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

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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.  Government  employees  Private sector  workers 232518193418312228283325252127213230\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?


Definitions:

Computer Revolution

The rapid advancement in computing technology and its widespread integration into all aspects of daily life and society, significantly altering business, education, and social interactions since the late 20th century.

Invention of the Transistor

The development of a semiconductor device used to amplify or switch electronic signals, introduced in 1947, revolutionizing the field of electronics and leading to the creation of modern electronic devices.

Federal Government

The national government of a federal state, which shares power with subnational entities such as states or provinces.

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