Use the Runs Test to Determine Whether the Given Sequence

question 6

Essay

Use the runs test to determine whether the given sequence is random. Use a significance level of 0.05. The sequence of
numbers below represents the maximum temperature (in degrees Fahrenheit) in July in one U.S. town for 30
consecutive years. Test the sequence for randomness above and below the median. $$\begin{array} { | c c c c c c c c c c | } \hline 94 & 96 & 97 & 99 & 95 & 90 & 97 & 98 & 100 & 100 \\92 & 95 & 98 & 99 & 102 & 97 & 97 & 101 & 99 & 100 \\98 & 95 & 93 & 99 & 101 & 99 & 101 & 100 & 99 & 103 \\\hline\end{array}$$

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Definitions:

Minimum Wage

The lowest legal hourly pay for workers, set by government regulation.

Scientific Management

An early management theory that emphasizes the use of scientific methods to determine the most efficient ways to work, enhance productivity, and reduce waste.

Frederick Taylor

An engineer who is considered the father of scientific management, emphasizing efficiency, systematic management, and task specialization.

Scientific Management

A management theory developed by F.W. Taylor that emphasizes efficiency and productivity through the measurement, and analysis of workflow.