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:

Role Overload

A state in which too many expectations or demands are placed on a person.

High Expectation

A strong belief that something will happen or be the case in the future, often greater than standard norms.

Downsizes

The act of reducing the number of workers in a company as a cost-saving measure or because of restructuring needs.

Core Self-Evaluations

A personality trait which reflects an individual's fundamental assessments about themselves, their abilities, and their control over their environment.