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

question 9

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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) .  Female  Male 4957225187605629045568801150904520805520500480100512509707437506056601640\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 μ1μ2\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. ( Note: xˉ1=$705.38,xˉ2=$817.07, s1=$183.86, s2=$330.15.) \left( \text { Note: } \bar { x } _ { 1 } = \$ 705.38 , \bar { x } _ { 2 } = \$ 817.07 , \mathrm {~s} _ { 1 } = \$ 183.86 , \mathrm {~s} 2 = \$ 330.15 . \right)

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