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:

Insomnia

A sleep disorder characterized by difficulty falling asleep, staying asleep, or experiencing restful sleep.

Collective Unconscious

A concept proposed by Carl Jung, referring to the part of the unconscious mind that is derived from ancestral memory and experience, shared among beings of the same species.

Carl Jung

A Swiss psychiatrist and psychoanalyst who founded analytical psychology, known for his concepts of archetypes and the collective unconscious.

Psychodynamic Theorist

An individual specializing in psychodynamics, focusing on conscious and unconscious processes as they influence human behavior.