 } - \mu _ { 2 } < \$ 158$