Use the Runs Test to Determine Whether the Given Sequence $\begin{array} { l l l l l l l l l l } 94 & 96 & 97 & 99 & 95 & 90 & 97 & 98 & 100 & 100 \end{array}$

question 101

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. $\begin{array} { l l l l l l l l l l } 94 & 96 & 97 & 99 & 95 & 90 & 97 & 98 & 100 & 100 \end{array}$
$\begin{array} { l l l l l l l l l l } 92 & 95 & 98 & 99 & 102 & 97 & 97 & 101 & 99 & 100 \end{array}$
$\begin{array} { l l l l l l l l l l } 98 & 95 & 93 & 99 & 101 & 99 & 101 & 100 & 99 & 103 \end{array}$

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Definitions:

Personal Concerns

Individual issues, worries, or interests that are of personal significance and often impact one's emotional or mental well-being.

Fears

Unpleasant emotions or feelings caused by the belief that someone or something is dangerous, likely to cause pain, or a threat.

Manipulated

The act of being controlled or influenced in a deceptive or unethical way, often for another's advantage.

Discontinue

The act of ending or stopping something, such as a service, treatment, or product line.