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 34

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:

Social Informational

Relating to the process by which individuals acquire knowledge, attitudes, or behaviors through observing and interacting with others in their social environment.

Emotional Support

Assistance given to someone, typically providing reassurance, acceptance, and encouragement during times of stress.

Autonomous

The capacity to make decisions independently, free from external control or influence, often highlighting self-governance.

Orienting Principles

Fundamental concepts or assumptions that guide thinking, research, or policy in various fields.