Do Government Employees Take Longer Tea Breaks Than Private-Sector Workers

Essay

Do government employees take longer tea breaks than private-sector workers? That is the question that interested a management consultant. To examine the issue, he took a random sample of nine government employees and another random sample of nine private-sector workers and measured the amount of time (in minutes) they spent in tea breaks during the day. The results are listed below. $$\begin{array} { | c | c | } \hline \begin{array} { c } \text { Government } \\\text { employees }\end{array} & \begin{array} { c } \text { Private sector } \\\text { workers }\end{array} \\\hline 23 & 25 \\\hline 18 & 19 \\\hline 34 & 18 \\\hline 31 & 22 \\\hline 28 & 28 \\\hline 33 & 25 \\\hline 25 & 21 \\\hline 27 & 21 \\\hline 32 & 30 \\\hline\end{array}$$ Do these data provide sufficient evidence at the 5% significance level to answer the consultant's question in the affirmative?