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:

Privatization

The process of transferring ownership or operation, particularly of public services or assets, to private sector entities.

Symbolism

Involves the use of symbols to represent ideas or qualities in literature, art, and other forms of expression.

Public Nature

Characteristics or attributes that are not private, belonging to or affecting the community or society at large.

Rates of Imprisonment

The proportion or number of individuals within a population who are confined in prison.