Use the Runs Test to Determine Whether the Given Sequence

question 22

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:

Verbal Communications

The process of conveying messages and information through spoken words.

Religion

A set of beliefs concerning the cause, nature, and purpose of the universe, often involving ritual observances and a moral code.

Masculine Culture

A societal or organizational culture that values assertiveness, competitiveness, and material success, typically associated with traditional male roles.

Geert Hofstede

A Dutch social psychologist known for his work on the comparative study of cultures across nations, particularly in organizational contexts.