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:

African-Americans

A racial or ethnic group in the United States with ancestry from any of the black racial groups of Africa.

Lives in Poverty

The condition of individuals or families whose income falls below the necessary level to maintain basic living conditions.

Official Poverty Line

A government-determined threshold indicating the minimum level of income required to sustain a basic level of living.

Early 1960s

A period characterized by significant social, political, and cultural changes around the world, often remembered for movements advocating for civil rights and freedom.