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:

Research Question

A clear, focused question that guides a scientific study or research project, aiming to address specific aspects or phenomena.

Hypothesis

A theoretical statement explaining the relationship between two or more phenomena.

Variables

Elements, features, or factors that are liable to vary or change within a scientific experiment or research study.

Operationalized Variables

The process of defining variables systematically to ensure they are measurable and testable within research.