Use the Runs Test to Determine Whether the Given Sequence

question 53

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

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Definitions:

Socioemotional Selectivity Theory

A concept proposing that with aging, individuals focus more on emotionally significant goals and relationships rather than seeking new knowledge or forming new acquaintances.

Social Convoy Theory

A theoretical model suggesting that individuals move through life surrounded by circles of close relationships that provide social support.

Marital Status

A legally defined condition of an individual in relation to marriage, such as single, married, divorced, or widowed.

Socioemotional Selectivity Theory

A theory that suggests individuals prioritize different types of goals and social interactions as they age, focusing more on meaningful, emotionally satisfying relationships.