Use the Runs Test to Determine Whether the Given Sequence

question 21

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

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Definitions:

Relapse Prevention

Strategies and techniques aimed at preventing a return to undesirable behavior or conditions, especially within healthcare and mental health contexts.

Self-Management

The ability to regulate one’s behavior, emotions, and thoughts in a way that is productive and conducive to achieving personal goals.

Upward Feedback

A process where employees provide feedback on their supervisor's performance, leadership style, and management practices.

Low-Risk Situations

Scenarios or environments where there is minimal chance of failure, harm, or loss, often used for training or practicing new skills.