Use the Runs Test to Determine Whether the Given Sequence

question 47

Essay

Use the runs test to determine whether the given sequence is random. Use a significance level
of 0.05. Test the sequence of digits below for randomness above and below the value of 4.5. $$\begin{array} { l l l l l l l l l l } 0 & 4 & 7 & 3 & 6 & 0 & 9 & 7 & 4 & 8 \\7 & 2 & 8 & 5 & 7 & 3 & 9 & 6 & 4 & 6 \\4 & 7 & 9 & 1 & 6 & 1 & 9 & 5 & 8 & 3 \\7 & 8 & 5 & 7 & 3 & 5 & 2 & 9 & 3 & 8\end{array}$$

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Definitions:

Informal Level

The degree or context of interaction that is casual, unstructured, and often outside of official channels or environments.

Unconsciously Learned

Skills or behaviors acquired without deliberate effort or awareness, often through implicit learning or observation.

Emblems

Non-verbal cues or gestures that have a specific, widely understood meaning within a particular culture or group.

Expressive Part

The component of communication or representation that conveys emotion or articulation.