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Coffee Breaks
Do Government Employees Take Longer Coffee Breaks Than

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Coffee breaks
Do government employees take longer coffee breaks than private sector workers? That is a question that interested a management consultant.To examine the issue,he took a random sample of ten government employees and another random sample of ten private sector workers and measured the amount of time (in minutes)they spent in coffee breaks during the day.The results are listed below.Assume that the two populations are normally distributed.  Government  Employees  Private Sector  Workers 2325181934183122282833252521272132202116\begin{array} { | c | c | } \hline \begin{array} { c } \text { Government } \\\text { Employees }\end{array} & \begin{array} { c } \text { Private Sector } \\\text { Workers }\end{array} \\\hline 23 & 25 \\18 & 19 \\34 & 18 \\31 & 22 \\28 & 28 \\33 & 25 \\25 & 21 \\27 & 21 \\32 & 20 \\21 & 16 \\\hline\end{array}
-Estimate with 95% confidence the difference in coffee breaks mean time between the two groups.
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